Conference Proceeding

Delay-dependent robust stabilization for uncertain time-delay systems with saturating actuators-LMI approach

Dept. of Electron. Eng., Nat. Kaohsiung Univ. of Appl. Sci., Taiwan
Proceedings of the American Control Conference 02/2002; 4:3357 - 3358 vol.4. DOI:10.1109/ACC.2002.1025311 ISBN: 0-7803-7298-0 In proceeding of: American Control Conference, 2002. Proceedings of the 2002, Volume: 4
Source: IEEE Xplore

ABSTRACT This paper provides new stabilization criteria for a class of uncertain linear time-delay systems with saturating actuators for time-varying delays. Based on Lyapunov-Krasovskii functionals combined with LMI techniques, simple and improved delay-dependent robust stability criteria, which are given in terms of quadratic forms of state and LMI, are derived. The proposed results are applicable to robust control design.

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    ABSTRACT: This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.
    Int. J. Appl. Math. Comput. Sci. 01/2005; 15:45-51.
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    ABSTRACT: This paper discusses the problems of the delay-dependent robust stability and stabilization for a class of linear time-delay uncertain systems with saturating actuators. Some new delay-dependent stability criteria are derived by taking the relationships between the terms in the Leibniz–Newton formula into account. The stability conditions are formulated as linear matrix inequalities that can be easily solved by various convex optimization algorithms or computing software. Moreover, the stability criteria are extended to the design of a stabilizing state feedback controller. Numerical examples demonstrate that these criteria are effective and are an improvement on previous ones.
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