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Low-conservative robust composite nonlinear feedback control for singular time-delay systems
Journal of Vibration and Control ( IF 2.8 ) Pub Date : 2020-09-02 , DOI: 10.1177/1077546320953736
Emad Jafari 1 , Tahereh Binazadeh 1
Affiliation  

A low-conservative composite nonlinear feedback controller is proposed for singular time-delay systems with time-varying delay. The proposed composite nonlinear feedback controller not only improves the transient responses of the closed-loop system but it also has less conservatism than other composite nonlinear feedback controllers. The gain of the linear part of the composite nonlinear feedback controller is obtained by precise mathematical calculation to depend not only on the upper bound of the delay but also on the delay range and rate of its changes. More advantages of the proposed composite nonlinear feedback controller are its accurate operation in the presence of actuator saturation, model uncertainties, and system singularities. The linear and nonlinear parts of the proposed controller are designed by solving a linear matrix inequality problem confirmed through a theorem using Lyapunov stability analysis. The theoretical achievements are endorsed by computer simulation through numerical and practical examples.



中文翻译:

奇异时滞系统的低保守鲁棒复合非线性反馈控制

针对具有时变时滞的奇异时滞系统,提出了一种低保守的复合非线性反馈控制器。所提出的复合非线性反馈控制器不仅改善了闭环系统的瞬态响应,而且与其他复合非线性反馈控制器相比,其保守性也较低。复合非线性反馈控制器的线性部分的增益是通过精确的数学计算获得的,不仅取决于延迟的上限,而且取决于延迟范围和其变化率。所提出的复合非线性反馈控制器的更多优点是在存在执行器饱和,模型不确定性和系统奇异性的情况下其精确操作。该控制器的线性和非线性部分是通过使用Lyapunov稳定性分析解决由定理确定的线性矩阵不等式问题而设计的。通过数值模拟和实际算例对计算机仿真进行了理论验证。

更新日期:2020-09-02
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