非线性前馈系统递归前步松弛算法  

Recursive Forwarding Relaxed Algorithm for Nonlinear Feedforward System

作　　者：李焕玲[1] 李俊领[1] 解学军[1] 

机构地区：[1]曲阜师范大学自动化研究所,山东曲阜273165

出　　处：《菏泽学院学报》2009年第2期6-11,25,共7页Journal of Heze University

基　　金：国家自然科学基金资助项目(60774010)

摘　　要：松弛构造法构造级联系统的复合李雅普诺夫函数,在求交叉项时,可避免遇到复杂的积分运算,也不用求出系统解的具体形式,而仅需计算一些简单的代数方程就可求出复合李雅普诺夫函数.在已有的含松弛交叉项的复合李雅普诺夫函数构造方法的基础上,利用非线性前馈系统的递归前步方法,把松弛构造法推广到多步,从而使该方法适用于更广的前馈系统.The composite Lyapunov function of the cascade systems, established by the Recursive forwarding relaxed algorithm, can avoid complex calculation in seeking the crossing term, and does not need the explicit solution of the systems, it can be only obtained by solving some simple algebraic equations. Based on the construction of the Lyapunov function with relaxed cross - term in existence, by using the basic recursive forwarding, the con- struction is extended by reapplying it step by step, by augmenting the subsystem, which enlarges the applied range for the nonlinear feedforward systems.

关 键 词：非线性 前馈系统 递归前步 松弛算法 

分 类 号：O231.2[理学—运筹学与控制论] TP273.2[理学—数学]