一类二阶非线性系统的有限时间输出反馈镇定及其在单相DC-AC变换器中的应用  

Finite-time output feedback stabilization for second-order nonlinear systems with application to single-phase DC-AC inverter

作　　者：都海波[1] 许叶园 朱文武 程盈盈[1,3] DU Hai-bo;XU Ye-yuan;ZHU Wen-wu;CHENG Ying-ying(College of Electrical and Automation Engineering,Hefei University of Technology,Hefei 230000,China;School of Automation,Southeast University,Nanjing 210096,China;Key Laboratory of Measurement and Control of Complex Systems of Engineering of MOE,Southeast University,Nanjing 210096,China)

机构地区：[1]合肥工业大学电气与自动化工程学院,合肥230000 [2]东南大学自动化学院,南京210096 [3]东南大学复杂工程系统测量与控制教育部重点实验室,南京210096

出　　处：《控制与决策》2020年第7期1645-1650,共6页Control and Decision

基　　金：国家自然科学基金项目(61673153);安徽省自然科学基金项目(1808085MF180);东南大学复杂工程系统测量与控制教育部重点实验室开放课题基金项目(MCCSE2018A04);中央高校基本科研业务费专项资金项目(JZ2017HGPA0163,JZ2018HGBZ0125)。

摘　　要：研究一类二阶非线性系统的输出反馈控制问题.利用有限时间控制和有限时间收敛观测器技术,提出一种基于观测器的有限时间输出反馈控制器,可以保证系统的状态在有限时间内收敛到平衡状态.为了验证理论方法的实际效果,针对无电流信号的单相DC-AC变换器,利用所提出的有限时间控制理论设计电压调节控制器,通过相应的仿真结果验证所提出方法的有效性.The problem of output feedback control for a class of second-order nonlinear systems is investigated in this paper.Using the techniques of finite-time control and finite-time convergent observers,an observer-based finite-time output feedback controller is proposed,which can guarantee that the state of system converges to the equilibrium in a finite time.As an application of the proposed theoretical results,the problem of finite-time control without current signal for the DC–AC converters is solved.Simulation results demonstrate the effectiveness of the proposed method.

关 键 词：二阶非线性系统 有限时间控制 输出反馈控制 观测器 单相DC-AC变换器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]