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一般双线性比例-微分变结构系统的控制及其稳定性
引用本文:郭天石. 一般双线性比例-微分变结构系统的控制及其稳定性[J]. 四川理工学院学报(自然科学版), 1997, 0(2)
作者姓名:郭天石
作者单位:四川轻化工学院机械工程系!自贡,643033
摘    要:
研究了一般多输入双线性系统的比例一微分变结构控制,引入排序截尾算子Ωn使控制与状态变量中前m个绝对值较大的分量及其导数成比例,实现用m个控制量对周m≤n)个被控童的控制。得出了这类系统的稳定性条件。给出了这种控制策略的结构图。

关 键 词:双线性比例一微分变结构系统  李亚普诺夫方法  稳定性  排序截尾算子

CONTROL AND STABlLITY OF VARIABLE STRUCTURE SYSTEM WITH GENERALIZED BILINEAR PROPORT ION-DIFFERENTIATION
Guo Tianshi. CONTROL AND STABlLITY OF VARIABLE STRUCTURE SYSTEM WITH GENERALIZED BILINEAR PROPORT ION-DIFFERENTIATION[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 1997, 0(2)
Authors:Guo Tianshi
Affiliation:Dept. of Mech. Eng. Sichuan Institute of Light Ind. & Chem. Tech. Zigong 643033
Abstract:
The control of variablw structure with ganeralized bilinear proportiondifferentiation is studied. The ordering-truncating operator Ωm. is introduced to let the former m of components of tate variables that absolute is larger in control and be proportional to the components and their deviations and carry out the m of components toEontrol the n of ones (m≤n). The stable condition of the system is obtained and the ctructure diagram to generate control is plotted as well.
Keywords:bilinear proportion-differentiation variable structure system;Lyapunov method   stability   cylclic recurrence control  ordering-truncating operator
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