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Delay-dependent robust H control of nonlinear uncertain time-delay systems

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3 Author(s)
Wang, Miaoxin ; Department of Automation, North China Electric Power University, Beijing, 102206, China ; Liu, Jizhen ; Liu, Juncheng

Delay-dependent robust H controller design problem for time-delay systems with a class of nonlinear uncertainties is discussed in the paper. Assuming that the nonlinear uncertain functions in the considered model are gain-bounded, we obtain a sufficient condition for the robustly asymptotic stability and H performance of the closed-loop system in the light of Lyapunov stability theory. By solving a linear matrix inequality (LMI), we construct state feedback control law which guarantees the robustly asymptotic stability of the closed-loop system and reduce the effect of the disturbance input on the controlled output to a prescribed level. The delay-bound or the H performance bound can be optimized. A numerical example illustrates the potentiality of our claim.

Published in:

Control and Automation (ICCA), 2010 8th IEEE International Conference on

Date of Conference:

9-11 June 2010

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