Static output feedback stabilization: An ILMI approach

In this note, the static output feedback stabilization problem is addressed using the linear matrix inequality technique. A necessary and sufficient c ondition for static output feedback stabilizability for linear time-invaria nt systems is derived in the form of a matrix inequality. The extension of the result to H-infinity control is studied. An iterative LMI (ILMI) algori thm is proposed to compute the feedback gain. Numerical examples are employ ed to demonstrate the effectiveness and the convergence of the algorithm. ( C) 1998 Elsevier Science Ltd. All rights reserved.