Robust Control of Time Delay Systems

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Author Index
A B C D E F G H I
J K L M N O P Q R
S T U V W X Y Z

Robust Stability and Performance of Uncertain Delay Systems with Structured Uncertainties

Authors:

Yun-Ping Huang, Kemin Zhou,

Volume: 1, Page 1509 Paper number 2106

Abstract:

The paper considers the robust stability and robust performance of uncertain delay systems subject to possibly structured uncertainties using structured singular values with phase information. Computationally efficient sufficient conditions for robust stability and performance problem are derived.

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Robust H_(infinity) Control of Singular Continuous-Time Systems with Delays and Uncertainties

Authors:

Peng Shi, El-Kébir Boukas, Ramesh K. Agarwal,

Volume: 1, Page 1515 Paper number 1796

Abstract:

In this paper we study the problem of H_(infinity) control of singular linear continuous-time systems with parametric uncertainty. The system under consideration is subjected to time-delay in both state and control, and norm-bounded parametric uncertainty entering all matrices of the system and output equations. First, the problem of robust stabilization of the underlying system is investigated. Next, we address the problem of robust H_(infinity) state feedback control in which both robust stability and a prescribed H_(infinity) performance are required to be achieved irrespective of the uncertainty and time-delay. It is shown that the above control problem can be solved if a Riccati-like inequality has a symmetric positive definite solution.

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Delay-Dependent Robust Stability and H-Infinity Control of Jump Linear Systems with Time-Delays

Authors:

El-Kébir Boukas, Z.K. Liu, G.X. Liu,

Volume: 1, Page 1521 Paper number 1336

Abstract:

This paper considers the class of continuous-time jump linear system with time-delay and polytopic uncertain parameters. When the time-delay is a known constant, by using the linear matrix inequality (LMI) technique, we first establish delay dependent sufficient condition for robust stability and robust H_(infinity) control of the class of systems under study. The problem of determining the maximum time-delay under which the system will remain stable is cast into a generalized eigenvalue problem and thus solved by LMI techniques. When the control input contains time-delay, an algorithm to design state feedback controller with constant gain matrix is developed.

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Robust Stability and H-Infinity Control of Discrete-Time Jump Linear Systems with Time-Delay: An LMI Approach

Authors:

El-Kébir Boukas, Z.K. Liu,

Volume: 1, Page 1527 Paper number 9303

Abstract:

This paper considers the class of discrete-time jump linear system with time-delay and polytopic uncertain parameters. The problems of delay-independent robust stability, stabilization and H_(infinity) control are cast into the framework of linear matrix inequality (LMI) and thus solved by LMI Toolbox of Matlab. By using the supplementary technique, the system with time-delay is converted into a higher dimension Markov system without time-delay, and thus can be handled as a standard jump linear system with uncertain parameters.

CD009303.PDF (From Author)

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Robustness of Stability Under Delay Perturbations in Linear Time Delay Systems

Authors:

Janos Turi,

Volume: 1, Page 1533 Paper number 9706

Abstract:

Abstract: We consider the robustness of stability under delay perturbations in a class of linear delay systems and obtain an equation dependent norm bound on allowable perturbations. We apply this bound to get estimates on sampling intervals in the stabilization of hybrid systems with feedback delays.

CD009706.PDF (From Author)

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Robust Tracking Controllers of Uncertain Delay Systems

Authors:

Mao-Lin Ni, Meng Joo Er, William E. Leithead, Douglas J. Leith,

Volume: 1, Page 1539 Paper number 1255

Abstract:

A new procedure for determining robust tracking control laws for a class of linear uncertain time-delay systems is presented in this paper. The system is controlled to track a dynamic input generated from a reference model. In the case that the system uncertainties satisfy the generalized matching conditions, by using the proposed linear controller, the ultimate bound of the tracking error can be made arbitrarily small and, therefore, the system practically tracks the reference model. In the case of mismatched uncertainties, we present a sufficient condition such that the designed controller guarantees ultimate boundedness of the tracking error. Compared with the existing results, our approach admits much larger system uncertainties in the control matrix. Numerical examples also show that the resultant linear robust tracking controllers are less conservative.

CD001255.PDF (From Author)

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