Abstract
The descriptor form provides system representations that preserve structure of systems along with static constraints on descriptor variables. Based on the descriptor-form representations of LPV (linear parameter varying) -systems, this paper proposes an approach to gain-scheduling controller synthesis. First, we show a descriptor form with scheduling parameters on the coefficient matrices and discuss using it as a model of LPV-systems. Next, we give a synthesis method of quadratically stabilizing LPV-controllers via solving LMIs for both state-feedback and output-feedback systems.
