输入饱和下的非线性积分系统的全局有限时间镇定

针对一类非线性积分系统,利用有限时间控制技术,提出了一种输入饱和情况下的全局有限时间控制方案.首先,基于有限时间Lyapunov稳定性理论,设计镇定系统的全局有限时间递归控制器.然后,将该递归控制器与饱和函数结合得到饱和控制器.数学上严格证明了在该饱和控制器的作用下,闭环系统满足全局有限时间稳定性.仿真结果验证了该方法的有效性....

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Bibliographic Details
Published in自动化学报 Vol. 37; no. 10; pp. 1222 - 1231
Main Author 丁世宏 李世华
Format Journal Article
LanguageChinese
Published 2011
Subjects
有限时间镇定
积分系统
非线性系统
饱和控制
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Summary:针对一类非线性积分系统,利用有限时间控制技术,提出了一种输入饱和情况下的全局有限时间控制方案.首先,基于有限时间Lyapunov稳定性理论,设计镇定系统的全局有限时间递归控制器.然后,将该递归控制器与饱和函数结合得到饱和控制器.数学上严格证明了在该饱和控制器的作用下,闭环系统满足全局有限时间稳定性.仿真结果验证了该方法的有效性.
Bibliography:DING Shi-Hong1 LI Shi-Hua21.School of Electrical and Information Engineering,Jiangsu University,Zhenjiang 212013 2.School of Automation,Southeast University,Nanjing 210096
11-2109/TP
By utilizing finite-time control technique,a global finite-time control scheme is proposed for a class of nonlinear integrator systems subject to input saturation.First of all,based on finite-time Lyapunov stability theory,a global finitetime recursive stabilizing controller is presented.Then by combining the saturated function with the recursive controller,a saturated controller is developed.Rigorous mathematical proof shows that under the saturated controller,the closed loop system is globally finite-time stable.Simulation results verify the e？ectiveness of the proposed method.
Nonlinear system; finite-time stabilization; saturated control; integrator system
ISSN:0254-4156
1874-1029