Adaptive fuzzy output-feedback fault-tolerant tracking control of a class of uncertain nonlinear switched systems

ABSTRACT

This paper considers the output-feedback fault-tolerant tracking control problem for a class of uncertain nonlinear switched systems with nonlinear faults and strict-feedback form, where the faults which are nonaffine occur on the actuator. As a kind of specialised function approximating tool, fuzzy logic systems (FLSs), are employed to approximate the unknown smooth nonlinear functions. A switched fuzzy observer is designed to address the problem of unmeasurable states, filtered signals are used to address algebraic loop problem and the average dwell time (ADT) method is further utilised to prove the stability of the resulting closed-loop systems under a type of slowly switching signals. Based on the backstepping recursive design technique and Lyapunov function method, an adaptive fuzzy output-feedback control scheme is developed. The developed control method can ensure all the signals are semi-globally uniformly ultimately bounded (SGUUB) and the system output tracks the reference signal tightly even if unknown fault occurs. A simulation carried on an example demonstrates the validity of the obtained control scheme.

KEYWORDS:

• Adaptive fuzzy control
• fault-tolerant
• switched nonlinear systems
• average dwell time
• fuzzy logic systems

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Ben Niu http://orcid.org/0000-0002-3680-5594

Additional information

Funding

This work was partially supported by the National Natural Science Foundation of China [grant number 61304054], the Program for Liaoning Provincial Excellent Talents in University, China [grant number LJQ2014122], the China Postdoctoral Science Foundation [grant number 2015M581333], the Program for Doctoral Scientific Research Starting Foundation of Liaoning Province, China [grant number 20141139], and the Program for EducationalCommission of Liaoning Province, China [grant number L2014443].