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Disturbance rejection of multi-agent systems: A reinforcement learning differential game approach
Qiang Jiao;Hamidreza Modares;Shengyuan Xu;Frank L. Lewis;Kyriakos G. Vamvoudakis
Distributed tracking control of multi-agent linear systems in the presence of disturbances is considered in this paper. The given problem is first formulated into a multi-player zero-sum differential graphical game. It is shown that the solution to this problem requires solving the coupled Hamilton-Jacobi-Isaacs (HJI) equations. A multi-agent reinforcement learning algorithm is developed to find t...Show More
Delay-range-dependent robust H∞ control for uncertain discrete stochastic fuzzy time-delay systems via relaxed LMIs
2008 Chinese Control and Decision Conference
Year: 2008 | Conference Paper |
Through free-weighting matrix and relaxed LMI approach, this paper deals with the problem of robust Hinfin control for uncertain discrete stochastic fuzzy systems with interval time-varying delays. The uncertainties are time-varying but norm-bounded. The purpose is to design a state feedback fuzzy controller such that the resulting closed-loop system is not only robustly stochastically stable but ...Show More
A descriptor system approach to stabilization of fuzzy systems with state and input delays
2008 7th World Congress on Intelligent Control and Automation
Year: 2008 | Conference Paper |
Cited by: Papers (1)
The stabilization problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated. The time delays appear in both the state and the control input. A new descriptor model, which is equivalent to the resulting closed-loop system, is introduced. Based on this, some new delay-independent and delay-dependent conditions for the existence of state-feedbac...Show More
Delay-dependent robust control for uncertain discrete stochastic fuzzy systems via relaxed LMIs
2008 7th World Congress on Intelligent Control and Automation
Year: 2008 | Conference Paper |
A novel fuzzy sliding-mode structure has been proposed for Exend Kalman Filter(EKF) based sensorless control of an induction motor in this paper. The design includes a Extend Kalman Filter(EKF) from measured stator terminal voltages and currents. The estimated speed is used as feedback in an indirect vector control system achieving the speed control without using shaft mounted transducers. Fuzzy s...Show More
Delay-dependent robust control for uncertain discrete stochastic fuzzy systems via relaxed LMIs
2008 7th World Congress on Intelligent Control and Automation
Year: 2008 | Conference Paper |
This paper deals with the problem of robust control for uncertain discrete stochastic fuzzy systems with both state and input time-varying delays. The uncertainties are time-varying but norm-bounded. The purpose is to design a state feedback fuzzy controller such that the resulting closed-loop system is robustly stochastically stable. Based on Takagi-Sugeno (T-S) fuzzy model and relaxed LMI approa...Show More
Stability Analysis for Time-Delay Fuzzy Systems Using Augmented Lyapunov Functional Approach
First International Conference on Innovative Computing, Information and Control - Volume I (ICICIC'06)
Year: 2006 | Conference Paper |
Cited by: Papers (1)
This paper is concerned with the asymptotic stability of Takagi-Sugeno (T-S) fuzzy systems with state-delay. The state-of-the-art of delay-dependent stability analysis method is provided in terms of linear matrix inequalities (LMIs). The augmented Lyapunov functional method is used to establish delay-dependent criteria. Theoretical comparisons are done among the present and existing results. Illus...Show More
Guaranteed Cost Control for Uncertain Stochastic Systems with State and Input Delays
First International Conference on Innovative Computing, Information and Control - Volume I (ICICIC'06)
Year: 2006 | Conference Paper |
Cited by: Papers (1)
This paper deals with the problem of guaranteed cost control for uncertain stochastic systems with state and input-delays. Attention is focused on the design of a state feedback controller such that the resulting closed-loop system is mean-square asymptotically stable and guarantees that a given quadratic cost function has an upper bound. In terms of a linear matrix inequality (LMI), a sufficient ...Show More
Delay-dependent stability of 2D state-delayed linear systems
W. Paszke;J. Lam;K. Galkowski;Shengyuan Xu;E. Rogers;A. Kummert
2006 IEEE International Symposium on Circuits and Systems (ISCAS)
Year: 2006 | Conference Paper |
Cited by: Papers (6)
This paper addresses the problem of stability for two-dimensional systems with delays in the state. To solve this problem, the Lyapunov second method is used. The resulting condition is written in terms of linear matrix inequalities and it is dependent on the size of delays. This fact allows us to reduce the conservatism in the stability analysis of two-dimensional systems with state delays. A sim...Show More
Exponential dynamic output feedback controller design for stochastic neutral systems with distributed delays
This paper investigates the problem of stochastic stabilization for stochastic neutral systems with distributed delays. The time delay is assumed to appear in both the state and measurement equations. Attention is focused on the design of linear dynamic output feedback controllers such that the resulting closed-loop system is exponentially mean-square stable. A sufficient condition for the solvabi...Show More
A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks
In this paper, a new delay-dependent asymptotic stability condition for delayed Hopfield neural networks is given in terms of a linear matrix inequality, which is less conservative than existing ones in the literature. This condition guarantees the existence of a unique equilibrium point and its global asymptotic stability of a given delayed Hopfield neural network. Examples are provided to show t...Show More
Improved global robust asymptotic stability criteria for delayed cellular neural networks
This paper considers the problem of global robust stability analysis of delayed cellular neural networks (DCNNs) with norm-bounded parameter uncertainties. In terms of a linear matrix inequality, a new sufficient condition ensuring a nominal DCNN to have a unique equilibrium point which is globally asymptotically stable is proposed. This condition is shown to be a generalization and improvement ov...Show More
Control for stability and positivity: equivalent conditions and computation
