DIFFERENCE EQUATION MODELING OF A VARIABLE-STRUCTURE SYSTEM

被引:5
作者
POTTS, RB [1 ]
YU, XH [1 ]
机构
[1] UNIV CENT QUEENSLAND,DEPT MATH & COMP,ROCKHAMPTON,QLD 4702,AUSTRALIA
关键词
DIFFERENCE EQUATIONS; VARIABLE STRUCTURE SYSTEMS; DISCRETE SYSTEMS; 2-DIMENSIONAL SYSTEMS; PSEUDO-SLIDING MODES;
D O I
10.1016/0898-1221(94)00116-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Variable structure systems with sliding modes have been widely discussed and used in many different fields of applications. The precise behaviour at a switching surface is complicated because there the system is nonanalytic. A two-dimensional variable structure system is analysed in detail using a special discretisation with a difference equation model which is best in a particular sense. This reveals the occurrence and structure of discrete pseudo-sliding modes, which give insight to the corresponding sliding modes for the continuous system. Necessary.and sufficient conditions are obtained for the occurrence of the pseudo-sliding modes and the analysis illustrated with graphs from numerical solutions.
引用
收藏
页码:281 / 289
页数:9
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