The Experts below are selected from a list of 291 Experts worldwide ranked by ideXlab platform
Li Wang - One of the best experts on this subject based on the ideXlab platform.
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the nonlinear system design technique based on Dynamic Equilibrium state theory
International Conference on Innovative Computing Information and Control, 2007Co-Authors: Li WangAbstract:The nonlinear system design technique based on the Dynamic Equilibrium state theory is a new design technique based on the concept of the asymptotically stability of the control system Dynamic Equilibrium state. It first designs a referenced system according to a given performance, then takes the state of the referenced system as the Dynamic Equilibrium state of the original control system, designs a control law to make the system state move to its Dynamic Equilibrium in a scheduled way. When apply this method in the design of nonlinear tracking, the design process is straightforward and the simulation result is right, and the meanings of the Dynamic Equilibrium state can also be deeply understood.
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the nonlinear system tracking design based on the Dynamic Equilibrium state theory
Chinese Control Conference, 2006Co-Authors: Li Wang, Qinglin WangAbstract:The nonlinear system design technique based on the Dynamic Equilibrium state theory is a new design technique based on the concept of the asymptotically stability of the control system Dynamic Equilibrium state. It first designs a referenced system according to a given performance, then takes the state of the referenced system as the Dynamic Equilibrium state of the original control system, designs a control law to make the system state move to its Dynamic Equilibrium in a scheduled way. When this method is applied in the design of nonlinear tracking, the design process is straightforward and the simulation result is right, and the meanings of the Dynamic Equilibrium state can be deeply understood.
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The analysis of the Dynamic Equilibrium in nonlinear control system
IEEE Conference on Cybernetics and Intelligent Systems 2004., 2004Co-Authors: Li Wang, Qinglin WangAbstract:This paper discusses not a point of Equilibrium to free system, but a certain family of Equilibrium of nonlinear Dynamical system with inputs. This Equilibrium depends on the input, so it is called the Dynamic Equilibrium. The expression of the Dynamic Equilibrium is given under some certain condition. The stability property of the Dynamic Equilibrium depends also on the input, and it is discussed in systems with slowly varying input by two methods. We suggest some applications of this theory in the design of the nonlinear control system, address the direct method of feedback linearization based on the Dynamic Equilibrium state theory and the backstepping technique based on the Dynamic Equilibrium state theory
Qinglin Wang - One of the best experts on this subject based on the ideXlab platform.
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An Overview of Dynamic Equilibrium State Theory
Proceedings of the 2015 Chinese Intelligent Automation Conference, 2015Co-Authors: Linjie Xin, Qinglin WangAbstract:The Dynamic Equilibrium state (DES) theory is a novel analysis method for control systems. It is considered that what the input of control system controls directly is the Equilibrium state, not the output or state of system. The state moves under constrain of the system structure matrix. If the system structure matrix is stable, the state moves relatively to its Equilibrium state. This idea gives new solutions for the steady-state analysis in the state space, and is applied in the nonlinear time-varying system design. It provides a new point of view for the control system design. The recent development of DES theory is reviewed in this paper, which is summarized by five issues. Furthermore, the future studies are pointed out.
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Backstepping Control Based on the Dynamic Equilibrium State Theory for Strict-Feedback Nonlinear Systems
Applied Mechanics and Materials, 2011Co-Authors: De Hui Qiu, Qinglin Wang, Jie YangAbstract:A novel control approach is introduced for strict-feedback nonlinear systems based on the Dynamic Equilibrium state theory. First, the basic idea of the Dynamic Equilibrium state theory is presented. The Dynamic Equilibrium state is not the origin or the constant, but means change under the effect of input for non-free systems. Then, the method of steady state control is combined with backstepping technology, realizing the feedback linearization and stability step by step and guaranteeing uniform ultimate boundedness of all signals in the closed-loop system. The proposed approach has much simpler expression and is easy to understand. Finally, two simulation examples are used to demonstrate the effectiveness of the proposed scheme.
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Dynamic Equilibrium state controllability of linear time-invariant systems
2010 8th World Congress on Intelligent Control and Automation, 2010Co-Authors: Qinglin Wang, You ZhouAbstract:A definition of the Dynamic Equilibrium state controllability of linear time-invariant systems is presented based upon Dynamic Equilibrium state theory, on which the necessary and sufficient conditions for the Dynamic Equilibrium state controllability are elaborated. Compared with the state controllability, the condition of the Dynamic Equilibrium state controllability is stricter. It is also proved that the necessary and sufficient condition for the both is equivalent in some condition. Furthermore, if the state is controllable in a stable system, the Dynamic Equilibrium state can be reached to any point on the state space by the state feedback.
