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随机系统中满意PID调节器的设计
引用本文:臧文利,郭治,王远钢.随机系统中满意PID调节器的设计[J].控制与决策,2005,20(11):1314-1316.
作者姓名:臧文利  郭治  王远钢
作者单位:南京理工大学,自动化系,南京,210094;南京理工大学,理学院,南京,210094
基金项目:国家自然科学基金项目(60174028);博士点基金项目(20040288002).
摘    要:应用满意控制思想,研究了扇形区域极点和稳态输出方差约束下PID调节器的设计问题.将PID调节器设计问题转化为局部状态反馈问题,再通过适当变换将PID调节器参数设计转化为求解一组线性矩阵不等式的可行解问题,从而可通过MATLAB中的LMI工具箱方便地求解.算例说明了所提出方法的有效性.

关 键 词:局部状态反馈  PID稳态输出方差  扇形区域极点  满意控制
文章编号:1001-0920(2005)11-1314-03
收稿时间:2004-11-09
修稿时间:2005-01-26

Satisfactory PID Regulator Design of Stochastic Systems
ZANG Wen-li,GUO Zhi,WANG Yuan-gang.Satisfactory PID Regulator Design of Stochastic Systems[J].Control and Decision,2005,20(11):1314-1316.
Authors:ZANG Wen-li  GUO Zhi  WANG Yuan-gang
Affiliation:a. Department of Automation, b. School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, China
Abstract:The design problem of PID regulator under the sector region poles and steady-state output covariance constraints is studied by employing the satisfactory control. The problem can be transformed to partial state feedback problem by choosing state variables properly, and finally to the problem of finding the feasible solution of a series of linear matrix inequalities, which can be solved by the LMI toolbox of MATLAB conveniently. The example shows the efficiency of the proposed method.
Keywords:Partial state feedback  PID  Steady-state output covariance  Sector region pole  Satisfactory control
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