Robust control for a class of state-constrained high-order switched nonlinear systems with unstable subsystems

Yaowei Sun and Jun Zhao

International Journal of Systems Science, 2018, vol. 49, issue 16, 3320-3331

Abstract: This paper addresses the issue of robust stabilisation for a class of state-constrained high-order switched nonlinear systems whose subsystems are allowed to be all unstabilizable. A novel robust control scheme is established based on effective coupling of the technique of adding a power integrator and the method of multiple barrier Lyapunov functions. Explicitly, a sufficient condition for robustly stabilising the resulting closed-loop system in a domain is presented, which meanwhile can also guarantee that the violation of the constraints does not happen. Moreover, in the switching law design, we do not require the connection of barrier Lyapunov functions for two adjacent subsystems, and even a certain amount of jump is also allowed. Finally, the effectiveness of the provided control strategy is demonstrated via a simulation example.

Date: 2018
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DOI: 10.1080/00207721.2018.1536768

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