Stability and L2 performance analysis of LPV-IO systems using parameter-dependent lyapunov functions

Abstract

Stability and performance analysis for linear parameter-varying systems with rational parameter dependence in input-output form is considered. Extending previous results, novel linear matrix inequality conditions are presented that permit to reduce conservatism while completely avoiding dynamic parameter dependence. The results are derived by using implicit linear fractional representations to describe the input-output behavior given by a rational parameter-dependent kernel representation. Two examples demonstrate the merits of the proposed analysis conditions.