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Resilient \(H_\infty\) control for uncertain turbofan linear switched systems with hybrid switching mechanism and disturbance observer. (English) Zbl 1510.93133

Summary: In this paper, a composite resilient anti-disturbance \(H_\infty\) control scheme is presented for the turbofan linear switched systems with uncertainties and external disturbances via the disturbance observer-based control (DOBC) approach. Since the single-point linearization model cannot be used to accurately describe the engine characteristics of the whole envelope, the multi-model switching method is adopted to preferably describe the working characteristics of the turbofan. A hybrid switching scheme based on state-dependent switching and minimum dwell time constraint is developed to ensure the stability of closed-loop systems and satisfy the dwell-time requirement of turbofan systems. Then, a robust resilient controller is built by combining the DOBC approach and resilient control technique. Based on the multiple Lyapunov functions method, some easy-to-test results are given to guarantee that the closed-loop switched systems are asymptotically stable with \(H_\infty\) property. Finally, the effectiveness of the proposed method is verified through some simulations and comparisons.

MSC:

93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93B36 \(H^\infty\)-control
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