Stabilization of exponentially unstable linear systems withsaturating actuators

Tingshu Hu; Zongli Lin; Li Qiu

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Stabilization of exponentially unstable linear systems withsaturating actuators

机译：具有饱和执行器的指数不稳定线性系统的镇定

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摘要

We study the problem of stabilizing exponentially unstable linear systems with saturating actuators. The study begins with planar systems with both poles exponentially unstable. For such a system, we show that the boundary of the domain of attraction under a saturated stabilizing linear state feedback is the unique stable limit cycle of its time-reversed system. A saturated linear state feedback is designed that results in a closed-loop system having a domain of attraction that is arbitrarily close to the null controllable region. This design is then utilized to construct state feedback laws for higher order systems with two exponentially unstable poles

机译：我们研究了使用饱和执行器来稳定指数不稳定线性系统的问题。研究从两个极点都呈指数不稳定的平面系统开始。对于这样的系统，我们证明了饱和稳定线性状态反馈下的吸引域边界是其时间反转系统的唯一稳定极限环。设计了饱和的线性状态反馈，该反馈会导致闭环系统具有一个吸引域，该吸引域任意靠近零可控区域。然后，利用该设计为具有两个指数不稳定极点的高阶系统构造状态反馈定律

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来源
《IEEE Transactions on Automatic Control》 |2001年第6期|p.973-979|共7页
作者
Tingshu Hu; Zongli Lin; Li Qiu;
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原文格式 PDF
正文语种 eng
中图分类自动化系统;
关键词
actuators; asymptotic stability; closed loop systems; control nonlinearities; control system synthesis; controllability; limit cycles; linear systems; poles and zeros; state feedback; attraction domain boundary; closed-loop system; exponentially unstable linear syst;

机译：执行器;渐近稳定性;闭环系统;控制非线性;控制系统综合;可控制性;极限环;线性系统;极点和零点;状态反馈;吸引域边界;闭环系统;指数不稳定线性系统;

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1. Robust Exponential Stabilization of Uncertain Impulsive Bilinear Time-Delay Systems withSaturating Actuators [J] . YangShujie, ShiBao, ZhangQiang, Journal of control science and engineering . 2010,第3期

机译：带有饱和执行器的不确定脉冲双线性时滞系统的鲁棒指数镇定
2. Practical stabilization of exponentially unstable linear systems subject to actuator saturation nonlinearity and disturbance [J] . Hu TS., Lin ZL. International Journal of Robust and Nonlinear Control . 2001,第6期

机译：受到执行器饱和非线性和扰动影响的指数不稳定线性系统的实际稳定
3. Exponential stabilization of switched linear systems subject to actuator saturation with stabilizable and unstabilizable subsystems [J] . Ma Ruicheng, Zhang Hongrui, Zhao Shengzhi Journal of the Franklin Institute . 2021,第1期

机译：具有稳定和不可达到的子系统的执行器饱和度的交换线性系统的指数稳定
4. Robust stabilization of exponentially unstable linear systems with saturating actuators [C] . Tingshu Hu, Zongli Lin . 1999

机译：具有饱和执行器的指数不稳定线性系统的鲁棒稳定
5. Nonlinear control of multi-actuator electrohydraulic systems based on feedback linearization with application to road simulators [D] . Ayalew, Beshahwired 2005

机译：基于反馈线性化的多执行器电液系统非线性控制及其在道路模拟器中的应用
6. Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems [O] . Ioan-Lucian Popa, Mihail Megan, Traian Ceauşu 2013

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7. Practical stabilization of exponentially unstable linear systems subject to actuator saturation nonlinearity and disturbance [O] . Tingshu Hu, Zongli Lin, Li Qiu 2001

机译：受执行器饱和非线性和扰动影响的指数不稳定线性系统的实际稳定性
8. Exponentially Unstable Plants With Saturating Actuators. [R] . Lin, Z. 2002

机译：具有饱和执行器的指数不稳定植物。

Stabilization of exponentially unstable linear systems withsaturating actuators

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