Finite-Time $H_{\infty}$ Model Reference Control of SLPV Systems and its Application to Aero-Engines

In this paper, the finite-time H_∞ 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_∞ 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_∞ 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.