Chattering in systems with inertial sensors: The singularly perturbed approach

被引:0
作者
Fridman, LM [1 ]
机构
[1] Chihuahua Inst Technol, Div Postgrad Study & Invest, Chihuahua 31310, Mexico
来源
NONLINEAR CONTROL SYSTEMS 2001, VOLS 1-3 | 2002年
关键词
sliding mode; chattering; singular perturbations; variable structure systems; inertial sensors;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The singularly perturbed relay control systems with second order sliding modes (SP2SM) axe considered for modeling of sliding mode control systems with inertial sensors. It is shown the asymptotically stable slow motions integral manifold of smooth singularly perturbed system, describing the motion of original SP2SM in the second order sliding domain, is the asymptotically stable slow motions integral manifold of original SP2SM. For sliding mode control systems with inertial sensors sufficient conditions for the exponential decreasing of the amplitude of chattering and unlimited growth of frequency axe found. Formula for asymptotic representation of "ideal" switching surface oscillations is suggested for sliding mode systems with inertial sensors. Copyright (C) 2001 IFAC.
引用
收藏
页码:599 / 604
页数:6
相关论文
共 7 条
  • [1] ANOSOV DV, 1959, AUTOMATICA TELEMECHA, V10, P135
  • [2] BONDAREV AG, 1985, AUTOMAT REM CONTR+, V46, P679
  • [3] Filippov A.F., 1988, MATH ITS APPL SOVIET, V18
  • [4] Fridman L, 1999, LECT NOTES CONTR INF, V247, P363
  • [5] Utkin V. I., 1992, SLIDING MODES CONTRO
  • [6] VASILEVA AB, 1995, BOUNDARY LAYER METHO
  • [7] [No title captured]