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disturbance attenuation for a class of Lipschitz nonlinear systems with large input delay
International Journal of Robust and Nonlinear Control ( IF 3.9 ) Pub Date : 2020-11-16 , DOI: 10.1002/rnc.5324
Chunyan Wang 1 , Yunhan Li 1 , Jianan Wang 1 , Dandan Wang 1
Affiliation  

This article investigates urn:x-wiley:rnc:media:rnc5324:rnc5324-math-0003 disturbance attenuation problem for a class of Lipschitz nonlinear systems subject to unknown sensor disturbances/faults and large input delay. First, the Artstein model reduction method is applied to deal with the input delay and a descriptor observer is constructed to estimate the predicted state and sensor faults simultaneously. Then, a finite‐dimensional controller is designed, which gets rid of the distributed delays in traditional reduction controllers and is easy to be implemented. By using Lyapunov‐Krasovskii functionals, sufficient conditions are derived to guarantee the urn:x-wiley:rnc:media:rnc5324:rnc5324-math-0004 disturbance attenuation. Finally, a numerical simulation is given to demonstrate the effectiveness of the proposed method.

中文翻译:

一类具有大输入时滞的Lipschitz非线性系统的扰动衰减

本文研究ur:x-wiley:rnc:media:rnc5324:rnc5324-math-0003了一类Lipschitz非线性系统的扰动衰减问题,该系统受到未知的传感器扰动/故障和大输入延迟的影响。首先,采用Artstein模型简化方法处理输入延迟,并构造描述符观测器以同时估计预测状态和传感器故障。然后,设计了一种有限维控制器,该控制器摆脱了传统归约控制器中的分布式延迟,并且易于实现。通过使用Lyapunov‐Krasovskii函数,可以得出足够的条件来保证ur:x-wiley:rnc:media:rnc5324:rnc5324-math-0004干扰衰减。最后,通过数值仿真证明了该方法的有效性。
更新日期:2021-01-13
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