Analysis of affinely parameter-varying systems using parameter-dependent Lyapunov functions

Stability and performance of linear parameter-varying systems whose parameters appear affinely are considered. Parameter dependent Lyapunov functions and the S-procedure are used to derive convex conditions in the form of linear matrix inequalities (LMIs) that guarantee stability and an induced L-2 norm bound for all allowable parameter variations. In each case, the parameter dependence is eliminated from the LMI so that no parameter gridding is required to verify the condition. The new analysis technique is an improvement over existing results that require LMIs to be evaluated over a dense grid of parameter values.