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基于全状态线性化的非线性系统扰动抑制
引用本文:雷靖,刘云飞,郑茂垡,王刚. 基于全状态线性化的非线性系统扰动抑制[J]. 云南民族大学学报(自然科学版), 2012, 21(3): 220-225
作者姓名:雷靖  刘云飞  郑茂垡  王刚
作者单位:1. 云南民族大学数学与计算机科学学院,云南昆明650500;云南省软件工程重点实验室,云南昆明650091
2. 云南民族大学数学与计算机科学学院,云南昆明,650500
基金项目:云南省自然科学基金,云南省软件工程重点实验室开放基金
摘    要:研究在持续外界扰动作用下非线性系统的扰动抑制问题.运用全状态线性化原理设计非线性扰动抑制控制律,利用其中的非线性控制抵消了开环非线性.对转换后的线性系统设计最优扰动抑制控制律,其中的前馈控制补偿了扰动对系统的影响.仿真示例验证了所设计的控制律能够有效地实现非线性系统的扰动抑制.

关 键 词:非线性系统  全状态线性化  扰动抑制  最优控制

Disturbance Rejection for Nonlinear Systems via Full- State Linearization
LEI Jing , LIU Yun-fei , ZHENG Mao-fa , WANG Gang. Disturbance Rejection for Nonlinear Systems via Full- State Linearization[J]. Journal of Yunnan Nationalities University:Natural Sciences Edition, 2012, 21(3): 220-225
Authors:LEI Jing    LIU Yun-fei    ZHENG Mao-fa    WANG Gang
Affiliation:1(1.School of Mathematics and Computer Science,Yunnan University of Nationalities,Kunming 650500,China; 2.Key Laboratory in Software Engineering of Yunnan Province,Kunming 650091,China)
Abstract:The disturbance rejection problem for nonlinear systems under external persistent disturbances is considered.Based on the principle of full-state linearization,the nonlinear disturbance rejection control law is designed in which the nonlinear control term cancels the open-loop nonlinearity.The optimal disturbance rejection control law is designed for the linearized system,in which the feedforward term compensates for the effect produced by the disturbance.Simulation examples demonstrate the designed controller can suppress the disturbance effectively suffered by the nonlinear system.
Keywords:nonlinear systems  full-state linearization  disturbance rejection  optimal control
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