基于微分几何方法的一种非线性控制器设计与仿真  

Design and simulation of a controller for nonlinear system based on differential geometry theory

作　　者：桑建明[1] 王亮[1] 蒯彪[1] 张世峰[1] 

机构地区：[1]安徽工业大学电气信息学院,马鞍山243002

出　　处：《信息技术》2009年第5期51-53,57,共4页Information Technology

摘　　要：以微分几何方法为工具,针对输出变量关系为隐式函数且具有未知时变参数的非线性多变量系统,在相对阶次为1的情况下,设计了一种解耦线性化控制器与非线性比例积分微分(PID)控制器构成的复合控制方案并给出了控制系统的稳定性分析。仿真研究表明控制系统具有满意的动态特性和较强的鲁棒性。By taking the method of differential geometry as a tool, a new design is proposed in this paper, aiming at the features that the relationship of output variables is implicit functions with unknown time-varying parameters and the system is nonlinear multivariable. This paper presents a method of adaptive decoupling- linearization and nonlinear PID-controller for a nonlinear MIMO process, whose relative order is equal to one. This method is proved to be applicable to the nonlinear system with implicit outputs. The simulation results showed that closed-loop control system can give satisfactory performance and good robustness.

关 键 词：微分几何 非线性系统 解耦线性化 PID控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]