Reduced-order parameter varying controller with guaranteed Closed Loop Performence

Abstract

This Paper present an approach to order reduction of parameter varying controller . First, we find faesible solutions which satisfy parameter varying Lyapunovinequqlitie for constructing balanced parameter varying controllers. Next a singular perturbation methode of the time invariant systems is generalized to reduce the balanced conntroller order. Futhermorem , we will show that the reduced-order of the parameter varying closed loop system with the full-order controller is equivalent to the parameter varying closed loop system with bthe reduced- order controller. We also show that the reduced-order parameter varyingb controller guarantees closed looop stability and performence. The effectiveness of the proposed method and that found by balanced truncation method is compared