Hybrid-triggered control for fuzzy Markov jump systems under input saturation

• Published in: Nonlinear dynamics Vol. 108; no. 2; pp. 1409 - 1423
• Main Authors: Liang, Xingyue, Xia, Jianwei, Li, Yongmin, Lu, Junwei, Chu, Yuming
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.04.2022; Springer Nature B.V
• Subjects: Automation; Automotive Engineering; Classical Mechanics; Control; Controllers; Dynamical Systems; Efficiency; Engineering; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Mathematical analysis; Mechanical Engineering; Original Paper; Saturation; Transmission efficiency; Vibration; Hybrid-triggered control; Fuzzy Markov jump systems; Input saturation; 4. Dynamic stability; Lyapunov–Krasovskii functional; 16: System modeling and identification
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-022-07285-x

This article investigates the issue of hybrid-triggered control for fuzzy Markov jump system under input saturation. First, a hybrid-triggered control scheme is presented, which can improve network transmission efficiency and system performance. Second, by constructing a novel Lyapunov–Krasovskii functional which fully considers the whole sampling interval information from x ( t k ) to x ( t k + 1 ) , the stochastic stability conditions with less conservative are proposed using linear matrix inequality approach. Then, the desired mode-dependent controller is developed for the studied system. Finally, numerical examples are offered to verify the practicability of our results.