An adaptive controller design for uncertain stochastic systems

Authors:
Xijun Zhu;Yueming Dai;Zhang Rui
Affiliations:
College of Science and Technology, Qingdao University of Science and Technology, Qingdao, China;College of Science, Qingdao Technological University, Qingdao, China;College of Science, Qingdao Technological University, Qingdao, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

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Abstract

In this paper, we consider the problem of adaptive H∞ control for stochastic systems with parameter uncertainties, time delay and unknown nonlinear perturbations. The unknown nonlinear perturbations are norm-bounded and the gains are unknown while there is adaptive parameter in the adjustable output. Using linear matrix inequality and Lyapunov-Krassovskii approaches, the designed controller not only can stabilize the controlled system, but also guarantee H∞ properties to be presented. For dealing with adaptive parameter in the adjustable output, a new adaptive law is proposed.