Design of performance robustness for uncertain linear systems with state and control delays

J.S. Luo; P.P.J. Bosch, van den; S. Weiland; A. Goldenberge

doi:10.1109/9.728876

Design of performance robustness for uncertain linear systems with state and control delays

J.S. Luo, P.P.J. Bosch, van den, S. Weiland, A. Goldenberge

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Abstract

The linear systems considered in this paper are subject to uncertain perturbations of norm-bounded time-varying parameters and multiple time delays in system state and control. The time delays are uncertain, independent of each other, and allowed to be time-varying. The integral quadratic cost criterion is employed to measure system performance. Using solutions of Lyapunov and Riccati equations, a linear state feedback control law is proposed to stabilize the perturbed system and to guarantee an upper bound of system performance, which is applicable to arbitrary time delays

Original language	English
Pages (from-to)	1593-1596
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	43
Issue number	11
DOIs	https://doi.org/10.1109/9.728876
Publication status	Published - 1998

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title = "Design of performance robustness for uncertain linear systems with state and control delays",

abstract = "The linear systems considered in this paper are subject to uncertain perturbations of norm-bounded time-varying parameters and multiple time delays in system state and control. The time delays are uncertain, independent of each other, and allowed to be time-varying. The integral quadratic cost criterion is employed to measure system performance. Using solutions of Lyapunov and Riccati equations, a linear state feedback control law is proposed to stabilize the perturbed system and to guarantee an upper bound of system performance, which is applicable to arbitrary time delays",

author = "J.S. Luo and {Bosch, van den}, P.P.J. and S. Weiland and A. Goldenberge",

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AU - Luo, J.S.

AU - Bosch, van den, P.P.J.

AU - Weiland, S.

AU - Goldenberge, A.

PY - 1998

Y1 - 1998

N2 - The linear systems considered in this paper are subject to uncertain perturbations of norm-bounded time-varying parameters and multiple time delays in system state and control. The time delays are uncertain, independent of each other, and allowed to be time-varying. The integral quadratic cost criterion is employed to measure system performance. Using solutions of Lyapunov and Riccati equations, a linear state feedback control law is proposed to stabilize the perturbed system and to guarantee an upper bound of system performance, which is applicable to arbitrary time delays

AB - The linear systems considered in this paper are subject to uncertain perturbations of norm-bounded time-varying parameters and multiple time delays in system state and control. The time delays are uncertain, independent of each other, and allowed to be time-varying. The integral quadratic cost criterion is employed to measure system performance. Using solutions of Lyapunov and Riccati equations, a linear state feedback control law is proposed to stabilize the perturbed system and to guarantee an upper bound of system performance, which is applicable to arbitrary time delays

U2 - 10.1109/9.728876

DO - 10.1109/9.728876

M3 - Article

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EP - 1596

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 11

ER -

Design of performance robustness for uncertain linear systems with state and control delays

Abstract

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