Inclusion Principle

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Dragoslav D. Šiljak - One of the best experts on this subject based on the ideXlab platform.

  • Stochastic Decentralized Control of a Platoon of Vehicles Based on the Inclusion Principle
    Optimization Theory Decision Making and Operations Research Applications, 2012
    Co-Authors: Srdjan S. Stankovic, M.j. Stanojevic, Dragoslav D. Šiljak
    Abstract:

    In this paper the Stochastic Inclusion Principle is applied to decentralized Linear Quadratic Gaussian (LQG) suboptimal longitudinal control design of a platoon of automotive vehicles. Starting from a stochastic linearized platoon state model, input/state overlapping subsystems are identified and extracted after an adequate expansion. An algorithm for approximate LQG optimization of these subsystems is developed in accordance with their hierarchical lower-block-triangular (LBT) structure. Vehicle controllers obtained after contraction, which leaves the local Kalman filters uncontracted, provide high performance tracking and noise immunity. Simulation results illustrate characteristic properties of the proposed algorithm.

  • Inclusion Principle for Descriptor Systems
    IEEE Transactions on Automatic Control, 2009
    Co-Authors: Delin Chu, Yuzo Ohta, Dragoslav D. Šiljak
    Abstract:

    The purpose of this paper is to propose an expansion-contraction framework for linear constant descriptor systems within the Inclusion Principle for dynamic systems. Our primary objective is to provide an explicit characterization of the expansion process whereby a given descriptor system is expanded into the larger space where all its solutions are reproducible by the expanded descriptor system if appropriate initial conditions are selected. When a control law is formulated in the expanded space, the proposed characterizations provide contractibility conditions for implementation of the control law in the original system. A full freedom is provided for selecting appropriate matrices in the proposed expansion-contraction control scheme. In particular, the derived theoretical framework serves as a flexible environment for expansion-contraction control design of descriptor systems under overlapping information structure constraints.

  • A new approach to control design with overlapping information structure constraints
    Automatica, 2005
    Co-Authors: A.i. Zecevic, Dragoslav D. Šiljak
    Abstract:

    In this paper, a new strategy is proposed for decentralized state feedback design with overlapping information structure constraints. The method combines linear matrix inequalities and the Inclusion Principle in a way that eliminates controllability problems that are inherent to standard decentralized control design in the expanded space. This approach can be extended to include an important class of uncertain nonlinearities, and its validity is demonstrated through applications to strings of moving vehicles.

  • Inclusion Principle for Linear Time-Varying Systems
    SIAM Journal on Control and Optimization, 2003
    Co-Authors: Srdjan S. Stankovic, Dragoslav D. Šiljak
    Abstract:

    The main objective of this paper is to consider time-varying linear systems within the framework of the Inclusion Principle. Starting from general definitions, conditions are derived for a dynamic system to include a dynamic system of smaller dimension. Particular attention is paid to restriction and aggregation, the most important special cases of Inclusion. It is proved, using geometric arguments within the general time-varying context, that any Inclusion relationship on a given time-interval can be decomposed into a sequence of restriction-aggregation pairs. Connections between Inclusion and zero-state equivalence are discussed. The paper also presents a formulation of the contractibility (expandability) conditions for time-varying state-feedback controllers.

  • DECENTRALIZED H∞ DESIGN OF AUTOMATIC GENERATION CONTROL
    IFAC Proceedings Volumes, 2002
    Co-Authors: Xue-bo Chen, Dragoslav D. Šiljak, Srdjan S. Stankovic
    Abstract:

    Abstract An H ∞ decentralized design is proposed for automatic generation control (AGC) of multi-area overlapping interconnected power systems. To derive the resulting controller, the Inclusion Principle and LMI algorithms are discussed in the H ∞ framework for the original and expanded systems. Taking a two-area overlapping interconnected power system AGC as an example, a simulation of responses to load step disturbances is used to illustrate the performance of the new H ∞ decentralized AGC design.

Xue-bo Chen - One of the best experts on this subject based on the ideXlab platform.

