1. Finite-time sliding mode control of switched systems with one-sided Lipschitz nonlinearity
- Author
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Haijuan Zhao and Yugang Niu
- Subjects
Quadratic growth ,Lyapunov function ,0209 industrial biotechnology ,Computer Networks and Communications ,Applied Mathematics ,Phase (waves) ,Mode (statistics) ,02 engineering and technology ,Interval (mathematics) ,Lipschitz continuity ,Sliding mode control ,Stability (probability) ,symbols.namesake ,020901 industrial engineering & automation ,Control and Systems Engineering ,Control theory ,Signal Processing ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,020201 artificial intelligence & image processing ,Mathematics - Abstract
This work investigates the problem of input–output finite-time stability (IO-FTS) for one-sided Lipschitz switched systems by sliding mode control (SMC) approach. A key issue is how to ensure the IO-FTS of the switched systems during the whole finite-time interval under the unknown one-sided Lipschitz nonlinearity. To this end, a sliding mode law is constructed to ensure the state trajectories can be driven onto the sliding surface during the assigned finite time interval. By means of partitioning strategy and the multiple Lyapunov function (MLF) approach, the corresponding IO-FTS over reaching phase and sliding motion phase are guaranteed, respectively. And then, some sufficient conditions are derived by utilizing the one-sided Lipschitz and quadratically inner-bounded conditions. Finally, an illustrative example is given to illustrate the proposed method.
- Published
- 2020
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