基于输出反馈的不确定连续系统的鲁棒预测控制

韩春艳, 刘晓华

韩春艳, 刘晓华. 基于输出反馈的不确定连续系统的鲁棒预测控制[J]. 信息与控制, 2006, 35(6): 721-725,731.
引用本文: 韩春艳, 刘晓华. 基于输出反馈的不确定连续系统的鲁棒预测控制[J]. 信息与控制, 2006, 35(6): 721-725,731.
HAN Chun-yan, LIU Xiao-hua. Robust Predictive Control for Uncertain Continuous-time System Based on Output Feedback[J]. INFORMATION AND CONTROL, 2006, 35(6): 721-725,731.
Citation: HAN Chun-yan, LIU Xiao-hua. Robust Predictive Control for Uncertain Continuous-time System Based on Output Feedback[J]. INFORMATION AND CONTROL, 2006, 35(6): 721-725,731.

基于输出反馈的不确定连续系统的鲁棒预测控制

基金项目: 山东省自然科学基金资助项目(Y2005G01)
详细信息
    作者简介:

    韩春艳(1980- ),女,博士生.研究领域为鲁棒预测控制.
    刘晓华(1959- ),男,教授.研究领域为自适应控制,预测控制.

  • 中图分类号: TP273

Robust Predictive Control for Uncertain Continuous-time System Based on Output Feedback

  • 摘要: 运用线性矩阵不等式方法,研究一类基于输出反馈的线性连续时间范数有界参数不确定系统的鲁棒预测控制问题.基于变量变换的思想,将无限时域“最小—最大”优化问题转化为线性规划问题,得出分段连续的输出反馈控制律,并给出了控制律存在的充分条件,证明了优化问题在初始时刻的可行解保证闭环系统渐近稳定.仿真实例验证了此方法的有效性.
    Abstract: An output feedback based robust predictive control algorithm for linear continuous-time systems with norm-bounded parameter uncertainties is presented by linear matrix inequality formulation.Based on the idea of variable transformation,the infinite time domain "min-max" optimization problems are converted into linear programming problems,a piecewise continuous output feedback control law is obtained and the sufficient conditions for the exis-(tence) of this control law are given.It is proved that the robust stability of the closed-loop systems is guaranteed by the initial feasible solutions of the optimization problems.A simulation example illustrates the efficiency of this method.
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出版历程
  • 收稿日期:  2005-09-07
  • 发布日期:  2006-12-19

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