Finite-Time H∞ Model Reference Control of SLPV Systems and Its Application to Aero-Engines

In this paper, the finite-time H-infinity model reference tracking control problem for switched linear parameter-varying (SLPV) systems is considered. The associated error SLPV system is obtained by designing the SLPV reference model based on a set of affine Sylvester equations. By using the mode-dependent average dwell time (MDADT) approach, sufficient conditions are deduced to guarantee the finite-time boundedness with a prescribed H-infinity performance of the error SLPV system. The design problem of the model reference SLPV controller is converted into the design of the reference model and the analysis of the finite-time H-infinity performance of the error SLPV system. Consequently, the relationship among the MDADT, the exogenous disturbance and the finite-time intervals is established. Finally, an application regarding the speed tracking control of a turbofan engine is given to verify the effectiveness of the acquired results.