二阶动力学系统部分特征结构配置设计的完全参数化方法  

Design of eigenstructure assignment in a class of second-order dynamic systems: a complete parametric method

作　　者：王国胜[1] 易良海[2] 吕强[1] 

机构地区：[1]装甲兵工程学院控制工程系,北京100072 [2]装甲兵工程学院数学室,北京100072

出　　处：《黑龙江大学自然科学学报》2005年第6期737-742,共6页Journal of Natural Science of Heilongjiang University

摘　　要：考虑了一类二阶动力学系统的部分特征结构配置问题,其目的是设计比例加微分状态反馈律,该控制律只配置开环系统的部分特征值及其特征向量,而保持其余特征值及其特征向量不变.在可控条件下,给出了状态反馈增益阵和闭环系统部分特征向量矩阵的一种简单、完全参数化表达式,其所含自由参数向量和待配置的特征值均可看作该方法提供的设计自由度.该参数化方法直接基于原系统矩阵,故其简单性为系统设计提供了便利.数值例子表明了所提部分特征结构配置参数化方法的有效性.Partial eigenstructure assignment in a class of second - order dynamic systems is investigated. The problem is to design a proportional - plus - derivative state feedback, which only changes part of the open - loop eigenvalues and their corresponding eigenvectors, while leaving the rest unchanged. Under certain conditions, simple and complete parametric expressions of the state feedback gain matrices and the partial eigenveetor matrices are developed. These expressions offer all the design degrees of freedom that are represented by a group of free parametric vectors and the assigned closed - loop eigenvalues. The parametric method utilizes directly the original system data, and is thus simple and offers more convenience in control system designs. A numerical example shows the effect of the proposed parametric method.

关 键 词：二阶动力学系统 部分特征结构配置 反馈控制 参数化方法 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]