摘要
利用几何方法 ,从广义非线性系统本身出发 ,研究了广义非线性控制系统的变结构控制理论 ,给出了系统存在变结构控制的充分条件及实际滑动模的近似定理 .从所得结论可知 ,滑动条件仅能保证实际滑动模的慢变状态趋近于理想滑动模的慢变状态 ,而不能保证实际滑动模的快变状态趋近于理想滑动模的快变状态 ,研究正常非线性系统的方法已不能简单地被利用到广义非线性系统 .
The theory of variable structure control of singular nonlinear control systems was considered based on the singular nonlinear systems itself by employing the method of geography,and gives the sufficient condition of existence of variable structure control and approximation theory of real sliding mode.It is shown that sliding condition only guarantee the slow varying state of real sliding mode approach that of ideal sliding mode but not guarantee the fast varying state of real sliding mode approach that of ideal sliding mode.The method applied for studying normal nonlinear system can not be used directely to singular nonlinear system.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1999年第1期87-90,共4页
Control Theory & Applications
基金
中国博士后基金资助项目
关键词
广义非线性系统
变结构控制
相关度
控制理论
singular nonlinear systems
variable structure control
relative degree
