高阶线性时滞控制系统的部分极点配置问题  

PARTICAL POLE ASSIGNMENT PROBLEM OF HIGH ORDER LINEAR CONTROL SYSTEMS WITH TIME DELAY

作　　者：孙冲 Sun Chong(School of Mathematical Sciences, University of Science and Technology of China,Hefei 230026)

机构地区：[1]中国科学技术大学数学科学学院,合肥230026

出　　处：《高等学校计算数学学报》2019年第1期27-44,共18页Numerical Mathematics A Journal of Chinese Universities

摘　　要：考虑高阶线性时滞控制系统Mkzk+Mk-1z(k-1)+…+M1z+M0z=Bu (t-τ),(1)其中Mj∈Rn×n(j=0,1,…,k)是系统的系数矩阵且Mk非奇异,B∈Rn×m是列满秩控制矩阵,τ∈R是状态反馈测量与控制之间的时滞,z(t)∈Rn是状态变量,u(t-τ)∈Rm是控制向量.当m=1时,称系统(1)为高阶线性时滞单输入控制系统;当m> 1时,称系统(1)为高阶线性时滞多输入控制系统.For the high order linear control systems with time delay, we consider the partial pole assignment problem of single-input control systems with time delay and propose a multi-step met hod for solving this problem with multi-inpu t control in which the unwanted eigenvalues are moved to desired values and all other eigenpairs remain unchanged. Ours method is easy to realize and need not use the receptance matrix or solve the Sylvester equation. For multi-input control systems, the defined feedback vectors only depend on the coefficient matrix of the original systems. Numerical experiment results show that the proposed algorithm is effective.

关 键 词：时滞控制系统 线性 高阶 极点配置 系数矩阵 控制矩阵 状态反馈 状态变量 

分 类 号：O241.6[理学—计算数学]