The Experts below are selected from a list of 291 Experts worldwide ranked by ideXlab platform

Ben M. Chen - One of the best experts on this subject based on the ideXlab platform.

  • structural analysis of a helicopter dynamic model using the special Coordinate Basis decomposition
    Chinese Control Conference, 2012
    Co-Authors: Biao Wang, Ben M. Chen
    Abstract:

    This paper presents a thorough structural analysis to a helicopter dynamic model using the special Coordinate Basis decomposition technique, which is capable of capturing the structural properties of a given system, such as the finite and infinite zero structures as well as the invertibility structures in different actuator/sensor configurations. They are important to guide a successful control design. Although the result is presented in the form of a case study, it is believed to be applicable to other types of helicopters, or even other types of aircraft.

  • interconnection of kronecker canonical form and special Coordinate Basis of multivariable linear systems
    Systems & Control Letters, 2008
    Co-Authors: Ben M. Chen, Xinmin Liu, Zongli Lin
    Abstract:

    This paper establishes a straightforward interconnection between the Kronecker canonical form and the special Coordinate Basis of linear systems. Such an interconnection yields an alternative approach for computing the Kronecker canonical form, and as a by-product, the Smith form, of the system matrix of general multivariable time-invariant linear systems. The overall procedure involves the transformation of a given system in the state-space description into the special Coordinate Basis, which is capable of explicitly displaying all the system structural properties, such as finite and infinite zero structures, as well as system invertibility structures. The computation of the Kronecker canonical form and Smith form of the system matrix is rather simple and straightforward once the given system is put under the special Coordinate Basis. The procedure is applicable to proper systems and singular systems.

  • ACC - Explicit Construction of H Control Law for a Class of Nonminimum Phase Nonlinear Systems
    2007 American Control Conference, 2007
    Co-Authors: Weiyao Lan, Ben M. Chen
    Abstract:

    We tackle in this paper an Hinfin control problem for a class of nonminimum phase nonlinear systems. The system nonlinearities, which depend on the system output, can be unknown, but satisfy some linear growth conditions. The given system is first transformed into a special Coordinate Basis, in which the system zero dynamics is divided into a stable part and an unstable part. A sufficient solvability condition is then established for solving the nonlinear Hinfin control problem. Moreover, based on the sufficient solvability condition, an upper bound of the best achievable L2 gain from the system disturbance to the system controlled output is estimated for the nonlinear Hinfin control problem. The proof of our result yield explicit algorithms for constructing required control law for solving the nonlinear Hinfin control problem. In particular, the solution to the nonlinear Hinfin control problem does not require solving any Hamilton-Jacobi equations. Finally, the obtained results are utilized to solve a benchmark problem on a rotational/translational actuator (RTAC) system.

  • ICARCV - Explicit Constructions of Global Stabilization Control Laws for a Class of Nonminimum Phase Nonlinear Systems
    2006 9th International Conference on Control Automation Robotics and Vision, 2006
    Co-Authors: Weiyao Lan, Ben M. Chen
    Abstract:

    This paper addresses a global stabilization problem for a class of nonminimum phase nonlinear systems. The nonlinearities of the system, which depend on the system output, can be unknown, but satisfy some linear growth conditions. The given system is first transformed into a special Coordinate Basis, in which the system zero dynamics is divided into a stable part and an unstable part. A sufficient solvability condition is then established for solving the global stabilization problem. Finally, the obtained result is utilized to solve a stabilization problem on a rotational/translational actuator (RTAC) system.

  • INTERCONNECTION OF THE KRONECKER FORM AND SPECIAL Coordinate Basis OF GENERAL MULTIVARIABLE LINEAR SYSTEMS
    IFAC Proceedings Volumes, 2005
    Co-Authors: Ben M. Chen, Xinmin Liu, Zongli Lin
    Abstract:

    Abstract This paper establishes a straightforward interconnection between the Kronecker canonical form and the special Coordinate Basis of linear systems. Such an interconnection enables the computation of the Kronecker canonical form, and as a by-product, the Smith form, of the system matrix of general multivariable time-invariant linear systems. The overall procedure involves the transformation of a given system in the state-space description into the special Coordinate Basis, which is capable of explicitly displaying all the system structural properties, such as finite and infinite zero structures, as well as system invertibility structures. The computation of the Kronecker canonical form and Smith form of the system matrix is rather simple and straightforward once the given system is put under the special Coordinate Basis. The procedure is applicable to proper systems and singular systems.

P.r. Kumar - One of the best experts on this subject based on the ideXlab platform.

  • Object Tracking by Scattered Directional Sensors
    Proceedings of the 44th IEEE Conference on Decision and Control, 1
    Co-Authors: Kurt Plarre, P.r. Kumar
    Abstract:

    We address the problem of how to track objects moving at constant velocity using only directional sensors in a wireless sensor network. We model the field of vision of each directional sensor as a line, with the measured data being the times at which sensors detect objects crossing their lines. The network is initially deployed by scattering sensors, and the locations and directions in which the sensor point are also unknown a priori, in addition to the trajectories of the objects. The estimation problem involves the solution of a highly non-convex optimization problem. However we develop a three phase algorithm to solve the problem. It first chooses a Coordinate Basis adapted to the motions of the first two objects. Then it localizes the sensors with respect to that Basis, and refines it as new objects arrive. Finally it transforms the Basis if the GPS positions of six of the deployed nodes are known.

Roger C. E. Tan - One of the best experts on this subject based on the ideXlab platform.

