一种基于边界特征的简易非线性二阶离散跟踪微分器的设计  

Design of simple discrete second-order nonlinear tracking-differeniator based on boundary characteristic curves

作　　者：谢云德[1,2] 李晓龙[2] 佘龙华[1,2] 窦峰山[2] 戴春辉[2] 

机构地区：[1]北京控股磁悬浮技术发展有限公司,北京100124 [2]国防科技大学机电工程与自动化学院,长沙410073

出　　处：《控制与决策》2014年第6期1120-1124,共5页Control and Decision

基　　金：国家自然科学基金项目(11202230;60974128;11302252)

摘　　要：用等时区方法确定最速离散二阶系统的线性区域的边界,以开关曲线和边界线来界定控制量的线性变化,区分可达区和线性区,得到最速系统综合函数,并依此构造线性函数形式的跟踪微分器.仿真结果表明,所提出的跟踪微分器具有快速跟踪输入信号、无颤振、无超调的特点,能得到较好的微分信号,算法简洁实用.The boundary characteristic curve of linear regions with the second-order discrete time optimal control is presented by means of the isochronous region. Then the control variable is linearized, which is decided by the switching curve and the boundary curve, and the reachable region and the boundary region are given. The linear synthetic functions are obtained. Based on this function, the discrete form of tracking-differentiator is constructed. Numerical simulation shows that, this discrete form of tracking-differentiator can quickly track an input signal without overshooting and chattering, and can acquire an excellent differential signal. It is simple and practical.

关 键 词：跟踪微分器 离散系统 线性边界 最速控制 综合函数 可达区 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]