引用本文:赖文馨,李元龙,林宗利.基于系统输出的嵌套饱和系统抗饱和补偿器设计[J].控制理论与应用,2023,40(2):187~195.[点击复制]
LAI Wen-xin,LI Yuan-long,LIN Zong-li.Output-based anti-windup compensator designs for nested saturated systems[J].Control Theory and Technology,2023,40(2):187~195.[点击复制]
基于系统输出的嵌套饱和系统抗饱和补偿器设计
Output-based anti-windup compensator designs for nested saturated systems
摘要点击 1193  全文点击 417  投稿时间:2021-12-30  修订日期:2023-03-10
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DOI编号  10.7641/CTA.2022.11298
  2023,40(2):187-195
中文关键词  非线性控制系统  嵌套饱和  抗饱和  吸引域
英文关键词  nonlinear control systems  nested saturation  anti-windup  domain of attraction
基金项目  国家自然科学基金项目(62022055, 61973215)资助.
作者单位邮编
赖文馨 上海交通大学自动化系 200240
李元龙* 上海交通大学自动化系 200240
林宗利 美国弗吉尼亚大学电机与计算机工程系 
中文摘要
      针对嵌套输入饱和系统的吸引域扩大问题, 本文提出了一种基于系统输出的抗饱和补偿器激发策略, 将被 控系统输出信号经性能补偿器馈入到抗饱和补偿器激发环节中, 形成蕴含系统实时性能信息的抗饱和激发新机制, 克服了传统抗饱和激发机制无法直接反映系统性能的缺点. 基于上述抗饱和控制新框架, 本文建立了抗饱和补偿 器及性能补偿器存在的充分条件, 并依此构建了优化问题求解最优补偿器增益以实现扩大闭环系统吸引域的目的. 仿真结果表明本文方法的有效性.
英文摘要
      This paper considers the problem of the enlargement of the domain of attraction for control systems with nested saturation in the input. We propose a new anti-windup approach with an output-based activation mechanism of the anti-windup compensator. Different from the existing saturation-based anti-windup control systems, the output signal of the saturated system is injected into the activation module of the anti-windup compensator through a performance compensator, resulting in a new activation mechanism that contains the real-time information of the system performance. The introduction of the system output signal leads to appropriate time to activate the anti-windup compensator. Under the resulting antiwindup framework, we establish sufficient conditions for the existence of the gains of the anti-windup compensator and performance compensator. Based on these conditions, the optimization problem is formulated for the optimal gains that enlarge the domain of attraction for the closed-loop system. Simulation results verify the effectiveness of the proposed approach.