基于观测器的非线性Takagi-Sugeno系统执行器容错控制:一种LMI方法

D. Ichalal, B. Marx, J. Ragot, D. Maquin
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引用次数: 34

摘要

针对非线性Takagi-Sugeno (T-S)系统,提出了一种新的执行器容错控制策略。控制律旨在补偿执行器故障,并允许系统状态跟踪与无故障情况相对应的参考。这种控制律的设计需要了解故障,这一任务是通过比例积分观测器(PIO)来完成的。利用李雅普诺夫理论和系统的优化方法,分析了系统在容错控制律下的鲁棒稳定性。用线性矩阵不等式(lmi)的形式给出了充分的稳定性条件。FTC的收益是通过求解这些lmi得到的。最后给出了一个仿真实例。
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Observer based actuator fault tolerant control for nonlinear Takagi-Sugeno systems : an LMI approach
A new actuator fault tolerant control strategy is proposed for nonlinear Takagi-Sugeno (T-S) systems. The control law aims to compensate the actuator faults and allows the system states to track a reference corresponding to a fault free situation. The design of such a control law requires the knowledge of the faults, this task is achieved with a proportional integral observer (PIO). The robust stability of the system with the fault tolerant control law is analyzed with the Lyapunov theory and the ℒ2 optimization. Sufficient stability conditions are obtained in terms of linear matrix inequalities (LMIs). The gains of the FTC are obtained by solving these LMIs. A simulation example is finally proposed.
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