  • On the numerical computation of a structural decomposition in systems and control
    IEEE Transactions on Automatic Control, 2002
    Co-Authors: Delin Chu, Xinmin Liu, Roger C. E. Tan
    Abstract:

    In this paper, we develop a new numerical method for a special Coordinate Basis of a linear time invariant system. Such a special Coordinate Basis is essentially a structural decomposition which explicitly displays the finite and infinite zero structures, as well as the invertibility structures of the given system. The technique is playing important roles in numerous topics in system and control theory, such as robust control, H/sub /spl infin// and H/sub 2/ optimal control almost disturbance decoupling, and zero placement of linear systems, just to name a few. Our method consists of three steps: reduction by orthogonal transformations, reduction by generalized Sylvester equations, and extraction of infinite zero structure. The performance of our method is illustrated by some numerical examples.

Machhindranath Patil - One of the best experts on this subject based on the ideXlab platform.

  • Sliding mode control with the reduced-order switching function: an SCB approach
    International Journal of Control, 2015
    Co-Authors: B. Bandyopadhyay, Machhindranath Patil
    Abstract:

    In this paper, the method to design the reduced-order switching function for an uncertain linear system in special Coordinate Basis (SCB) form is proposed. The sliding mode control with this method guarantees the asymptotic stability of all the states of system in presence of matched disturbance. The proposed design method is applicable to the system with unstable internal dynamics as well. This method enables the option of designing the control law with reduced-order states that are involved in the design of switching function. Also, a high performance sliding mode step-tracking control for non-minimum phase systems using reduced-order nonlinear switching function is proposed. The method is also extended to multiple-input and multiple-output (MIMO) systems. An effectiveness of sliding mode control with reduced-order switching function is shown through numerical examples

  • High Performance Sliding Mode Tracking Control for Nonminimum Phase Systems
    IFAC Proceedings Volumes, 2013
    Co-Authors: Machhindranath Patil, Bijnan Bandyopadhyay
    Abstract:

    Abstract Tracking problem of uncertain nonminimum phase system using sliding mode control is solved in two steps. The first step involves structural decomposition of a system via two invertible transformations to bring the system into special Coordinate Basis. In the second step, sliding mode control is applied to stabilize the mismatch dynamic of the system without experiencing the overshoot in response, while keeping the speed of response faster in presence of matched disturbance.

  • Discrete-Time Sliding Mode Tracking Control for NMP Systems Using Reduced Order Switching Function
    IFAC Proceedings Volumes, 2013
    Co-Authors: Machhindranath Patil, Bijnan Bandyopadhyay
    Abstract:

    Abstract In this paper design of reduced order switching function for a discrete-time uncertain nonminimum phase system in special Coordinate Basis form is proposed. The sliding mode control with this method guarantees the asymptotic stability of all states of system in presence matched disturbance. This problem is further extended to the tracking problem of discrete time uncertain nonminimum phase systems. The results obtained with reduced order sliding surface design are compared with the results of full order sliding surface.

Xinmin Liu - One of the best experts on this subject based on the ideXlab platform.

  • interconnection of kronecker canonical form and special Coordinate Basis of multivariable linear systems
    Systems & Control Letters, 2008
    Co-Authors: Ben M. Chen, Xinmin Liu, Zongli Lin
    Abstract:

    This paper establishes a straightforward interconnection between the Kronecker canonical form and the special Coordinate Basis of linear systems. Such an interconnection yields an alternative approach for computing the Kronecker canonical form, and as a by-product, the Smith form, of the system matrix of general multivariable time-invariant linear systems. The overall procedure involves the transformation of a given system in the state-space description into the special Coordinate Basis, which is capable of explicitly displaying all the system structural properties, such as finite and infinite zero structures, as well as system invertibility structures. The computation of the Kronecker canonical form and Smith form of the system matrix is rather simple and straightforward once the given system is put under the special Coordinate Basis. The procedure is applicable to proper systems and singular systems.

  • INTERCONNECTION OF THE KRONECKER FORM AND SPECIAL Coordinate Basis OF GENERAL MULTIVARIABLE LINEAR SYSTEMS
    IFAC Proceedings Volumes, 2005
    Co-Authors: Ben M. Chen, Xinmin Liu, Zongli Lin
    Abstract:

    Abstract This paper establishes a straightforward interconnection between the Kronecker canonical form and the special Coordinate Basis of linear systems. Such an interconnection enables the computation of the Kronecker canonical form, and as a by-product, the Smith form, of the system matrix of general multivariable time-invariant linear systems. The overall procedure involves the transformation of a given system in the state-space description into the special Coordinate Basis, which is capable of explicitly displaying all the system structural properties, such as finite and infinite zero structures, as well as system invertibility structures. The computation of the Kronecker canonical form and Smith form of the system matrix is rather simple and straightforward once the given system is put under the special Coordinate Basis. The procedure is applicable to proper systems and singular systems.

  • On the numerical computation of a structural decomposition in systems and control
    IEEE Transactions on Automatic Control, 2002
    Co-Authors: Delin Chu, Xinmin Liu, Roger C. E. Tan
    Abstract:

    In this paper, we develop a new numerical method for a special Coordinate Basis of a linear time invariant system. Such a special Coordinate Basis is essentially a structural decomposition which explicitly displays the finite and infinite zero structures, as well as the invertibility structures of the given system. The technique is playing important roles in numerous topics in system and control theory, such as robust control, H/sub /spl infin// and H/sub 2/ optimal control almost disturbance decoupling, and zero placement of linear systems, just to name a few. Our method consists of three steps: reduction by orthogonal transformations, reduction by generalized Sylvester equations, and extraction of infinite zero structure. The performance of our method is illustrated by some numerical examples.