Controller reduction using a new invariant set

Abstract

A new controller reduction procedure based on a new set of similarity invariants is proposed. The new invariant set is made from the existing ones by using two real constants. Case studies according to the constants are also given. Through an example, it is shown that a near-optimal reduced-order controller can be obtained by fixing the constants at certain values. Some examples also show that the controller reduction by the proposed method gives both good stability and good performance of the closed-loop system.