STATE-SPACE DESIGN OF LOW-ORDER STABILIZERS

This paper presents an algorithm for stabilizing a linear multivariable system with a controller of fixed dynamic order. This is an output feedback stabilization problem. An algorithm that attempts to solve this via a sequence of approximate pole assignment problems is presented. The approximation is driven by the optimization of an objective function consisting of a weighted sum of the condition number of the closed-loop eigenvectors and the norm of the difference between the computed and actual equivalent state feedback controls. The algorithm can be used for generating low-order solutions to the stabilization problem. The problem treated here is useful in design problems which involve parameter optimization, and is also important in practical situations where stabilization is to be accomplished with a fixed number of available parameters. © 1990 IEEE