Observer-based adaptive fuzzy backstepping control of MIMO stochastic nonlinear strict-feedback systems |
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Authors: | Yue Li Shaocheng Tong Yongming Li |
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Institution: | 1.Department of Basic Mathematics,Liaoning University of Technology,Jinzhou,China |
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Abstract: | In this paper, an adaptive fuzzy output feedback control approach is proposed for a class of multiinput and multioutput (MIMO)
uncertain stochastic nonlinear strict-feedback systems without the measurements of the states. The fuzzy logic systems are
used to approximate the unknown nonlinear functions, and a fuzzy state observer is designed for estimating the unmeasured
states. Utilizing the designed the fuzzy state observer and by combining the adaptive backstepping control design, an adaptive
fuzzy output feedback control approach is developed. It is proved that the proposed control approach can guarantee that all
the signals of the closed-loop system are semiglobally uniformly ultimately bounded (SUUB) in probability, and the observer
errors and the output of the system converge to a small neighborhood of the origin by appropriate choice of the design parameters.
A simulation example is provided to show the effectiveness of the proposed approach. |
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Keywords: | |
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