非线性协调控制系统状态方程的级数解  

Series Solution of the State Equation for Nonlinear Harmonic Control Systems

作　　者：曹少中[1] 李旸[1] 

机构地区：[1]北京印刷学院信息与机电工程学院

出　　处：《电子学报》2010年第B02期41-44,共4页Acta Electronica Sinica

基　　金：北京市自然科学基金(No.4092013);北京市属高等学校人才强教计划(No.TXM2007-014223-044661);北京市教委科技面上项目(No.KM200810015003);北京印刷学院引进人才(No.09170107019),北京印刷学院科技重点项目

摘　　要：针对非线性系统，为了合理利用变量间的有益耦合、消除有害的关联，提出了具有扰动补偿的非线性协调控制原则.根据控制原则，建立了非线性协调控制系统的状态方程，基于该方程导出了对于外界扰动的完全补偿条件，进而给出了完全补偿协调控制系统非线性状态方程.采用直接试探法，求得了该方程的任意阶级数解析解，这是一种有效的非线性系统状态方程的近似求解方法.To a nonlinear control system, in order to utilize the useful couple between variables, and remove the harmful con- nection, the roles of harmonic control for nonlinear systems with disturbance compensation are given. According to the control rtrles, the state equation of harmonic conlrol for nonlinear systems is established. Based on the equation, the full compensation condition e- liminating extraneous disturbanee,is given; and the state equation of nonlinear harmonic control systems, with fitll disturbance com- pensation,is obtained.By utilizing direct heuristic method,the any order approximate series solution of the equation can be obtained, this is a kind of useful approximate solving method of state equation for nonlinear systems.

关 键 词：非线性协调控制 状态方程 级数解 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]