Bumpless Transfer Control for Switched Fuzzy Systems With [Formula Omitted]-Gain Property

• Published in: IEEE transactions on fuzzy systems Vol. 27; no. 10; p. 2039
• Main Authors: Zhao, Ying, Zhao, Jun, Fu, Jun
• Format: Journal Article
• Language: English
• Published: New York The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 01.10.2019
• Subjects: Control systems; Damping; Fuzzy control; Fuzzy systems; Inequalities; Liapunov functions; Subsystems
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2019.2893303

This paper concentrates on the bumpless transfer control problem for a category of switched fuzzy systems with [Formula Omitted]-gain property. A description of the bumpless transfer performance for switched fuzzy systems is introduced for the first time. A general multiple Lyapunov functions strategy is exploited to solve the bumpless transfer control problem of the switched fuzzy systems with the [Formula Omitted]-gain property. The multiple Lyapunov functions scheme allows the disconnection of the successive Lyapunov functions when a switching happens. A criterion on the bumpless transfer performance with the [Formula Omitted]-gain property is established, allowing each subsystem to satisfy neither the bumpless transfer performance nor the [Formula Omitted]-gain property. Moreover, when only the [Formula Omitted]-gain property is considered, the condition is mildly expressed in terms of matrix inequalities rather than the usual combination of matrix inequalities and matrix equalities. Finally, an example of controlling a mass-spring-damping model is offered to validate the effectiveness of the developed control strategy.