Fuzzy approximate disturbance decoupling of MIMO nonlinear systems by backstepping approach

Authors:
Bing Chen;Shaocheng Tong;Xiaoping Liu
Affiliations:
Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China;Department of Basic Mathematics, Liaoning Institute of Technology, Jinzhou 121003, PR China;Department of Electrical Engineering, Lakehead University, Thunder Bay, Ont., Canada P7B 5E1
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

The concept of fuzzy approximate disturbance decoupling is introduced for a class of MIMO nonlinear systems with unknown nonlinearities. Based on the backstepping technique, a direct adaptive fuzzy almost disturbance decoupling control scheme is proposed. The proposed fuzzy controllers guarantee internal uniform ultimate boundedness of the closed-loop adaptive systems and render a bounded approximate L"2 gain from the disturbance input to the output. The main characteristics of the proposed algorithm is that the adaptive fuzzy controllers have a simple structure, and less adaptive parameters than the existing results. At last, the developed design scheme is applied to control a two continuous stirred tank reactor process. The simulation results illustrate the effectiveness of the method proposed in this paper.