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the nonlinear system tracking design based on the Dynamic Equilibrium state theory
Chinese Control Conference, 2006Co-Authors: Li Wang, Qinglin WangAbstract:The nonlinear system design technique based on the Dynamic Equilibrium state theory is a new design technique based on the concept of the asymptotically stability of the control system Dynamic Equilibrium state. It first designs a referenced system according to a given performance, then takes the state of the referenced system as the Dynamic Equilibrium state of the original control system, designs a control law to make the system state move to its Dynamic Equilibrium in a scheduled way. When this method is applied in the design of nonlinear tracking, the design process is straightforward and the simulation result is right, and the meanings of the Dynamic Equilibrium state can be deeply understood.
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The analysis of the Dynamic Equilibrium in nonlinear control system
IEEE Conference on Cybernetics and Intelligent Systems 2004., 2004Co-Authors: Li Wang, Qinglin WangAbstract:This paper discusses not a point of Equilibrium to free system, but a certain family of Equilibrium of nonlinear Dynamical system with inputs. This Equilibrium depends on the input, so it is called the Dynamic Equilibrium. The expression of the Dynamic Equilibrium is given under some certain condition. The stability property of the Dynamic Equilibrium depends also on the input, and it is discussed in systems with slowly varying input by two methods. We suggest some applications of this theory in the design of the nonlinear control system, address the direct method of feedback linearization based on the Dynamic Equilibrium state theory and the backstepping technique based on the Dynamic Equilibrium state theory
Peter Goodwin - One of the best experts on this subject based on the ideXlab platform.
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Identifying Dynamic Equilibrium of an undeveloped alluvial stream by extremal hypotheses
CATENA, 2020Co-Authors: Andrew W. Tranmer, Diego Caamaño, Peter GoodwinAbstract:Abstract The indeterminate channel problem arises from uncertainty in finding a closure relation for alluvial channels created by self-organizing erosional and depositional processes. Extremal hypotheses have been proposed as one potential approach to closing the system of governing equations for alluvial channels. Many different extremal hypotheses have been presented, but no substantive evidence has been developed to select which hypothesis may be most appropriate for natural alluvial river systems. This paper evaluates the ability of ten extremal hypotheses to identify Dynamic Equilibrium across a geomorphic gradient in the remote and undeveloped mid-latitude watershed of Rio Murta, Chile. This study (a) introduces extremal hypotheses, (b) describes the field site and geomorphic conditions, and (c) examines which extremal hypotheses are supported by the field data in identifying the evolutionary trend toward Dynamic-Equilibrium. The extremal hypotheses that identified Dynamic Equilibrium within the geomorphic gradient in the field are: (1) minimum kinetic energy, (2) minimum specific stream power, (3) maximum friction factor, and (4) maximum total friction factor, which collectively support minimizing kinetic energy of the system.
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Floodplain persistence and Dynamic-Equilibrium conditions in a canyon environment
Geomorphology, 2015Co-Authors: Andrew W. Tranmer, Daniele Tonina, Rohan Benjankar, Matthew G. Tiedemann, Peter GoodwinAbstract:Abstract Canyon river systems are laterally constrained by steep walls, strath terraces, and bedrock intrusions; however, semialluvial reaches are nested within these environments as discontinuous floodplains along the river margins. These semialluvial floodplains provide an example of Dynamic-Equilibrium set within high-energy fluvial systems, marking areas where the river is free to alter its boundary conditions. Most research has focused on hydraulic conditions necessary for floodplain formation and persistence in unconfined systems, whereas little is known about canyon streams. This paper focuses on (1) characterizing Dynamic-Equilibrium, (2) describing the controls on floodplain formation and distribution, and (3) evaluating the performance of extremal hypotheses to identify Dynamic-Equilibrium and floodplain persistence in high-energy, semiconfined canyon environments. These objectives were addressed with field and numerical data derived from a one-dimensional hydraulic model for bankfull and 100-year return interval flood events, supported by closely spaced cross sections for the lower 38-km canyon reach of the Deadwood River (Idaho). Under bankfull conditions, critical energy thresholds for Equilibrium floodplain persistence at this study site present the upper limits of: slope = 0.018, shear stress = 175 N/m 2 , and specific stream power = 400 W/m 2 . Channel and floodplains near Equilibrium, quantified with a near-zero sediment transport divergence (Exner equation), were successfully identified by the minimum unit stream power extremal hypothesis and to a lesser degree by the other extremal hypotheses that minimize energy expenditure (minimum specific stream power, minimum total stream power, and minimum Froude number), provided backwater environments and major tributaries could be identified. Extremal results were compared to hydraulic geometry relations to evaluate how closely Equilibrium floodplains approached values for unconfined alluvial river systems.
