We consider a continuous linear time invariant system with ellipsoidal parametric uncertainty structured into subsystems. Since the\ndesign of a local controller uses only information on a subsystemand its neighbours, we combine the plug and play idea and robust\ndistributed control to propose one distributed control strategy for linear system with ellipsoidal parametric uncertainty. Firstly\nfor linear system with ellipsoidal parametric uncertainty, a necessary and sufficient condition for robust state feedback control is\nproposed by means of linear matrix inequality. If this necessary and sufficient condition is satisfied, this robust state feedback gain\nmatrix can be easily derived to guarantee robust stability and prescribed closed loop performance. Secondly the plug and play idea\nis introduced in the design process. Finally by one example of aircraft flutter model parameter identification, the efficiency of the\nproposed control strategy can be easily realized.
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