一般目标信号和干扰信号下多采样率系统的最优预见控制器设计  

Design of an optimal preview controller for multirate systems with general previewable signal

作　　者：刘贺平[1] 廖福成[2] 

机构地区：[1]北京科技大学信息工程学院,北京100083 [2]北京科技大学应用科学学院,北京100083

出　　处：《纯粹数学与应用数学》2008年第4期634-642,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(10671011)

摘　　要：针对目标信号和干扰信号为多项式的情形,研究了多采样率离散时间控制系统的最优预见控制问题.首先利用离散时间系统提升技术,把所研究的系统转化成单采样率的扩大系统.然后构造扩大误差系统,把问题转化为包含预见信号的最优调节问题.最后利用最优预见控制理论的结果得到系统的最优预见控制输入,其中包含积分器和预见前馈补偿.本文还对扩大误差系统的能控性和能观测性和相应的代数Riccati方程的可解性进行了讨论.The optimal preview control problem for multirate discrete-time systems subject to polynomial previewable desired output and polynomial previewable disturbance signal are discussed. By using method of lifting technique, the multirate preview control problem can be reduced to the single-rate one for a certain augmented system. Then using the method of error systems, we changed the problem into a standard linear regulator problem. By the standard LQ optimal preview control theory, we obtained the desired preview controller with intgral. We also designed a state observer for considered system. The stabilizable and detectable of the error system and solvability of algebraic Riccati equation is discussed too.

关 键 词：预见控制 最优控制 代数RICCATI方程 伺服系统 多采样率数字控制系统 

分 类 号：O232[理学—运筹学与控制论] TP273[理学—数学]