LPV systems: Theoretical results for Gain Scheduling

A succinct survey of theoretical results for LPV systems is presented in this paper. From modeling to synthesis of LPV controllers, details are given about some techniques and several references are laid for the different aspects of the procedure. Classical Lyapunov-based results are presented, as well as a recent approach for LPV closed-loop systems. Performance norm-based results are presented, followed by a discussion on LFT based synthesis. Finally, based on the concepts discussed, a methodology for an LPV controller synthesis is presented.