Observer-Based Adaptive Fuzzy Backstepping Output Feedback Control of Uncertain MIMO Pure-Feedback Nonlinear Systems

This paper is concerned with the problem of adaptive fuzzy tracking control for a class of uncertain multiple-input-multiple-output (MIMO) pure-feedback nonlinear systems with immeasurable states. The dynamic output feedback strategy begins with a state observer. Fuzzy logic systems are utilized to...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2012-08, Vol.20 (4), p.771-785
Main Authors: Tong, Shaocheng, Li, Yongming, Shi, Peng
Format: Article
Language:English
Subjects:
Adaptive control systems
Adaptive output feedback control
Adaptive systems
Backstepping
backstepping design
Control systems
Dynamical systems
Fuzzy
Fuzzy logic
fuzzy logic systems (FLSs)
Fuzzy set theory
MIMO
Nonlinear dynamics
nonlinear multiple-input-multiple-output (MIMO) systems
Nonlinear systems
Observers
Output feedback
state observer
Studies
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Summary:This paper is concerned with the problem of adaptive fuzzy tracking control for a class of uncertain multiple-input-multiple-output (MIMO) pure-feedback nonlinear systems with immeasurable states. The dynamic output feedback strategy begins with a state observer. Fuzzy logic systems are utilized to approximate the unknown nonlinear functions. The filtered signals are introduced to circumvent algebraic loop problem encountered in the implementation of the controller, and an adaptive fuzzy output feedback is obtained via a backstepping recursive design technique. It is shown that the proposed control law can guarantee that all the signals of the resulting closed-loop system are semiglobally uniformly ultimately bounded and that the observer and tracking errors converge to a small neighborhood of the origin. Simulation studies are included to illustrate the effectiveness and potentials of the proposed techniques.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2012.2183604