1. Fixed-time sliding mode controller design for a class of nonlinear Markovian jumping systems.
- Author
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Nie, Rong, He, Shuping, Luan, Xiaoli, and Liu, Fei
- Subjects
- *
SLIDING mode control , *NONLINEAR equations - Abstract
In this paper, a sliding mode control (SMC) strategy is applied to investigate the fixed-time stabilization (FTS) problems for nonlinear Markovian jumping systems (NMJSs) with nonlinear parts satisfying conic conditions. We aim to design a suitable SMC law to drive the system state trajectories onto the specified sliding mode surfaces (SMS) within a specified fixed-time interval. Then, by using the slack matrix approach, the sufficient conditions are derived to ensure the FTS of MJSs during the reaching phase. An appropriate Lyapunov-Krasovskii functional method is given to guarantee the FTS of the NMJSs during the slidinging motion phase. Finally, the FTS condition of the NMJSs in the whole fixed-time interval is given and proved. The effectiveness of the method is verified by a simulation result related to the Chua's circuit. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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