A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control

Authors:
Shao-Cheng Tong;Xiang-Lei He;Hua-Guang Zhang
Affiliations:
Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, China;Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, China;College of Information Science and Engineering, Northeastern University, Shenyang, China
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2009

Citing 26
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Abstract

In this paper, an adaptive fuzzy output feedback control approach is proposed for single-input-single-output nonlinear systems without the measurements of the states. The nonlinear systems addressed in this paper are assumed to possess unmodeled dynamics in the presence of unstructured uncertainties and dynamic disturbances, where the unstructured uncertainties are not linearly parameterized, and no prior knowledge of their bounds are available. Fuzzy logic systems are used to approximate the unstructured uncertainties, and a state observer is developed to estimate the unmeasured states. By combining the backstepping technique with the small-gain approach, a stable adaptive fuzzy output feedback control method is proposed. It is shown that by applying the proposed adaptive fuzzy control approach, the closed-loop systems are semiglobally uniformly ultimately bounded. The effectiveness of the proposed approach is illustrated from simulation results.