  • flocking for multiagent systems with partial information exchange based on Inclusion Principle
    Mathematical Problems in Engineering, 2020
    Co-Authors: Hui Wei, Xue-bo Chen
    Abstract:

    This paper investigates the flocking problem of multi-agents with partial information exchange, which means that only part, but not all, of the agents are informed of the group objective. A distributed flocking model based on the Inclusion Principle is provided to simplify the design and analysis of multi-agent systems. Furthermore, to reduce the communication energy consumption, an improved flocking algorithm based on the model is proposed to achieve stable flocking for all the agents. The stability of the multi-agent system is then established, with the help of the Lyapunov stability theorem and LaSalle’s invariance Principle. Especially, considering the individual heterogeneity in both nature and engineering applications, we also investigate the flocking problem of multi-agents with different sensing radiuses and equilibrium distances. Finally, two kinds of simulation results are presented to demonstrate the validity of the proposed results. This work provides an insight not only into the properties of the different species of individual flocking, but also into the theoretical framework for the engineering design of multi-agent systems considering individual heterogeneity.

  • group safety consciousness reconstruction based on the Inclusion Principle
    International Conference on Applied Human Factors and Ergonomics, 2017
    Co-Authors: Xue-bo Chen, Qiubai Sun
    Abstract:

    “People” of behavior safety systems composed of people, things and the environment are being regard as object of this research. The interaction relationships of group security awareness are studied with the help of Lotka-Volterra model. According to the organization structure of enterprise, the interaction mode of safety awareness is star type interaction. The interactive relationship between individual security awareness of enterprise employees researched after the overlapping decomposition of Lotka-Volterra model based on the Principle of Inclusion. The decentralized coordinated control is applied to the reconstruction of the safety consciousness, and the security awareness state feedback controller and the individual relation coordinator are set up to make the security awareness meet the standard. Finally, the simulation results show that the decentralized coordination control can achieve the consistency reconstruction of security awareness. This paper provides reference for the enterprise to make achievements in safety management.

  • connective stability analysis for a class of large scale systems based on the Inclusion Principle
    International Conference on Swarm Intelligence, 2012
    Co-Authors: Xue-bo Chen, Xinyu Ouyang, Xiao Xiao
    Abstract:

    Based on the Inclusion Principle, a judging method of connective stability is presented for a class of linear interconnected large-scale systems. First, the system is decomposed into a group of subsystems. Through stability analysis and judgment of each subsystem, a group of judgment matrices are obtained. After being permuted and corrected, these judgment matrices can be composed an extended judgment matrix. According to the constraints conditions of Inclusion Principle, it can be contracted into a judgment matrix. If the judgment matrix is diagonally dominant and an M-matrix, then the system is connective stable. Parameters of judgment matrices are derived from each subsystem, which are easy to be obtained. Finally, it takes an example to show that the method is of the validity.

  • ICSI (2) - Connective stability analysis for a class of large-scale systems based on the Inclusion Principle
    Lecture Notes in Computer Science, 2012
    Co-Authors: Xue-bo Chen, Xinyu Ouyang, Xiao Xiao
    Abstract:

    Based on the Inclusion Principle, a judging method of connective stability is presented for a class of linear interconnected large-scale systems. First, the system is decomposed into a group of subsystems. Through stability analysis and judgment of each subsystem, a group of judgment matrices are obtained. After being permuted and corrected, these judgment matrices can be composed an extended judgment matrix. According to the constraints conditions of Inclusion Principle, it can be contracted into a judgment matrix. If the judgment matrix is diagonally dominant and an M-matrix, then the system is connective stable. Parameters of judgment matrices are derived from each subsystem, which are easy to be obtained. Finally, it takes an example to show that the method is of the validity.

