Reliable finite-frequency H∞ control for switched systems with actuator faults and mode-dependent average dwell time

This paper deals with the reliable finite-frequency $ H_{\infty } $ H∞ control problem for switched systems with actuator faults and mode-dependent average dwell time (MDADT). The objective of designing reliable controllers is to guarantee the stability and robustness of the closed-loop system in the case of actuator faults. The actuator fault is solved using the convex combination method. A finite-frequency $ H_{\infty } $ H∞ performance index is first defined in the frequency domain, and then a finite-frequency performance condition is derived by the generalised Kalman-Yakubovi $ \breve{c} $ c˘-Popov (GKYP) lemma. Combined with the MDADT approach and linear matrix inequality technology, a sufficient condition for the existence of a set of reliable finite-frequency $ H_{\infty } $ H∞ controllers is derived. As a comparison, a sufficient condition is also given for the existence of a set of standard finite-frequency $ H_{\infty } $ H∞ controllers. Finally, the effectiveness and feasibility of the proposed method are verified using a tilt-rotor aircraft. In addition, simulations and comparisons show that the designed reliable controller can stabilise the system even if actuator faults occur.