Actuator saturation control of continuous-time positive switched T–S fuzzy systems. Issue 17 (November 2021)

• Record Type: Journal Article
• Authors: Yang, Gengjiao; Hao, Fei; Zhang, Lin; Li, Bohu
• Is Part Of: Journal of the Franklin Institute. Volume 358:Issue 17(2021)
• Page Start: 8862
• Page End: 8885
• Publication Date: 2021-11
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2021.09.001
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: The saturated control problem is investigated for positive switched Takagi–Sugeno (T–S) fuzzy systems with partially controllable subsystems in this paper. Based on the parallel distribution compensation (PDC) algorithm and the convex hull technology, new fuzzy control schemes are proposed for continuous-time positive switched T–S fuzzy systems (PSTSFSs) with actuator saturation. By the multiple linear co-positive Lyapunov function and the slow-fast combined mode-dependent average dwell time (MDADT) approach, sufficient conditions for the stability of continuous-time closed-loop PSTSFSs are developed, which is an extension of the results in previous literature. Furthermore, the least conservative estimation of the attraction domain of PSTSFSs is transformed into an optimization problem. Finally, three simulation examples are given to illustrate the effectiveness of the proposed saturated control schemes.