Global fixed-time stabilization for a class of switched nonlinear systems with general powers and its application |
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Institution: | 1. Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, Jiangsu 210096, China;2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China |
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Abstract: | This paper investigates the problem of global fixed-time stabilization for a class of uncertain switched nonlinear systems with the general powers, namely, the powers of the considered systems can be different odd rational numbers, even rational numbers or both odd and even rational numbers. By skillfully using the common Lyapunov function method and the adding a power integrator technique, a common state feedback control strategy is developed. It is proved that the proposed controller can guarantee that the state of the resulting closed-loop system converges to zero for any given fixed time under arbitrary switchings. Simulation results of the liquid-level system are provided to show the effectiveness of the proposed method. |
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Keywords: | Switched nonlinear systems Common Lyapunov function Adding a power integrator Fixed-time stabilization |
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