期刊文献+

时滞正系统静态输出反馈稳定的可解性

Solvability of Static Output-feedback Stabilization for Discrete-time Positive Systems with Time-delay
下载PDF
导出
摘要 讨论了离散时间时滞正系统的稳定性问题,首先给出一个充要条件,设计一个静态输出反馈控制器使得闭环系统是正的而且是渐进稳定的,这个充要条件可以通过线性规划(LP)的形式解出来,这种方法在单输入单输出系统中是完全可解的;其次,讨论了系统的时滞项如果是非线性时系统静态输出反馈稳定的可解性并给出充分条件. This paper discusses stabilization of discrete-time positive system with delay. Firstly, necessary and sufficient condition is given by linear programming and a static output-feedback controller to make the closed-loop system positive and asymptotic stable, which is completely solvable in single-input and single-output positive system. Secondly, this paper researches solvability of static output-feedback stabilization for the system and gives necessary and sufficient conditions.
作者 黄丽琼
出处 《重庆工商大学学报(自然科学版)》 2015年第3期16-20,共5页 Journal of Chongqing Technology and Business University:Natural Science Edition
关键词 正系统 时滞系统 稳定性 静态输出反馈 positive, system with delay, stability, static output-feedback.
  • 相关文献

参考文献16

  • 1ANDERSON D H. Compartmental Modeling and Tracer Kinetics[ M]. Berlin: Springer, 1983.
  • 2BELLMAN R. Introduction to Matrix Analysis[ M ]. New York: McGraw-Hill, 1970.
  • 3BERMAN A, Plemmons R J. Nonnegative Matrices in the Mathematical Sciences [ M ]. New York: Academic Press, 1979.
  • 4BERNSTEIN D S, HYLAND D C. Compartmental Modeling and Second-moment Analysis of State Space Systems [ J ]. SIAM J Matrix Anal, 1993, 14 (4) :880-901.
  • 5CAMPBELL S A, BELIR J. Multiple-delayed Diqerential Equations as Models for Biological Control Systems [ C ]. Proceedings of the World Mathematical Conference, 1993,3110 - 3117.
  • 6GODFREY K. Compartmental Models and Their Applications, Academic Press[M ]. New York: 1983.
  • 7HADDAD M, CHELLABOINA V S. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay [ C ]. American Control Conference, 2004.
  • 8BUSLOWICZ M. Simple Stability Condition for Positive Diserite-time Systems with Delay [ J ]. Bull Pol Ac Tech, 2008,3 (2) : 325-328.
  • 9FARINA L, RINALDI S. