Linear Systems Subject to Input Saturation and Time Delay: Global Asymptotic Stabilization

Yakoubi K.; Chitour Y.

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Linear Systems Subject to Input Saturation and Time Delay: Global Asymptotic Stabilization

机译：具有输入饱和和时滞的线性系统：全局渐近稳定

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This note deals with the problem of global asymptotic stabilization of linear systems by bounded static feedbacks subject to time delay. Under standard necessary conditions, we provide two constructions of controllers of nested saturation type which extends to the general case partial results of previous papers for arbitrary small bound on the control and large (constant) delay. To validate the approach, a third-order integrator and oscillator with multiplicity two example is presented

机译：本说明通过受时间延迟的有界静态反馈处理线性系统的全局渐近稳定问题。在标准必要条件下，我们提供了两种嵌套饱和型控制器的结构，这些结构可扩展到先前论文的一般情况下，由于控制上的任意小界限和大（恒定）延迟而产生的部分结果。为了验证该方法，给出了具有两个多重性的三阶积分器和振荡器

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《IEEE Transactions on Automatic Control》 |2007年第5期|p.874-879|共6页
作者
Yakoubi K.; Chitour Y.;
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正文语种 eng
中图分类自动化系统;
关键词
Lyapunov methods; asymptotic stability; delay systems; linear systems; uncertain systems; Lyapunov functions; bounded static feedbacks; global asymptotic stability; linear systems; time delay systems; Bounded controls; Lyapunov functions; saturation; stabilization; ti;

机译：Lyapunov方法;渐近稳定性;时滞系统;线性系统;不确定系统;Lyapunov函数;有界静态反馈;全局渐近稳定性;线性系统;时滞系统;有界控制;Lyapunov函数;饱和度;稳定性;ti;

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专利

1. Global stabilization of linear systems subject to input saturation and time delays [J] . Wu Jiawei, Huang Ling Journal of the Franklin Institute . 2021,第1期

机译：线性系统的全局稳定化，以输入饱和度和时间延迟
2. Global Stabilization of Discrete-Time Linear Systems Subject to Input Saturation and Time Delay [J] . Yang Xuefei, Zhou Bin, Mazenc Frederic, IEEE Transactions on Automatic Control . 2021,第3期

机译：通过输入饱和度和时间延迟的离散时间线性系统的全局稳定
3. DELAY-DEPENDENT LMI CONDITION FOR GLOBAL ASYMPTOTIC STABILITY OF DISCRETE-TIME SYSTEMS WITH TIME-VARYING DELAY SUBJECT TO PARTIAL STATE SATURATION NONLINEARITIES [J] . P. Kokil, V. K. R. Kandanvli, H. Kar The Mediterranean Journal of Measurement and Control . 2012,第4期

机译：具部分状态饱和非线性的时滞离散系统的全局渐近稳定性的时滞相关LMI条件
4. A low-and-high gain approach to semi-global stabilization and/or semi-global practical stabilization of a class of linear systems subject to input saturation via linear state and output feedback [C] . Zongli Lin, Saberi, A. . 1993

机译：一种低和高增益方法，用于通过线性状态和输出反馈使输入饱和的一类线性系统的半全局稳定和/或半全局实际稳定
5. Global and semi-global control problems for linear systems subject to input saturation and minimum-phase input-output linearizable systems. [D] . Lin, Zongli. 1994

机译：受输入饱和和最小相位输入输出线性化系统影响的线性系统的全局和半全局控制问题。
6. An LMI Based Criterion for Global Asymptotic Stability of Discrete-Time State-Delayed Systems with Saturation Nonlinearities [O] . Priyanka Kokil 2014

机译：具有饱和非线性的离散状态时滞系统的全局渐近稳定性的基于LMI的准则
7. Global Stabilization of Discrete-Time Linear Systems Subject to Input Saturation and Time Delay [O] . Xuefei Yang, Bin Zhou, Frederic Mazenc, 2021

机译：通过输入饱和度和时间延迟的离散时间线性系统的全局稳定
8. Output Regulation for Linear Discrete-Time Systems Subject to Input Saturation [R] . Mantri, R., Saberi, A., Lin, Z., 1995

机译：输入饱和的线性离散时间系统的输出调节

Linear Systems Subject to Input Saturation and Time Delay: Global Asymptotic Stabilization

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