Comparisons of adaptive fault-tolerant insensitive control methods for a class of linear systems. (English) Zbl 1407.93171
Summary: In this paper, the problem of fault-tolerant insensitive control is addressed for a class of linear time-invariant continuous-time systems against bounded time-varying actuator faults and controller gain variations. Adaptive mechanisms are developed to adjust controller gains in order to compensate for the detrimental effects of partial loss of control effectiveness and bias-actuator faults. Variations of controller gains arise from time-varying and bounded perturbations that are supposed to always exist in adaptive mechanisms. Based on the disturbed outputs of adaptive mechanisms, three different adaptive control strategies are constructed to achieve bounded stability results of the closed-loop adaptive fault-tolerant control systems in the presence of actuator faults and controller gain variations. Furthermore, comparisons of convergence boundaries of states and limits of control inputs among adaptive strategies are developed in this paper. The efficiency of the proposed adaptive control strategies and their comparisons are demonstrated by a rocket fairing structural-acoustic model.
MSC:
| 93C40 | Adaptive control/observation systems |
| 93B35 | Sensitivity (robustness) |
| 93C05 | Linear systems in control theory |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
Keywords:
actuator faults; bounded stability; disturbed adaptive mechanisms; fault-tolerant control systemReferences:
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