  • Pair-wise decomposition and coordinated control of complex systems
    Information Sciences, 2012
    Co-Authors: Xue-bo Chen, Xinyu Ouyang, Tian-yun Huang, Srdjan S. Stankovic
    Abstract:

    Pair-wise decomposition and coordinated control for complex interconnected systems with any information structure constraints are proposed in this paper. Based on the Inclusion Principle, a permuted Inclusion Principle is presented to expand the system into an expanded space, from which a recurrent reverse order of pair-wise subsystems is extracted. By a standard LQ control, pair-wise controllers can be designed to stabilize and coordinate the pair-wise subsystems. According to these controllers, a coordinated compensator of subsystem interconnections is introduced in order to obtain a coordination-based controller for the expanded system. Therefore, a coordinated controller of the system can be contracted from the expanded space under the conditions of the Inclusion Principle. Moreover, a sufficient condition of connective stability for the system is also proved by the Lyapunov function and M-matrix. A main advantage of the proposed decomposition and control is that it allows any variation of information structure constraints of the system, especially the increase and decrease of subsystem numbers. Finally, the effectiveness of the proposed methodology is demonstrated by an application of automatic generation control to a four-area electric power system.

Srdjan S. Stankovic - One of the best experts on this subject based on the ideXlab platform.

  • Decentralized overlapping tracking control
    International Journal of General Systems, 2014
    Co-Authors: Srdjan S. Stankovic, Dusan M. Stipanovic, Milos S. Stankovic
    Abstract:

    In this paper, a new methodology for decentralized overlapping tracking control of complex or large-scale systems is proposed. The methodology is demonstrated in the case of multiple systems moving in a plane. Starting from the given information structure constraints, the expansion/contraction paradigm based on the restriction conditions is applied. The local design provides tracking controllers for the extracted subsystems; contraction is done according to the Inclusion Principle and results in a stable controller provided the system graph has a directed spanning tree. A specific methodology based on sequential LQ optimization is proposed for local controller design.

  • Stochastic Decentralized Control of a Platoon of Vehicles Based on the Inclusion Principle
    Optimization Theory Decision Making and Operations Research Applications, 2012
    Co-Authors: Srdjan S. Stankovic, M.j. Stanojevic, Dragoslav D. Šiljak
    Abstract:

    In this paper the Stochastic Inclusion Principle is applied to decentralized Linear Quadratic Gaussian (LQG) suboptimal longitudinal control design of a platoon of automotive vehicles. Starting from a stochastic linearized platoon state model, input/state overlapping subsystems are identified and extracted after an adequate expansion. An algorithm for approximate LQG optimization of these subsystems is developed in accordance with their hierarchical lower-block-triangular (LBT) structure. Vehicle controllers obtained after contraction, which leaves the local Kalman filters uncontracted, provide high performance tracking and noise immunity. Simulation results illustrate characteristic properties of the proposed algorithm.

  • Pair-wise decomposition and coordinated control of complex systems
    Information Sciences, 2012
    Co-Authors: Xue-bo Chen, Xinyu Ouyang, Tian-yun Huang, Srdjan S. Stankovic
    Abstract:

    Pair-wise decomposition and coordinated control for complex interconnected systems with any information structure constraints are proposed in this paper. Based on the Inclusion Principle, a permuted Inclusion Principle is presented to expand the system into an expanded space, from which a recurrent reverse order of pair-wise subsystems is extracted. By a standard LQ control, pair-wise controllers can be designed to stabilize and coordinate the pair-wise subsystems. According to these controllers, a coordinated compensator of subsystem interconnections is introduced in order to obtain a coordination-based controller for the expanded system. Therefore, a coordinated controller of the system can be contracted from the expanded space under the conditions of the Inclusion Principle. Moreover, a sufficient condition of connective stability for the system is also proved by the Lyapunov function and M-matrix. A main advantage of the proposed decomposition and control is that it allows any variation of information structure constraints of the system, especially the increase and decrease of subsystem numbers. Finally, the effectiveness of the proposed methodology is demonstrated by an application of automatic generation control to a four-area electric power system.

  • Decomposition and decentralized control of systems with multi-overlapping structure
    Automatica, 2005
    Co-Authors: Xue-bo Chen, Srdjan S. Stankovic
    Abstract:

    This paper considers decomposition and decentralized control of systems with multi-overlapping structure. It is demonstrated, using the Inclusion Principle, how the systems with longitudinal, loop and radial topologies can be expanded, and how the results can be used for designing controllers under information structure constraints. The proposed methodology is applied to automatic generation control (AGC) of an electric power system.

