Brief paper: Robust controller design for uncertain multiple-delay systems with unknown actuator parameters

Authors:
Chang-Chun Hua;Steven X. Ding;Xin-Ping Guan
Affiliations:
State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China and Institute of Electrical Engineering, Yanshan University, ...;Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, 47057, Germany;Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China and Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China
Venue:
Automatica (Journal of IFAC)
Year:
2012

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Abstract

This paper considers the controller design problem for a class of uncertain systems with unknown actuator parameters. The considered systems are with multiple time delays and nonlinear uncertainties, and the uncertain nonlinearities are bounded by nonlinear functions with unknown coefficients. The actuator parameters are time-varying and their bounds are unknown, moreover the signs of them are not available. To deal with unknown actuator parameters problem, we decompose the system into two subsystems. For the resultant system, we develop the corresponding tolerant controller design method with the help of Nussbaum function. By constructing the Lyapunov Krasovskii functional, we prove the asymptotical stability of the closed-loop system. Finally, simulations are performed on a chemical reactor system to show the effectiveness of the proposed method.