Delay-dependent robust passive control for a class of nonlinear systems with time-varying delays

Jiqing Qiu; Zhifeng Gao; Yuanqing Xia; Jinhui Zhang

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Delay-dependent robust passive control for a class of nonlinear systems with time-varying delays

机译：一类时变时滞非线性系统的时滞相关鲁棒被动控制

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In this paper, the problem of robust passive control for a class of nonlinear systems with time-varying delays is considered. The uncertainties investigated in this paper are norm bounded and time varying, and they enter all system matrices. Based on the Lyapunov-Krasovskii functionals approach, a new robust passive control criterion is proposed in terms of linear matrix inequalities, which is dependent on the size of time delay. We also design a state feedback controller that guarantees a robust asymptotically stable and strictly passive closed-loop system for all admissible uncertainties. Finally, two numerical examples are given to illustrate the effectiveness of the developed techniques.

机译：本文考虑一类时变时滞非线性系统的鲁棒无源控制问题。本文研究的不确定性是有界的且随时间变化的，它们进入了所有系统矩阵。基于Lyapunov-Krasovskii泛函方法，针对线性矩阵不等式，提出了一种新的鲁棒无源控制准则，该准则取决于时间延迟的大小。我们还设计了一种状态反馈控制器，该控制器可为所有可容许的不确定性提供鲁棒的渐近稳定且严格被动的闭环系统。最后，给出了两个数值示例来说明所开发技术的有效性。

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来源
《Optimal Control Applications and Methods》 |2008年第5期|共19页
作者
Jiqing Qiu; Zhifeng Gao; Yuanqing Xia; Jinhui Zhang;
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正文语种 eng
中图分类应用数学;
关键词
Time-varying delays; Passive control; Linear matrix inequalities (LMIs); Nonlinear systems;

机译：时变时滞无源控制线性矩阵不等式非线性系统;

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专利

1. Delay-dependent robust passive control for a class of nonlinear systems with time-varying delays [J] . Jiqing Qiu, Zhifeng Gao, Yuanqing Xia, Optimal Control Applications and Methods . 2008,第5期

机译：一类时变时滞非线性系统的时滞相关鲁棒被动控制
2. Delay-dependent non-fragile robust stabilization and H_∞ control of uncertain stochastic systems with time-varying delay and nonlinearity [J] . Cheng Wang, Yi Shen Journal of the Franklin Institute . 2011,第8期

机译：具有时变时滞和非线性的不确定随机系统的时滞相关非脆弱鲁棒镇定和H_∞控制
3. Delay-Dependent Robust Stabilization and H_∞ Control for Nonlinear Stochastic Systems with Markovian Jump Parameters and Interval Time-Varying Delays [J] . Senthilkumar T., Balasubramaniam P. Journal of Optimization Theory and Applications . 2011,第1期

机译：具有马尔可夫跳跃参数和时变时滞的非线性随机系统的时滞相关鲁棒镇定和H_∞控制
4. Refined delay-dependent robust stability criteria of a class of uncertain mixed neutral and Lur'e dynamical systems with interval time-varying delays and sector-bounded nonlinearity [C] . Wang Yantao, He Yang, Zhang Xian 2011 Chinese Control and Decision Conference . 2011

机译：一类不确定的不确定中立和Lur'e混合动力系统的时滞相关鲁棒稳定性准则，其具有时变间隔和扇区界非线性
5. Adaptive robust control of nonlinear time-varying systems with application to flexible mechanisms. [D] . Gorman, Jason John. 2002

机译：非线性时变系统的自适应鲁棒控制及其在柔性机构中的应用。
6. Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay [O] . Ruliang Wang, Jie Li, Shanshan Zhang, 2013

机译：一类具有时变时滞的不确定非线性系统的鲁棒自适应控制
7. Novel delay-dependent robust stability criteria for neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays [O] . Kaibo Shi, Youhua Wei, Shouming Zhong, 2017

机译：具有混合时间延迟的中性型时变不确定Lurie非线性控制系统的新型延迟依赖性稳健稳定性标准

Delay-dependent robust passive control for a class of nonlinear systems with time-varying delays

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