Robust gain-scheduled controller design for uncertain LPV systems: Affine quadratic stability approach

Abstract

Our paper deals with robust gain-scheduled controller design for uncertain LPV systems which ensures closed-loop stability and guaranteed cost for all scheduled parameter changes. The novel procedure is based on LPV paradigm, Lyapunov theory of stability and guaranteed cost from LQ theory. The feasible design procedures are obtained in the form of BMI or LMI. The class of control structure includes centralized or decentralized fixed order output feedbacks like PI controller. Numerical examples illustrate the effectiveness of the proposed approach.

Keywords

• Gain-scheduling
• Continuous time
• Output feedback
• Quadratic stability
• MIMO LPV systems