Sampled-Data H∞ Dynamic Output Feedback Controller Design for Fuzzy Markovian Jump Systems

• Published in: Journal of systems science and complexity Vol. 36; no. 1; pp. 239 - 256
• Main Authors: Lin, Yuqian, Zhuang, Guangming, Xia, Jianwei, Chen, Guoliang, Lu, Junwei
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2023; Springer Nature B.V
• Subjects: Closed loops; Complex Systems; Control; Control systems design; Dynamic stability; Feedback control; Fuzzy control; Fuzzy systems; H-infinity control; Mathematics; Mathematics and Statistics; Mathematics of Computing; Matrix methods; Operations Research/Decision Theory; Output feedback; Performance indices; Robot arms; Sampling; Statistics; Systems Theory; Upper bounds; Dynamic output feedback control; stochastic stability; control; fuzzy Markovian jump systems; sampled-data control
• ISSN: 1009-6124; 1559-7067
• DOI: 10.1007/s11424-022-1196-3

This paper considers the issue of H ∞ dynamic output feedback controller design for T-S fuzzy Markovian jump systems under time-varying sampling with known upper bound on the sampling intervals. The main aim is to realize sampled-data fuzzy dynamic output feedback control so as to demonstrate the stochastic stability and H ∞ performance index of the closed-loop sampled-data fuzzy Markovian jump systems. Then, by making the most of the information within the sampling interval, a suitable closed-loop function is constructed and the integral terms are handled by using free weighted matrix method and improved integral inequality technique. Numerical example and single-link robot arm are presented to show the effectiveness of the developed method.