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不确定离散时滞系统的输出反馈鲁棒预测控制
引用本文:陈秋霞,俞立.不确定离散时滞系统的输出反馈鲁棒预测控制[J].控制理论与应用,2007,24(3):401-406.
作者姓名:陈秋霞  俞立
作者单位:浙江工业大学,信息工程学院,浙江,杭州,310032
基金项目:国家自然科学基金资助项目(60274034, 60525304); 国家高技术研究发展计划(863计划)资助项目(2006AA04Z178).
摘    要:对一类输入输出受限的不确定离散时滞系统,研究了使得闭环系统渐近稳定且滚动时域性能指标在线最小化的鲁棒预测输出反馈控制器设计问题.基于预测控制的滚动优化原理,给出了输出反馈控制器存在的充分条件.采用锥补线性化思想将控制器的设计转化为一个受线性矩阵不等式(LMI)约束的非线性规划问题,并利用该线性矩阵不等式的可行解给出了输出反馈控制器的构造方法.最后通过仿真验证了该方法的有效性.

关 键 词:鲁棒预测控制  不确定系统  离散时滞系统  输出反馈  LMI
文章编号:1000-8152(2007)03-0401-06
收稿时间:2005/8/10 0:00:00
修稿时间:2005-08-102006-02-23

Robust model predictive control for uncertain discrete time-delay systems via dynamic output feedback
CHEN Qiu-xi,YU Li.Robust model predictive control for uncertain discrete time-delay systems via dynamic output feedback[J].Control Theory & Applications,2007,24(3):401-406.
Authors:CHEN Qiu-xi  YU Li
Affiliation:College of Information Engineering, Zhejiang University of Technology, Zhejiang Hangzhou 310032, China
Abstract:The design problem of robust output feedback model predictive controllers is considered which guarantees that the closed-loop system is asymptotically stable and an on-line receding horizon guaranteed cost is minimized for a class of uncertain discrete time-delay systems with I/O constrains.Firstly,the condition for the existence of the output feedback controller is derived by using the receding optimization.The complementary linearization idea is then employed to convert the controller design into a nonlinear programming problem with linear matrix inequality constraints,and a construction of the desired controllers is also provided in terms of feasible solutions to the LMIs.Finally,the simulation results illustrate the effectiveness of the proposed methods.
Keywords:robust predictive control  uncertain systems  discrete time-delay systems  output feedback  LMI
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