Fuzzy adaptive high-gain-based observer backstepping control for SISO nonlinear systems with dynamical uncertainties |
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Authors: | Chang’e Ren Shaocheng Tong Yongming Li |
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Institution: | 1. Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou, 121001, China
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Abstract: | In this paper, a fuzzy adaptive output feedback control approach is developed for a class of SISO strict-feedback nonlinear
systems with unmeasured states, unmodeled dynamics, and dynamical disturbances. In the backstepping recursive design, fuzzy
logic systems are used to approximate the unknown nonlinear functions, a fuzzy adaptive high-gain observer is designed to
estimate the unmeasured states; a dynamic signal is incorporated into the control scheme to dominate the dynamic uncertainties.
Using the states estimates and combining the backstepping design technique, a fuzzy adaptive output feedback control is constructed
recursively. It is proved that the proposed fuzzy adaptive output feedback control scheme can guarantee the all signals in
the closed-loop system are semiglobally uniformly ultimately bounded (SUUB), and the observer and tracking error converges
to a small neighborhood of the origin. The effectiveness of the proposed approach is illustrated via an example. |
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