A Class of Uncertain Switched Linear Systems’ Pole Assignation

来源 :International Journal of Systems and Control | 被引量 : 0次 | 上传用户:speedwen
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A class of uncertain switched linear systems’ pole assignation based on state feedback is studied. The switched systems not only have unknown time-varying, norm-bounded uncertainty in system’s structure, but also have exogenous disturbance. By using common Lyapunov function method, a switching control strategy to assure each subsystem’s eigenvalue inside a chosen circle on the open left-half complex plane is derived. When every subsystem is unstable, by a designing state feedback controller can make the poles of the systems on the open left-haft complex plane, then the systems are asymptotic stable under the arbitrary switching rules. Thus a sufficient condition of robust stabilization for switched systems is obtained. Based on convex combinations technique and linear matrix inequalities method, the result is expressed in the form of linear matrix inequalities, which can be solved easily. Finally the simulation shows that the designed controller can make the switched systems’ poles inside the chosen circles and make the states asymptotically stable under the arbitrary switching strategy. A class of uncertain switched linear systems’ pole assignation based on state feedback is studied. The switched systems not only have unknown time-varying, norm-bounded uncertainty in system’s structure, but also have exogenous disturbance. By using common Lyapunov function method, a switching control strategy to assure each subsystem’s eigenvalue inside a chosen circle on the open left-half complex plane is derived. When every subsystem is unstable, by a designing state feedback controller can make the poles of the systems on the open left-haft complex plane , the systems are asymptotic stable under the arbitrary switching rules. Thus a sufficient condition of robust stabilization for switched systems is obtained. Based on the convex combination technique and linear matrix inequalities method, the result is expressed in the form of linear matrix inequalities, which Finally the simulation shows that the designed controller can make the switched systems’ p oles inside the chosen circles and make the states asymptotically stable under the arbitrary switching strategy.
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