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| Received:May 05, 2010Revised:September 26, 2011 |
| 基金项目:This work was supported by the National Science Fund of China for Distinguished Young Scholars (No. 60725311) and National Natural Science Foundation of China (No. 61034001). |
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| State feedback stabilization of discrete linear switching systems subject to nonsymmetrical state and control bounds |
| Zhiyuan LIU,Guowei FAN,Hong CHEN |
| (Department of Control Science and Engineering, Harbin Institute of Technology;Department of Control Science and Engineering, Jilin University) |
| 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. |
| Key words: Switching systems Constraints Stabilization problem Convergence rate problem |
