Composite anti-disturbance control for a discrete-time time-varying delay system with actuator failures based on a switching method and a disturbance observer. (English) Zbl 1292.93042
Summary: The composite anti-disturbance control problem is developed for discrete-time systems with both time-varying delay and multiple disturbances under actuator failures in this paper. First, depending on the information of actuator failures, the system is transformed into a switched system. Then, considering the switched system, the composite controller is designed via a disturbance observer based control and an exponential \(l_2 - l_\infty\) control method. A disturbance observer is constructed to estimate the disturbances generated by an exogenous system, and the estimated value is introduced into a memory exponential \(l_2 - l_\infty\) state feedback control law, such that, the closed-loop system is asymptotically stable, and different types of disturbances are rejected and attenuated. Third, by resorting to the average dwell time approach and the free-weighting matrix technique, some sufficient criteria for the desired disturbance observer and the state feedback controller are established, and the corresponding solvability conditions using a cone complementarity linearization method are presented. A numerical example is provided to demonstrate the effectiveness of the proposed algorithms finally.
MSC:
| 93B07 | Observability |
| 93C55 | Discrete-time control/observation systems |
| 93C73 | Perturbations in control/observation systems |
| 93D20 | Asymptotic stability in control theory |
Keywords:
disturbance observer; discrete-time systems; switching method; exponential \(l_2 - l_\infty\) controller; average dwell time; actuator failuresReferences:
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