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Finite-time state feedback stabilization of strict-feedback switched systems with asymmetric output-constraints
Mujun Chen1, Zihang Wei2, Xiangze Lin2
1College of information Engineering, Henan Vocational College of Agriculture, Zhengzhou, 451450, PR China; College of Artificial Intelligence, Nanjing Agricultural University, Nanjing, 210031, PR China.
Abstract:
Finite-time stabilization of strict-feedback switched systems with asymmetric output constraints (AOCs) via state feedback is investigated. First, an elaborately constructed fraction-type barrier Lyapunov function (BLF) is presented. Then, with a mild assumption on strict-feedback switched systems, state feedback laws are constructed by revamping the adding a power integrator approach (AAPIA) and meanwhile a common Lyapunov function (CLF) is also obtained. The resultant closed-loop systems are finite-time stable (FTS) and the asymmetric output constraint is satisfied too. The approach, proposed in this note, can make strict-feedback switched systems with/without AOCs finite-time stable in a unified frame.
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