State feedback stabilization of discrete linear switching systems subject to nonsymmetrical state and control bounds |
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Authors: | Zhiyuan LIU Guowei FAN and Hong CHEN |
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Affiliation: | 1. Department of Control Science and Engineering, Harbin Institute of Technology, Harbin Heilongjiang 150001, China 2. Department of Control Science and Engineering, Jilin University, Changchun Jilin 130025, China |
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Abstract: | Stabilization problem of discrete-time linear switching systems with bounds on the state and control input is solved in this paper. First, the synthesis of state feedback controllers that ensure the stability of closed-loop switching systems is studied under a sufficient condition. By using the idea of positive invariance, a stabilizing controller design methodology is proposed. Based on these results, the convergence rate problem is also discussed. A state feedback controller that guarantees the optimal convergence rate of closed-loop switching systems is obtained via optimization. Finally, an example made up of two subsystems is studied to show the application of our method. |
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Keywords: | Switching systems Constraints Stabilization problem Convergence rate problem |
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