Decentralized Adaptive Sliding Mode Control of Large-Scale Semi-Markovian Jump Interconnected Systems With Dead-Zone Input

• Published in: IEEE transactions on automatic control Vol. 67; no. 3; pp. 1521 - 1528
• Main Authors: Jiang, Baoping, Gao, Cunchen
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Adaptive sliding mode control (SMC); Control systems; Control systems design; Decentralized control; Dynamic stability; Interconnections; large-scale systems (LSSs); Linear matrix inequalities; Power system dynamics; Power system stability; semi-Markovian jump systems (S-MJSs); Sliding mode control; Subsystems; Switches; Symmetric matrices; Variable structure control
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2021.3065658

In this article, a decentralized adaptive sliding mode control scheme is proposed for stabilization of large-scale semi-Markovian jump interconnected systems, in which dead-zone linearity in the input and unknown interconnections among subsystems are tackled. First, by designing an integral sliding surface for each subsystem, local sliding mode dynamics are obtained in good property of dynamics. Second, sufficient conditions are established for checking the stochastic stability of the sliding mode dynamics with generally uncertain and unknown transition rates. Third, a variable structure controller is designed to guarantee finite-time reachability of sliding surface, and the unknown interconnections among subsystems are compensated by adaptive laws. Finally, a numerical example is provided to verify the effectiveness of the proposed control scheme.