Reliable finite-frequency \(H_\infty\) control for switched systems with actuator faults and mode-dependent average dwell time. (English) Zbl 07885495
Summary: This paper deals with the reliable finite-frequency \(H_\infty\) 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 \(H_\infty\) performance index is first defined in the frequency domain, and then a finite-frequency performance condition is derived by the generalised Kalman-Yakubovič-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 \(H_\infty\) controllers is derived. As a comparison, a sufficient condition is also given for the existence of a set of standard finite-frequency \(H_\infty\) 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.
MSC:
| 93B36 | \(H^\infty\)-control |
| 93C80 | Frequency-response methods in control theory |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
Keywords:
switched systems; reliable control; finite-frequency \(H_\infty\) performance; GKYP lemma; mode-dependent average dwell timeSoftware:
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