  • Dual Inclusion Principle for overlapping interconnected systems
    International Journal of Control, 2004
    Co-Authors: Xue-bo Chen, Srdjan S. Stankovic
    Abstract:

    Restriction and aggregation are two dual Inclusion conditions, which are revealed in the research field of Inclusion Principle for state space descriptions of overlapping interconnected systems. An input-state-output dual Inclusion Principle is proposed for linear time invariant systems and their dual systems, with the focus on restriction and aggregation in duality for direct contraction of control laws and state observers. In these two special Inclusion cases, dual relationships of restriction and aggregation Inclusion conditions are formulated between an original system and its dual system. Overlapping decentralized controller design problems are considered within the framework of the dual Inclusion Principle. It is shown that, if dual Inclusion is satisfied, in the same type of expansions (restriction or aggregation) for both original system and its dual system, direct contraction can be applied to designed control laws or state observers from the expansion to the original space, while dual informatio...

S.s. Stankovic - One of the best experts on this subject based on the ideXlab platform.

  • Stochastic Inclusion Principle Applied to Decentralized Overlapping Suboptimal LQG Control of a Platoon of Vehicles
    EUROCON 2005 - The International Conference on "Computer as a Tool", 2005
    Co-Authors: S.s. Stankovic, M.j. Stanojevic, D D Siljak
    Abstract:

    In this paper, the stochastic Inclusion Principle is applied to decentralized LQG suboptimal longitudinal control design of a platoon of automotive vehicles. Starting from a stochastic linearized platoon state model, input/state overlapping subsystems are defined and extracted after an adequate expansion. An algorithm for approximate LQG optimization of these subsystems is developed. Vehicle controllers obtained after contraction provide high performance tracking and noise immunity

  • Structural control for overlapping interconnected power systems
    2005 International Conference on Control and Automation, 2005
    Co-Authors: Xue-bo Chen, S.s. Stankovic
    Abstract:

    A structural control methodology is proposed for automatic generation control (AGC) of power systems with the multi-area overlapping interconnected information structure constraint. To derive the structural controllers preserving information structures of the system, restriction conditions of the Inclusion Principle are considered in the framework of topological structure for the original and its expanded systems. The application of the proposed controllers to a four-area overlapping interconnected power system AGC is presented to illustrate the performance of the new AGC design.

  • Dual Inclusion Principle for dual systems
    Proceedings of the 41st IEEE Conference on Decision and Control 2002., 2002
    Co-Authors: Xue-bo Chen, S.s. Stankovic
    Abstract:

    A dual Inclusion is defined for dual systems in this paper. For restriction and aggregation as special Inclusion cases, their dual relationships of Inclusion conditions between the original system and its dual system are derived. It is shown that, in the expansions of both original and its dual overlapping interconnected systems, only one case of restriction or aggregation conditions is enough to be applied to the direct contraction of designed controllers and state observers.

  • Decentralized overlapping control of a platoon of vehicles
    IEEE Transactions on Control Systems Technology, 2000
    Co-Authors: S.s. Stankovic, M.j. Stanojevic, D D Siljak
    Abstract:

    A methodology is proposed for longitudinal control design of platoons of automotive vehicles within intelligent vehicle/highway systems (IVHSs). The proposed decentralized overlapping control law is obtained by using the Inclusion Principle, i.e., by decomposing the original system model by an appropriate input/state expansion, and by applying the linear quadratic (LQ) optimization to the locally extracted subsystems. The local quadratic criteria directly reflect the desired system performance. Optimization is carried out by using a sequential algorithm adapted to the lower block triangular (LBT) structure of the closed-loop system model. Contraction to the original space provides a decentralized platoon controller which preserves the asymptotic stability and the steady-state behavior of the controller obtained in the expanded space. Conditions for eliminating the "slinky effect" and obtaining the strict string stability are defined; it is shown that the corresponding constraints on the controller parameters are not too restrictive. A new dynamic platoon controller structure, consisting of a reduced order observer and a static feedback map, is obtained by applying the Inclusion Principle to the decentralized overlapping platoon control design in the case when the information from the preceding vehicle is missing. Numerous simulation results show that the proposed methodology provides a reliable tool for a systematic and efficient design of platoon controllers within IVHS.

