Technical communique: Robust controller design of a class of nonlinear time delay systems via backstepping method

Authors:
Changchun Hua;Gang Feng;Xinping Guan
Affiliations:
Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China;Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

The robust control problem is investigated for nonlinear time delay systems with triangular structure. The uncertain delay disturbances are bounded by nonlinear functions with unknown coefficients. Via the backstepping method, we construct a state feedback controller with the help of Razumikhin lemma. Based on Lyapunov stability theory, we show that the resulting closed-loop system is UUB stable.