Control of LPV Systems

Abstract

This chapter is devoted to the development of control-laws for linear parameter-varying systems. The LPV framework allows for an easy design of gain-scheduled controllers, that is, controllers whose state-space structure depends on the value of the parameters thereby used as scheduling variables. Ways for designing gain-scheduled state feedback and dynamic output feedback controllers are presented in the generic, polytopic and LFT settings. The goal of this chapter is not to detail the most advanced results obtained to date but rather to give a clear picture of what can be done. Suitable references pointing towards more recent and efficient results are given for completeness.