L2 gain analysis of actuator saturation for switched LPV systems and applications to aero-engines

This paper considers the L
₂
gain analysis problem for switched linear parameter-varying (LPV) systems in the presence of actuator saturation. The multiple parameter-dependent Lyapunov functions approach is used to design a state feedback law and parameter mode-dependent switching law without requiring the stability of each subsystem. A sufficient condition is obtained by a matrix optimization to guarantee the L
₂
gain of the switched systems. Based on a family of linearized models of an aero-engine, a switched LPV model is built. Simulation results show the effectiveness and validity of the proposed method.