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.
出处
《纯粹数学与应用数学》
CSCD
北大核心
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)
