期刊文献+

基于切换表面状态划分的倒立摆模型验证 被引量:1

Verification of Inverted Pendulum's Model Based on State Partition of Switching Surface
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摘要 针对仿真对不存在或难以寻找的问题 ,利用商迁移系统 ,给出了混合系统的验证过程 .结合倒立摆模型给出的只对状态空间切换表面进行离散化的空间划分方法 ,相对于常规验证所采用的离散整个连续状态空间的方法 ,降低了系统分析的维数 .提出将阈值切换面分为两类 ,明确了切换面的划分方式 . For the problem of bisimulation's none existence of hard search, this paper presents a verification procedure by means of quotient transition system. Using space partition method, it discreted the continuous state space only at its switching surface. Compared with general verification methods discreting the whole state space, the proposed method reduces analytical dimension. The verification procedure was illustrated by the hybrid model of inverted pendulum. Two kinds of switching surfaces were put forward to give a deep research into threshold switching method, which points out the partition mode of switching surfaces.
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 2001年第2期293-296,共4页 Journal of Shanghai Jiaotong University
关键词 混合系统 形式验证 商迁移系统 空间划分 自动化设备 Control theory Finite difference method Pendulums Switching Threshold logic
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参考文献5

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同被引文献12

  • 1陈松林,姚郁,张瑞.线性切换系统基于观测器的切换镇定[J].吉林大学学报(工学版),2006,36(1):87-91. 被引量:2
  • 2张颖,段广仁,贺亮.一类含有时滞的离散切换系统鲁棒稳定性分析[J].吉林大学学报(工学版),2006,36(5):740-744. 被引量:2
  • 3宋政一,赵军.不确定时滞线性离散切换系统的鲁棒H_∞控制[J].自动化学报,2006,32(5):760-766. 被引量:12
  • 4Liberzon D, Morse A S. Basic problems in stability and design of switched systems [J]. IEEE Control System Magazine, 1999,19 : 59-70.
  • 5Pettersson S. Synthesis of switched linear system[C] //Proceeding of the 42th IEEE Conference on Decision and Control, Maul, Hawil, USA,2003.
  • 6Branicky M S. Multiple Lyapunov function and other analysis tools for switched and hybrid systems[J]. IEEE Transactions on Automatic Control, 1998, 43 (4) :475-482.
  • 7Kothare V, Morari M. Robust constrained model predictive control using linear matrix inequalities [J]. Automatica, 1996,32 (10) : 1361-1379.
  • 8Bemporad A,Morari M. Control of systems integra ting logic, dynamics, and constraints [J]. Automatica, 1999,35(3) :407-427.
  • 9Ozkan L,Kothare M V. Stability analysis of a multimodel predictive control algorithm with application to control of chemical reactors [J ]. Journal of Process Control,2006,16 : 81-90.
  • 10Grieder P, Kvasnica M, Baotic M, et al. Stabilizing low complexity feedback control of constrained piecewise affine systems [J. Automatica, 2005 (4) : 1683-1694.

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