一类稳定的连续时间广义预测控制

刘芳;刘晓华

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (2) : 191-197.

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系统科学与数学 ›› 2009, Vol. 29 ›› Issue (2) : 191-197. DOI: 10.12341/jssms10089
论文

一类稳定的连续时间广义预测控制

    刘芳(1), 刘晓华(2)
作者信息 +

A Stable Continuous-Time Generalized Predictive Control

    LIU Fang(1), LIU Xiaohua(2)
Author information +
文章历史 +

摘要

引入无穷时域的1-范数性能指标,通过施加新的终端等式约束确定出无穷时域性能指标的一个上界,
将不可解的优化问题转化为可解的优化问题,从而提出保证连续时间广义预测控制闭环稳定性的准无穷时域方法.
仿真例子证明了算法的有效性.

Abstract

The closed-loop stability of the continuous-time generalized
predictive control is considered, by using the infinite horizon control. The 1-norm cost function with infinite horizon is
imported. By inflicting the new end-point equality constraints, an upper bound of the cost function
with infinite horizon is given, and the unsolvable optimal problem can be transformed into a solvable optimal problem. Then
the quasi-infinite horizon approach which can guarantee the closed loop stability of generalized predictive control
is presented. Simulation result shows the validity of the proposed control.

关键词

连续时间系统 / 广义预测控制 / 准无穷时域 / 1-范数性能指标 / 稳定性.

Key words

Continuous-time system / generalized predictive control / quasi-infinite horizon / 1-norm cost function / stability.

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刘芳 , 刘晓华. 一类稳定的连续时间广义预测控制. 系统科学与数学, 2009, 29(2): 191-197. https://doi.org/10.12341/jssms10089
LIU Fang , LIU Xiaohua. A Stable Continuous-Time Generalized Predictive Control. Journal of Systems Science and Mathematical Sciences, 2009, 29(2): 191-197 https://doi.org/10.12341/jssms10089
中图分类号： 93C40   
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