Generalized non-fragile asynchronous mixed H∞ and passive output tracking control for neutral Markov jump systems

• Published in: Nonlinear dynamics Vol. 106; no. 1; pp. 523 - 541
• Main Authors: Wang, Jie, Zhuang, Guangming, Xia, Jianwei, Chen, Guoliang
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.09.2021; Springer Nature B.V
• Subjects: Automotive Engineering; Classical Mechanics; Closed loop systems; Control; Control systems; Dynamical Systems; Engineering; Equivalent circuits; Feedback control; H-infinity control; Linear matrix inequalities; Markov chains; Mathematical analysis; Mechanical Engineering; Original Paper; Performance indices; Tracking control; Vibration; Multiple delays; Generalized non-fragile asynchronous feedback control; Mixed; Hidden Markov model; Output tracking; Neutral Markov jump systems; and passivity performance
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-021-06829-x

This paper dealt with the problem of output tracking for neutral Markov jump systems with multiple delays based on generalized non-fragile asynchronous feedback control. Attention is focused on the design of generalized non-fragile asynchronous feedback controller to ensure that the closed-loop system is stochastically stabilization and meet an expected mixed H ∞ and passivity performance index. The modes of devised generalized non-fragile asynchronous feedback controller are assumed to run asynchronously with neutral Markov jump systems, which is described by a hidden Markov model. The sufficient conditions for the solvability of generalized non-fragile asynchronous feedback control problem are obtained based on decomposed free weighting matrices technique and linear matrix inequalities. The usefulness and effectiveness of output tracking based on generalized non-fragile asynchronous feedback controller are demonstrated by a numerical example and a practical example of neutral partial element equivalent circuit.