Adaptive Fuzzy Control Design for Stochastic Nonlinear Switched Systems With Arbitrary Switchings and Unmodeled Dynamics

• Published in: IEEE transactions on cybernetics Vol. 47; no. 2; pp. 403 - 414
• Main Authors: Li, Yongming, Sui, Shuai, Tong, Shaocheng
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.02.2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Adaptive fuzzy control; Adaptive systems; Backstepping; Control stability; Dynamical systems; Feedback control; Fuzzy control; Fuzzy logic; Fuzzy systems; Nonlinear control; Nonlinear dynamical systems; Nonlinear systems; Output feedback; output feedback control; small gain approach; State observers; switched nonlinear systems; Switches; unmodeled dynamics
• ISSN: 2168-2267; 2168-2275
• DOI: 10.1109/TCYB.2016.2518300

This paper deals with the problem of adaptive fuzzy output feedback control for a class of stochastic nonlinear switched systems. The controlled system in this paper possesses unmeasured states, completely unknown nonlinear system functions, unmodeled dynamics, and arbitrary switchings. A state observer which does not depend on the switching signal is constructed to tackle the unmeasured states. Fuzzy logic systems are employed to identify the completely unknown nonlinear system functions. Based on the common Lyapunov stability theory and stochastic small-gain theorem, a new robust adaptive fuzzy backstepping stabilization control strategy is developed. The stability of the closed-loop system on input-state-practically stable in probability is proved. The simulation results are given to verify the efficiency of the proposed fuzzy adaptive control scheme.