Adaptive fuzzy tracking control of nonlinear MIMO systems with time-varying delays

Authors:
Bing Chen;Xiaoping Liu;Kefu Liu;Chong Lin
Affiliations:
Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China;Faculty of Engineering, Lakehead University, Thunder Bay, On, Canada P7B 5E1;Faculty of Engineering, Lakehead University, Thunder Bay, On, Canada P7B 5E1;Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China
Venue:
Fuzzy Sets and Systems
Year:
2013

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Abstract

This paper focuses on the problem of adaptive fuzzy tracking control for a class of nonlinear multi-input and multi-output (MIMO) time-delay systems in strict-feedback form. The time delays in the systems may be time-varying. Based on Razumikhin functional method, the state feedback adaptive fuzzy tracking controllers are constructed via backstepping technique. The proposed adaptive fuzzy controllers guarantee that all the signals in the closed-loop system are bounded and the system's outputs converge to a small neighborhood of the reference signals. Three examples are used to illustrate the effectiveness of the proposed approach.