This paper investigates the stabilizability of linear systems with closed-loop positivity. A necessary and sufficient condition for the existence of desired state-feedback controllers guaranteeing the resultant closed-loop system to be asymptotically stable and positive is obtained. Both continuous and discrete-time cases are considered, and all of the conditions are expressed as linear matrix ine...Show More
A delay-dependent approach to robust H/sub /spl infin// filtering for uncertain distributed delay systems
This paper is concerned with the problem of robust H/sub /spl infin// filtering for linear systems with both discrete and distributed delays, which are subject to norm-bounded time-varying parameter uncertainties. Both the state and measurement equations are assumed to have discrete and distributed delays. A delay-dependent condition for the existence of H/sub /spl infin// filters is proposed, whi...Show More
Novel global asymptotic stability criteria for delayed cellular neural networks
This brief provides improved conditions for the existence of a unique equilibrium point and its global asymptotic stability of cellular neural networks with time delay. Both delay-dependent and delay-independent conditions are obtained by using more general Lyapunov-Krasovskii functionals. These conditions are expressed in terms of linear matrix inequalities, which can be checked easily by recentl...Show More
Robust H/sub /spl infin// filtering for Uncertain2-D continuous systems
This paper considers the problem of robust H/sub /spl infin// filtering for uncertain two-dimensional (2-D) continuous systems described by the Roesser state-space model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The purpose is the design of a 2-D continuous filter such that for all admissible uncertainties, the error system is asymptot...Show More
Improved delay-dependent stability criteria for time-delay systems
This note provides an improved asymptotic stability condition for time-delay systems in terms of a strict linear matrix inequality. Unlike previous methods, the mathematical development avoids bounding certain cross terms which often leads to conservatism. When time-varying norm-bounded uncertainties appear in a delay system, an improved robust delay-dependent stability condition is also given. Ex...Show More
Robust H/sub /spl infin// control for uncertain discrete-time-delay fuzzy systems via output feedback controllers
This work investigates the problem of robust output feedback H/sub /spl infin// control for a class of uncertain discrete-time fuzzy systems with time delays. The state-space Takagi-Sugeno fuzzy model with time delays and norm-bounded parameter uncertainties is adopted. The purpose is the design of a full-order fuzzy dynamic output feedback controller which ensures the robust asymptotic stability ...Show More
Robust stabilization for stochastic time-delay systems with polytopic uncertainties
Shengyuan Xu;J. Lam;Yun Zou;Ningfan Zhong;Huijun Gao;Changhong Wang
ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.
Year: 2004 | Conference Paper |
This paper considers the problem of robust stabilization for stochastic time-delay systems with convex polytopic uncertainties. Sufficient conditions for the solvability of the problem are obtained by using parameter-independent and parameter-dependent Lyapunov functional, respectively. It is shown that the result derived by a parameter-dependent Lyapunov functional is less conservative. A desired...Show More
Recursive state estimation of 2-D GM models with unknown but bounded errors
ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.
Year: 2004 | Conference Paper |
A method is proposed for estimating states of 2-D GM models by using noisy observations in the case when the input to the dynamic system and the observation errors are unknown except for bounds on their magnitude or energy. The designed state estimator is composed of a set in state space rather than a single vector. It is shown that the optimal estimator is the smallest set, which contains the unk...Show More
Linear filters for discrete systems with uncertain measurements
ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.
Year: 2004 | Conference Paper |
This paper considers the problem of linear filtering with least mean-square errors by using covariance information in linear discrete-time stochastic systems with uncertain measurements. The state and observation noises are correlated noises and the state noises are not white. Recursive algorithms are proposed by employing the orthogonal projection lemma. The features of the designed filter are di...Show More
H/sub /spl infin// control for uncertain neutral systems via non-fragile state feedback controllers
ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.
Year: 2004 | Conference Paper |
This paper deals with the problem of non-fragile H/sub /spl infin// control for neutral systems with time-varying delays. The state feedback gains to be designed are subject to norm-bounded uncertainties. The purpose of the problem is the design of a state feedback controller such that the resulting closed-loop system is asymptotically stable while satisfying a prescribed H/sub /spl infin// perfor...Show More
Robust H/sub /spl infin// filtering for 2-D stochastic systems
Proceedings of the 2004 American Control Conference
Year: 2004 | Conference Paper |
This paper investigates the problem of H/sub /spl infin// filter design for 2-D stochastic systems. The stochastic perturbation is first introduced into the well-known Fornasini-Marchesini local state-space (FMLSS) model. Our attention is focused on the design of full-order and reduced-order filters, which guarantee the filtering error system to be mean-square asymptotically stable and has a presc...Show More
New positive realness conditions for uncertain discrete descriptor systems: analysis and synthesis
This paper deals with the problems of positive real (PR) analysis and PR control for uncertain discrete-time descriptor systems. The parameter uncertainties are assumed to be time-invariant norm bounded and appear in both the state and input matrices. A new necessary and sufficient condition for a discrete-time descriptor system to be regular, causal, stable and extended strictly PR (ESPR) is prop...Show More
An LMI approach to the H/sub /spl infin// filter design for uncertain systems with distributed delays
This paper investigates the problem of robust H/sub /spl infin// filter design for linear distributed delay systems with norm-bounded time-varying parameter uncertainties. The distributed delays are assumed to appear in both the state and measurement equations. The problem we address is the design of a filter, such that for all admissible uncertainties, the resulting error system is asymptotically...Show More
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