非线性MIMO系统线性化解耦的一种新方法(Ⅰ)——连续时间系统  

Novel Method for Decoupling Nonlinear MIMO System with Linearization (Ⅰ)——Continuous-time System

作　　者：戴先中[1] 何丹[1] 张腾[1] 肖仁良[1] 

机构地区：[1]东南大学自动控制系,南京210096

出　　处：《控制与决策》1999年第5期403-406,412,共5页Control and Decision

基　　金：国家自然科学基金;江苏省自然科学基金

摘　　要：给出用神经网络（ Ｎ Ｎ）α阶积分逆系统实现连续非线性 Ｍ Ｉ Ｍ Ｏ 系统线性化解耦的方法。 Ｎ Ｎα阶积分逆系统由一个静态神经网络加若干积分器构成，将其串联在原系统之前，原系统则解耦成若干个相互无关的 Ｓ Ｉ Ｓ Ｏ 伪线性积分系统。理论分析与仿真结果表明，对于精确模型未知的较一般的非线性 Ｍ Ｉ Ｍ Ｏ 系统，所给出的方法均能实现有效的线性化解耦，且结构简单，易于工程实现。A new dynamic neural network construction named NN α -th order integral inverse system is presented to decouple nonlinear MIMO continuous-time system with linearization. The NN α -th order integral inverse system consists of a single static NN and several integrators. Connecting it directly with the original nonlinear MIMO system, one can decouple and linearize the nonlinear coupled system into a number of independent pseudo linear SISO systems. Both the theoretical analysis and simulation results show that this decoupling method is effectiveness for a general class of nonlinear MIMOcontinuoussystemeven if the system′s mathematical model is unknown. Besides, construction of NN α- th order integral inverse system is simple for easy implementation.

关 键 词：MIMO 非线性系统 线性化 解耦 连续时间系统 

分 类 号：O231[理学—运筹学与控制论] TP271[理学—数学]