Output feedback decentralized stabilization: ILMI approach

In this paper, the static output feedback decentralized stabilization probl em is addressed using a linear matrix inequality approach. A necessary and sufficient condition for static output feedback decentralized stabilizabili ty is derived for linear time-invariant large-scale systems. It is proven t hat the existence of a stabilizing decentralized gain is equivalent to that of the solution of a quadratic matrix inequality. The extension of the res ult to H-infinity control is studied. An iterative LMI algorithm based on t he linear matrix inequality technique is proposed to obtain the decentraliz ed feedback gain. Examples show the effectiveness of the algorithm. (C) 199 8 Elsevier Science B.V. All rights reserved.