Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 67, Issue 3, Pages 1521-1528Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2021.3065658
Keywords
Power system stability; Symmetric matrices; Control systems; Decentralized control; Power system dynamics; Linear matrix inequalities; Switches; Adaptive sliding mode control (SMC); decentralized control; large-scale systems (LSSs); semi-Markovian jump systems (S-MJSs)
Funding
- National Natural Science Foundation of China [62003231]
- Natural Science Foundation of Jiangsu Province [BK20200989]
- NCF for colleges and universities in Jiangsu Province [20KJB120005]
- Anhui Province Key Laboratory of Intelligent Building and Building Energy Saving [IBES2020KF01]
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In this article, a decentralized adaptive sliding mode control scheme is proposed for stabilization of large-scale semi-Markovian jump interconnected systems. The control scheme tackles the issues of dead-zone linearity in the input and unknown interconnections among subsystems. The effectiveness of the proposed control scheme is verified through a numerical example.
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.
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