Robust H2 switching gain-scheduled controller design for switched uncertain LPV systems

In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even under controller switching determined by scheduling parameters. Hysteresis switching law is exploited for the switching controller synthesis. The system matrices are supposed to depend polynomially on both the scheduling and uncertain parameters which are assumed to belong to intervals with a priori known bounds. The proposed approach is formulated in terms of solutions to a set of parameter-dependent LMIs using parameter searches for two scalar values. Finally, the method is applied to electromagnetic suspension system to verify the applicability of the presented approach.