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基于采样控制的一类本质非线性系统的全局镇定
引用本文:都海波,李世华,钱春江,何怡刚.基于采样控制的一类本质非线性系统的全局镇定[J].自动化学报,2014,40(2):379-384.
作者姓名:都海波  李世华  钱春江  何怡刚
作者单位:1.合肥工业大学电气与自动化工程学院 合肥 230009, 中国;
基金项目:国家自然科学基金(61074013,61304007);国家杰出青年科学基金(509257 27);教育部博士点基金项目(20130111120007);中央高校基本科研业务费专项资金项 目(2012HGBZ0205,2012HGQC0002);中国博士后科学基金(2012 M521217);安徽省自然科学基金(1308085QF106)资助
摘    要:针对一类含不确定参数的本质非线性系统,基于非光滑控制技术,提出了 一种基于采样控制的全局非光滑镇定方案. 首先,基于加幂积分技术和递归设计方法,提出了一类采样状态反馈控制器构造性设计方法.然后,通过合理地构造Lyapunvo泛函,严格地证明了存在一个最大采样周期 可以保证闭环系统的全局渐近稳定性. 由于控制器是离散形式的,所以在实际中易于用计算机来实现. 仿真结果验证了该方法的有效 性.

关 键 词:全局镇定    本质非线性系统    非光滑控制    采样控制
收稿时间:2012-06-18

Global Stabilization of a Class of Inherently Nonlinear Systems under Sampled-data Control
DU Hai-Bo,LI Shi-Hua,QIAN Chun-Jiang,HE Yi-Gang.Global Stabilization of a Class of Inherently Nonlinear Systems under Sampled-data Control[J].Acta Automatica Sinica,2014,40(2):379-384.
Authors:DU Hai-Bo  LI Shi-Hua  QIAN Chun-Jiang  HE Yi-Gang
Affiliation:1.School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China;2.School of Automation, Southeast University, Nanjing 210096, China;3.Department of Electrical and Computer Engineering, the University of Texas at San Antonio, San Antonio 78249, USA
Abstract:For a class of inherently nonlinear systems with uncertain parameters, the global stabilization problem via sampled-data control is investigated in this paper. First of all, based on the technique of adding a power integrator and a recursive argument, a class of sampled-data state feedback controllers are proposed. Then under the proposed controller, by using a suitable Lyapunov functional, it is shown that there is a maximum allowable sampling period which can guarantee the global asymptotical stability of the closed-loop system. Since the proposed controller is discrete-time, it can be easily implemented by computers. Finally, an example is given to verify the efficiency of the proposed method.
Keywords:Global stabilization  inherently nonlinear systems  non-smooth control  sampled-data control
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