摘要
针对双容系统这一典型的非线性、多变量、时变的控制对象,为了提高系统跟踪性能,首先利用非线性微分几何理论中的输入-输出反馈线性化方法,即选择合适的系统输出,并对各分量连续求导直至其表达式中出现控制输入变量,当满足一定条件后通过一定的控制输入变量替换就可将系统全局线性化,进而可以利用成熟线性控制理论对得到的线性化子系统进行控制,从而实现闭环系统的指数稳定.仿真研究表明,所提方法是有效的,且设计的闭环系统具有良好的静、动态性能。
Based on input -output feedback linearization scheme using the theories of differential geometry, this paper proposed a water level control scheme for the two -tank system which is a typical nonlinear, multi -variables, time - varying system. First, differential operations of the outputs of the chosen system are carried on until control in- pu! appears in the expression. Then, overall linearization can be realized by input variable - substitution if some con- ditions are satisfied. At last, mature linear control theory is used to control the sub linear system stable. Simulation results show that the proposed control scheme is efficient and the system possesses good static, dynamic performanee..
出处
《计算机仿真》
CSCD
北大核心
2010年第4期367-370,共4页
Computer Simulation
基金
吉林省科技发展计划项目(200705C13)
吉林省教育厅"十一五"科学技术研究项目(2008179)
关键词
非线性系统
反馈线性化
双容系统
液位控制
仿真应用
Nonlinear system
Feedback linearization
Two - tank system
Water level control
Simulation applica- tions