Chang-new Chen - One of the best experts on this subject based on the ideXlab platform.
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A derivation and solution of Dynamic Equilibrium equations of shear undeformable composite anisotropic beams using the DQEM
Applied Mathematical Modelling, 2002Co-Authors: Chang-new ChenAbstract:Abstract In this paper, Hamilton's principle is used to derive the Dynamic Equilibrium equations of composite nonprismatic beams made of anisotropic materials. The effects of transverse shear deformations are neglected. The displacements are defined on an arbitrarily selected coordinate system. For Hamilton's principle, the Dynamic behavior of nonprismatic beams is characterized by two energy functions: a kinetic energy and a potential energy. The formulation uses the procedure of variational operations. The obtained Dynamic Equilibrium equations and natural boundary conditions are strongly coupled. They can be solved by the differential quadrature element method (DQEM).
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Dynamic Equilibrium EQUATIONS OF NON-PRISMATIC BEAMS DEFINED ON AN ARBITRARILY SELECTED CO-ÒRDINATE SYSTEM
Journal of Sound and Vibration, 2000Co-Authors: Chang-new ChenAbstract:In this paper, Hamilton's principle is used to derive the Dynamic Equilibrium equations of beams of generic section. The displacements are defined on an arbitrarily selected co-ordinate system. For Hamilton's principle, the Dynamic behavior of non-prismatic beams is characterized by two energy functions: a kinetic energy and a potential energy. The formulation uses the procedure of variational operations. The Dynamic Equilibrium equations and natural boundary conditions obtained are strongly coupled.
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Dynamic Equilibrium equations of composite anisotropic beams considering the effects of transverse shear deformations and structural damping
Composite Structures, 2000Co-Authors: Chang-new ChenAbstract:In this paper, Hamilton's principle is used to derive the Dynamic Equilibrium equations of composite nonprismatic beams made of anisotropic materials. The effects of transverse shear deformations and structural damping are considered. The displacements are defined on an arbitrarily selected coordinate system. For Hamilton's principle, the Dynamic behavior of nonprismatic beams is characterized by two energy functions: a kinetic energy and a potential energy. The formulation uses the procedure of variational operations. The obtained Dynamic Equilibrium equations and natural boundary conditions are highly coupled.
Marc Deschamps - One of the best experts on this subject based on the ideXlab platform.
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Dynamic Equilibrium with Randomly Arriving Players
Dynamic Games and Applications, 2020Co-Authors: Pierre Bernhard, Marc DeschampsAbstract:There are real strategic situations where nobody knows ex ante how many players there will be in the game at each step. Assuming that entry and exit could be modeled by random processes whose probability laws are common knowledge, we use Dynamic programming and piecewise deterministic Markov decision processes to investigate such games. We study these games in discrete and continuous time for both finite and infinite horizon. While existence of Dynamic Equilibrium in discrete time is proved, our main aim is to develop algorithms. In the general nonlinear case, the equations provided are rather intricate. We develop more explicit algorithms for both discrete and continuous time linear quadratic problems.
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Dynamic Equilibrium in games with randomly arriving players
2016Co-Authors: Pierre Bernhard, Marc DeschampsAbstract:There are real strategic situations where nobody knows ex ante how many players there will be in the game at each step. Assuming that entry and exit could be modelized by random processes whose probability laws are common knowledge, we use Dynamic programming and piecewise deterministic Markov decision processes to investigate such games. We study the Dynamic Equilibrium in games with randomly arriving players in discrete and continuous time for both finite and infinite horizon. Existence of Dynamic Equilibrium in discrete time is proved and we develop explicit algorithms for both discrete and continuous time linear quadratic problems. In both cases we offer a resolution for a Cournot oligopoly with sticky prices.
