H∞ filtering for switched linear parameter-varying systems and its application to aero-engines

This study deals with the H-infinity filtering problem for switched linear parameter-varying (LPV) systems using the multiple parameter-dependent Lyapunov function technique. The parameter and mode-dependent switching law and the filter state-relied controllers are designed to ensure the H-infinity performance without requiring the stability of each individual subsystem. An H-infinity filtering synthesis condition is obtained by a matrix optimisation iterating algorithm. Simulation result on a switched LPV aero-engine model shows the feasibility and the validity of the H-infinity filtering scheme.