Optimal Integrated Design of Time-varying Fault Estimation and Accommodation for Nonuniformly Sampled Data Systems
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摘要: 针对一类发生连续时变故障的非均匀采样数据系统,建立了一套主动容错控制最优设计方案. 首先,为了实现基于非均匀离散采样输出对连续故障的估计,同时鉴于现有自适应故障诊断方法无法直接推广于非均匀采样数据系统,提出一种连续时间增广观测器最优设计方法,既能保证故障估计误差快速收敛同时又对外界干扰鲁棒;并且提出一个迭代算法对故障估计延迟与系统鲁棒性进行权衡;进一步地,基于所获得的故障信息,并考虑估计误差和时变故障内采样特性对容错控制带来的不利因素,设计基于状态反馈的非均匀采样容错控制器来快速恢复故障系统性能;最后,通过对四容水箱基准实例的仿真来验证所提方法的有效性.Abstract: In this paper, an active fault tolerant control design scheme is presented for a class of nonuniformly sampled data systems with continuous time-varying fault. Since the adaptive fault diagnosis technique can not be directly extended to such systems, an optimal continuous augmented observer is firstly designed to estimate the fault by use of nonuniform discrete output. The observer can not only guarantee fast convergence of estimation errors but also be robust to external disturbance. Then, an iterative algorithm is proposed to make a tradeoff between estimation delay and system robustness. Furthermore, with the obtained fault information, a nonuniformly sampled data fault tolerant controller based on state feedback is designed to recover the performance of the faulty system in consideration of the adverse impact of estimation errors and inter-sample behavior of continuous fault. Finally, the simulation results of an quadruple-tank example are included to illustrate the effectiveness of the proposed method.
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