  • Overlapping decentralised observation and control of a platoon of vehicles
    Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), 1999
    Co-Authors: Dragoslav D. Šiljak, S.m. Mladenovic, S.s. Stankovic
    Abstract:

    A methodology of designing contractible dynamic controllers derived from the Inclusion Principle is applied to observation and control of a platoon of vehicles. The platoon state feedback is derived by using sequential LQ optimization, while the reduced order observer, using local measurements, provides compliance with velocity and acceleration reference profiles. Simulation studies confirm the quality of the proposed controller.

Josep M. Rossell - One of the best experts on this subject based on the ideXlab platform.

  • A Mathematical Framework for Structural Control Integration
    Advances in Science and Technology, 2012
    Co-Authors: Josep M. Rossell, José Rodellar, Francisco Palacios-quiñonero, Josep Rubió-massegú
    Abstract:

    In this paper, some control strategies to design decentralized controllers are developed and discussed. These strategies are based on the Inclusion Principle, a very useful mathematical framework to obtain decentralized controllers, mainly when the systems are composed by overlapped subsystems sharing common parts. A five-story building model serves as example to show the advantages provided by this approach. Numerical simulations are conducted to assess the performance of the proposed control laws with positive results.

  • Sequential design of multi-overlapping controllers for longitudinal multi-overlapping systems
    Applied Mathematics and Computation, 2010
    Co-Authors: Francisco Palacios-quiñonero, José Rodellar, Josep M. Rossell
    Abstract:

    In this paper a strategy to design multi-overlapping controllers for systems with longitudinal multi-overlapping structure is presented. The design process uses the Inclusion Principle to carry out a multi-step expansion that allows the decentralized design of a sequence of expanded local controllers. These expanded local controllers are subsequently contracted to produce a multi-overlapping controller that can be implemented in the original system. To illustrate the proposed methodology, the response of a four-story building under a seismic excitation is considered.

  • Inclusion Principle for uncertain discrete-time systems with guaranteed cost
    2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
    Co-Authors: Lubomír Bakule, José Rodellar, Josep M. Rossell
    Abstract:

    The paper presents an extension of the Inclusion Principle to uncertain nominally linear discrete-time systems with quadratic costs using the concept of quadratic guaranteed cost control. The uncertainty is assumed to be time-varying norm-bounded in both state and input matrices. The main contribution is the derivation of conditions under which a quadratic guaranteed cost control designed in the expanded space can be contracted to the initial system preserving simultaneously the value of the cost functions. The control law is designed in the expanded space by using an LMI approach. The specialization of the results on feedback control with decentralized information structure constraints is given. An illustrative example is supplied.

  • COMPLEMENTARY MATRICES IN THE Inclusion Principle FOR DYNAMIC CONTROLLERS
    Kybernetika, 2003
    Co-Authors: Lubomír Bakule, José Rodellar, Josep M. Rossell
    Abstract:

    A generalized structure of complementary matrices involved in the input-state-output Inclusion Principle for linear time-invariant systems (LTI) including contractibility condi­ tions for static state feedback controllers is well known. In this paper, it is shown how to further extend this structure in a systematic way when considering contractibility of dynamic controllers. Necessary and sufficient conditions for contractibility are proved in terms of both unstructured and block structured complementary matrices for general expan­ sion/contraction transformation matrices. Explicit sufficient conditions for blocks of com­ plementary matrices ensuring contractibility are proved for general expansion/contraction transformation matrices. Moreover, these conditions are further specialized for a particular class of transformation matrices. The results are derived in parallel for two important cases of the Inclusion Principle namely for the case of expandability of controllers and the case of extensions.

  • Overlapping guaranteed cost control for time-varying discrete-time uncertain systems
    Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002
    Co-Authors: Lubomír Bakule, José Rodellar, Josep M. Rossell
    Abstract:

    The paper presents results on the Inclusion Principle for uncertain, nominally linear, time-varying, discrete-time systems. The systems under consideration have time-varying norm-bounded parameter uncertainties in both state and input matrices. Robust controllers are assumed to be available by using guaranteed cost control approach. The main contribution is in the derivation of explicit block structured conditions on complementary matrices of systems and controllers within the expansion-contraction scheme. A particular selection procedure for complementary matrices is included.