STATIC OUTPUT-FEEDBACK STABILIZATION WITH PRESCRIBED DEGREE OF STABILITY

The problem of finding a static output feedback matrix is restated. Th e new formulation replaces the solution of a set of inversely coupled Lyapunov inequalities with the simultaneous solution to an algebraic R iccati inequality and a Lyapunov inequality. An algorithm is developed based on the restated problem. Unlike previous algorithms, the algori thm is noniterative in linear matrix inequality (LMI) solutions. The a lgorithm may be used to prescribe a given degree of stability, while k eeping the static output feedback gain small. Use of the algorithm is demonstrated via an example.