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一类有约束的分段线性系统双模预测控制
引用本文:曾锋,高东杰,李秀改.一类有约束的分段线性系统双模预测控制[J].控制与决策,2006,21(5):597-600.
作者姓名:曾锋  高东杰  李秀改
作者单位:1. 中国科学院,自动化研究所,北京,100080
2. 清华大学,自动化系,北京,100084
基金项目:中国科学院知识创新工程重大项目(KGCX-SW-15).
摘    要:研究分段线性(PL)系统预测控制问题,提出了PL系统双模预测控制,并证明了该方法的稳定性.该方法使用混合逻辑动态系统来建模PL系统,利用PL系统状态反馈控制来确定PL系统的受控不变集,并结合双模预测控制方法获得PL系统双模预测控制.该方法解决了系数矩阵的选择问题,不需要满足最终状态等式约束.一个分段线性系统的实例证明了该方法是可行的.

关 键 词:分段线性系统  混合逻辑动态  状态反馈  受控不变集  双模预测控制
文章编号:1001-0920(2006)05-0597-04
收稿时间:2005-02-28
修稿时间:2005-04-20

Dual-mode Model Predictive Control for a Class of Constrained Piecewise Linear Systems
ZENG Feng,GAO Dong-jie,LI Xiu-gai.Dual-mode Model Predictive Control for a Class of Constrained Piecewise Linear Systems[J].Control and Decision,2006,21(5):597-600.
Authors:ZENG Feng  GAO Dong-jie  LI Xiu-gai
Affiliation:1. Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China; 2. Department of Automation, Tsinghua University, Beijing 100084, China.
Abstract:Model predictive control for piecewise linear(PL) system is studied.A dual-model predictive control method for PL system is presented and its stability is proved.The tools employed in this method include modeling PL system by hybrid system based on mixed logical dynamic,using state feedback control to get controlled invariant set of PL system,and dual-mode predictive control.This method solves the problems of choosing coefficient matrices,and it does not need to satisfy a terminal state equality constraint.A PL system example shows that the method is valid and feasible.
Keywords:Piecewise linear system  Mixed logic dynamic  State feedback  Controlled invariant set  Dual-mode predictive control
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