基于终端不变集的Maurkov跳变系统约束预测控制  

Constrained Predictive Control of Markov Jump Linear Systems Based on Terminal Invariant Sets

作　　者：刘飞[1] 蔡胤[1] 

机构地区：[1]江南大学自动化研究所,无锡214122

出　　处：《自动化学报》2008年第4期496-499,共4页Acta Automatica Sinica

基　　金：国家自然科学基金(60574001);新世纪优秀人才支持计划(NCET-05-0485)资助

摘　　要：针对离散Markov跳变系统,研究带输入输出约束的有限时域预测控制问题.对于给定预测时域内的每条模态轨迹,设计控制输入序列,驱动系统状态到达相应的终端不变集内,在预测时域外,则寻求一个虚拟的状态反馈控制器以保证系统的随机稳定性,在此基础上,分别给出了以线性矩阵不等式(LMI)描述的带输入、输出约束预测控制器的设计方法.In this paper, the receding horizon control （RHC） problem is considered for discrete time Markov jump linear systems, subject to constraints on control inputs and observed outputs. In given receding horizon, for every mode trajectory, control inputs sequence is designed to drive the state trajectory into a terminal invariant set. The invariant set depends on the existence of a fictitious state feedback control law, which guarantees stochastic stability of jump system out of the receding horizon. Based on such stability analysis, a linear matrix inequality approach for designing receding horizon controller subject to input and output constraints is developed.

关 键 词：MARKOV跳变系统 约束控制 滚动时域控制 终端不变集 正半定规划 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]