Robust H_∞ Control for Uncertain Nonlinear Stochastic Systems with Delayed State and Control

Abstract:

This paper considers the issue of robust H_∞ control for a class of nonlinear uncertain systems with delayed states and control, and the feedback controller is designed. By constructing proper Lyapunov-krasovskii function, the resulting closed-loop system is stochastically stable for all admissible uncertainties, time-delays and nonlinearities, and satisfies a prescribed H_∞ performance. Sufficient conditions for the system to be robustly stochastically asymptotically stable are derived, by using linear matrix inequalities and Lyapunov-krasovskii stability theory. The feedback controller is obtained by solving the linear matrix inequalities. Numerical example is provided to show the validity of the proposed approaches.

• Periodical: Applied Mechanics and Materials (Volumes 58-60)
• Pages: 685-690
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.58-60.685
• Online since: June 2011
• Authors: Cheng Wang, Yun Xu
• Keywords: H_∞ Control, Linear Matrix Inequality (LMI), Nonlinear, Stochastic Time-Delay Systems

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