Robust output feedback control for time-delay fuzzy systems with persistent bounded disturbances

Tao Hongfeng, Hu Shousong
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Abstract

The robust static output feedback control problem for a class of T-S fuzzy systems with time-varying state delay and disturbances both in the inputs and outputs is discussed. By defining a delay-dependent Lyapunov function, the robust control technique is extended to the time-delay systems, the synthetical design procedures of the static output feedback controllers are derived in terms of the linear matrix inequalities, and the robust performance is optimized by the iteration algorithms. This method can efficiently attenuate the peak of the persistent bounded disturbances, and will be more appealing in some practical applications.
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具有持续有界扰动的时滞模糊系统的鲁棒输出反馈控制
讨论了一类具有时变状态延迟和输入输出均有扰动的T-S模糊系统的鲁棒静态输出反馈控制问题。通过定义时滞相关的Lyapunov函数,将鲁棒控制技术推广到时滞系统,根据线性矩阵不等式推导出静态输出反馈控制器的综合设计步骤,并通过迭代算法优化鲁棒性能。该方法能有效地衰减持续有界扰动的峰值,在实际应用中更有吸引力。
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