引用本文:张　敏, 刘京湘.一类参数不确定系统的鲁棒镇定[J].控制理论与应用,2004,21(5):830~834.[点击复制]
ZHANG Min, LIU Jing-xiang.Robust stabilization for a class of parametric uncertain systems[J].Control Theory and Technology,2004,21(5):830~834.[点击复制]
一类参数不确定系统的鲁棒镇定
Robust stabilization for a class of parametric uncertain systems
摘要点击 1797  全文点击 1508  投稿时间：2002-10-28  
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DOI编号  10.7641/j.issn.1000-8152.2004.5.033
  2004,21(5):830-834
中文关键词  参数不确定性  非线性系统  鲁棒镇定  黎卡提方程  静止同步补偿器
英文关键词  parametric uncertainty  nonlinear system  robust stabilization  Riccati equation  static synchronous compensator
基金项目  湖南省教育厅资助科研项目(03A054).
作者单位
张　敏, 刘京湘 湖南科技大学 信息与电气工程学院,湖南 湘潭 411201
长沙航空职业技术学院 电子信息工程系,湖南 长沙 411100 
中文摘要
      给出了一类参数不确定性系统的鲁棒镇定方法,首先对这类系统给出了一般描述,即这种系统的系统阵、输入阵都包含不确定参数,其非线性扰动项满足一定的约束条件.其次讨论了上述系统的基于代数黎卡提方程的正定解的鲁棒镇定方法.在应用方面,以包含静止同步补偿器(STATCOM)的电力系统为例,通过直接反馈线性化将上述系统转换为所讨论的线性系统.仿真结果验证了所提方法的控制效果.
英文摘要
      The robust stabilization for a class of parametric uncertain systems,which contain a small nonlinear disturbance,was given.The model of the systems,where the nonlinear disturbance meets the given constraint,was generally described.The system and output matrices of the model contained uncertain parameters.The design of robust stabilization control of the systems was discussed based on the positive-defined solution of algebraic Riccati equation.The electric power system with static synchronous compensator (STATCOM) served as an example for application.The power system was transformed into the linear system with nonlinear disturbance via direct feedback linearization.The simulation results verify the effectiveness of the given controller.