Robust control of uncertain time-delay systems:  a minimax optimal approach

S. O.Reza Moheimani; Andrey V. Savkin; Ian R. Petersen

doi:10.1109/CDC.1996.572698

Robust control of uncertain time-delay systems: a minimax optimal approach

S. O.Reza Moheimani^*
, Andrey V. Savkin
, Ian R. Petersen

^*Corresponding author for this work

Research output: Contribution to conference › Paper › peer-review

2 Citations (Scopus)

Abstract

This paper considers a problem of robust controller design for a class of uncertain time-delay systems. The uncertainty is assumed to satisfy a certain integral quadratic constraint. This description of uncertainty allows for time-delays to be considered as uncertainty as well. The state feedback controller is a minimax optimal controller in the sense that it minimizes the maximum value of a corresponding linear quadratic cost function over all admissible uncertainties. The controller absolutely stabilizes the closed loop uncertain system and is constructed by solving a finite dimensional parameter dependent algebraic Riccati equation.

Original language	English
Pages	1362-1367
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.1996.572698
Publication status	Published - 1996
Externally published	Yes
Event	Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn Duration: 11 Dec 1996 → 13 Dec 1996

Conference

Conference	Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)
City	Kobe, Jpn
Period	11/12/96 → 13/12/96

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10.1109/CDC.1996.572698

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abstract = "This paper considers a problem of robust controller design for a class of uncertain time-delay systems. The uncertainty is assumed to satisfy a certain integral quadratic constraint. This description of uncertainty allows for time-delays to be considered as uncertainty as well. The state feedback controller is a minimax optimal controller in the sense that it minimizes the maximum value of a corresponding linear quadratic cost function over all admissible uncertainties. The controller absolutely stabilizes the closed loop uncertain system and is constructed by solving a finite dimensional parameter dependent algebraic Riccati equation.",

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AU - Savkin, Andrey V.

AU - Petersen, Ian R.

PY - 1996

Y1 - 1996

N2 - This paper considers a problem of robust controller design for a class of uncertain time-delay systems. The uncertainty is assumed to satisfy a certain integral quadratic constraint. This description of uncertainty allows for time-delays to be considered as uncertainty as well. The state feedback controller is a minimax optimal controller in the sense that it minimizes the maximum value of a corresponding linear quadratic cost function over all admissible uncertainties. The controller absolutely stabilizes the closed loop uncertain system and is constructed by solving a finite dimensional parameter dependent algebraic Riccati equation.

AB - This paper considers a problem of robust controller design for a class of uncertain time-delay systems. The uncertainty is assumed to satisfy a certain integral quadratic constraint. This description of uncertainty allows for time-delays to be considered as uncertainty as well. The state feedback controller is a minimax optimal controller in the sense that it minimizes the maximum value of a corresponding linear quadratic cost function over all admissible uncertainties. The controller absolutely stabilizes the closed loop uncertain system and is constructed by solving a finite dimensional parameter dependent algebraic Riccati equation.

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Y2 - 11 December 1996 through 13 December 1996

ER -

Robust control of uncertain time-delay systems: a minimax optimal approach

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