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首页> 外文期刊>Optimal Control Applications and Methods >Fault reconstruction in descriptor linear parameter-varying systems via polytopic unknown-input proportional-integral observers
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Fault reconstruction in descriptor linear parameter-varying systems via polytopic unknown-input proportional-integral observers

机译：多目标未知输入比例积分观测器在描述符线性参数变化系统中的故障重构

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摘要

In this paper, a fault reconstruction scheme for a class of discrete-time descriptor linear parameter-varying systems is investigated. A discrete-time polytopic descriptor linear parameter-varying system subject to external disturbances and actuator faults is first established; then, using H-infinity techniques and regional pole constraints, a novel polytopic unknown-input proportional-integral observer is constructed to simultaneously reconstruct system states and actuator faults. Existence conditions for the new polytopic unknown-input proportional-integral observer are explicitly derived. The stability and convergence of the presented observer are proved through Lyapunov theory and linear matrix inequalities. Using a slack-matrix-variable technique, less conservative results for observer design are obtained. At last, an illustrative example is simulated to verify the effectiveness of the proposed fault reconstruction approach. Copyright (C) 2014 John Wiley & Sons, Ltd.
机译：本文研究了一类离散时间描述符线性参数变化系统的故障重构方案。首先建立了一个受外部干扰和执行器故障影响的离散时间多目标描述符线性参数变化系统。然后，使用H-infinity技术和区域极点约束，构造了一个新颖的多位未知输入比例积分观测器，以同时重建系统状态和执行器故障。明确推导了新的多位未知输入比例积分观测器的存在条件。通过李雅普诺夫理论和线性矩阵不等式证明了所提出观测器的稳定性和收敛性。使用松弛矩阵变量技术，获得的观察者设计保守性较低。最后，通过仿真实例验证了所提故障重构方法的有效性。版权所有（C）2014 John Wiley＆Sons，Ltd.

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