Improved multiobjectiveScript capital H2/Script capital H∞switching gain-scheduled controller synthesis exploiting inexact scheduling parameters

In this article, the design problem of switching gain-scheduled output-feedback (SGSOF) controller with mixedScript capital H2/Script capital H infinity performance exploiting inexact scheduling parameters for continuous-time linear parameter-varying (LPV) systems is tackled. The absolute and proportional uncertainties on the scheduling parameters are considered. All the system matrices of the LPV plant are supposed to have polynomial dependency of arbitrary degree on the scheduling parameters. By exploiting hysteresis switching law and utilizing two independent families of parameter-dependent Lyapunov matrices and a family of slack variables, introducing additional degrees of freedom, performance improvement is achieved. A design approach, involving a two-step algorithm, is proposed in terms of solutions to a set of parameter-dependent linear matrix inequalities (LMIs) including parameter searches for two scalar values. The merit of the proposed method lies in its less conservativeness in comparison with the available approaches in the literature. Numerical studies are carried out to demonstrate the effectiveness of the presented method.