Adaptive control for a class of SISO nonlinear time-varying delay systems with unknown gain signs

Authors:
Qian Hou-Bin;Zhang Tian-Ping
Affiliations:
College of Information Engineering, Yangzhou University, Yangzhou, China and Coll. of Journalism & Communication, Yangzhou University, Yangzhou, China;Coll. of Journalism & Communication, Yangzhou University, Yangzhou, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

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Abstract

A design scheme of adaptive neural controller for a class of uncertain SISO nonlinear time-varying delay systems with unknown nonlinear dead-zones and unknown function control gain is proposed. The design is based on the principle of sliding mode control and property of Nussbaum-type functions. The approach relaxes the hypothesis that the upper bound of function control gain is unknown constant and the supposition further broadness to unknown function. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. By theoretical analysis, the closed-loop control systems is proved to be semi-globally uniformly ultimately bounded. Simulation results demonstrate the effectiveness of the approach.