Discrete gain-scheduled controller design: Variable weighting approach

Abstract

Our paper deals with discrete gain-scheduled controller design which ensures closed-loop stability and guaranteed cost for all scheduled parameter changes. The novel procedure is based on Lyapunov theory of stability and BMI. To access the performance quality a quadratic cost function is used, where weighting matrices are time varying matrices which depends on scheduled parameter too. The class of control structure includes decentralized fixed order output feedback like PSD controller. Numerical examples illustrate the effectiveness of the proposed approach.