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State feedback stabilization of discrete linear switching systems subject to nonsymmetrical state and control bounds

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控制理论与应用（英文版） 2012年第2期10卷 216-222页

作者： zhiyuan liu 1 , guowei fan 1 , hong chen 2 1.department of control science and engineering, har.in institute of technology, har.in Heilongjiang 150001, china 2.department of control science and engineering, jilin university, changchun jilin 130025, china department of control science and engineering Harbin Institute of Technology Harbin Heilongjiang China department of control science and engineering Jilin University Changchun Jilin China

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.

关键词： Switching systems Constraints Stabilization problem Convergence rate problem

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Disturbance Attenuation property for a Class of Uncertain Discrete-time Linear Switching Systems

Disturbance Attenuation Property for a Class of Uncertain Di...

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第二十九届中国控制会议

作者： fan guowei1,liu zhiyuan1,chen hong2 1.department of control science and engineering,har.in institute of technology,har.in 150001,p.r.china2.department of control science and engineering,jilin university,changchun 130025,p.r.china

In this paper,a subclass of switching systems is considered,which is the discrete-time linear switching systems with only in-loop *** the presence of parameter variations and additive l∞ bounded disturbances,the control problem solved consists of determining the non-conservative bounds on the l∞norm of the controlled output,independently of the external uncontrollable event and *** basic idea employed in this paper is to translate the required level of performance into the constraint on the controlled switching systems,then this constraint is considered as the safety problem for this class of switching *** with the bisection method,the optimal level of performance that solves the disturbance attenuation property problem can be *** last,some simulation results are included to show the applicability of the technique.

关键词： Switching Systems Uncertain Systems Disturbance Attenuation reachability Safety problem

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