摘要
将被控对象设定成线性部分和非线性部分 ,提出了一种广义非线性系统模型跟踪控制的新方法 ,给出了非线性代数约束方程中包含控制输入时闭环系统具有唯一解的条件 ,证明了当非线性项满足范数条件以及相关的传递函数满足正实条件时 ,闭环系统的所有变量都是有界的 .该方法可处理代数约束为非线性 ,用状态空间方程无法描述的被控对象 .
This paper considers the problem of model following control for a class of nonlinear descriptor systems which are composed by linear part and nonlinear part. By dealing with the two parts separately, a method of constructing the feedback law which can achieve model following is proposed. This paper also provides the following results: (1) A necessary condition is presented for the uniqueness of the states of closed loop system whose nonlinear algebraic equation contains control input. (2) If the norm of nonlinear part satisfies some condition and the related transfer function is positive real, then the stats are boundedness. This method is also suitable to those systems whose algebraic restraint is nonlinear. Simulation is given to show the effectiveness of this method.
出处
《自动化学报》
EI
CSCD
北大核心
2001年第1期1-8,共8页
Acta Automatica Sinica
基金
国家教委留学回国人员和博士后基金资助
关键词
广义非线性系统
模型跟踪控制
状态有界性
稳定性
Nonlinear descriptor systems,model following control,boundedness of states,uniqueness of the solution,algebraic equation.
