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一类参数不确定系统的鲁棒镇定
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.
作者姓名:张 敏  刘京湘
作者单位:1. 湖南科技大学,信息与电气工程学院,湖南,湘潭,411201
2. 长沙航空职业技术学院电子信息工程系,湖南,长沙,411100
基金项目:湖南省教育厅资助科研项目(03A054).
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.

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
文章编号:1000-8152(2004)05-0830-05
收稿时间:2002/10/28 0:00:00

Robust stabilization for a class of parametric uncertain systems
ZHANG Min,LIU Jing-xiang.Robust stabilization for a class of parametric uncertain systems[J].Control Theory & Applications,2004,21(5):830-834.
Authors:ZHANG Min  LIU Jing-xiang
Affiliation:School of Information and Electricity Engineering,Hunan University of Science and Technology,Xiangtan Hunan 411201,China; Department of Electronic Information Engineering,Changsha Aeronautical Vocational and Technical College,Changsha Hunan 411100,China
Abstract: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.
Keywords:parametric uncertainty  nonlinear system  robust stabilization  Riccati equation  static synchronous compensator
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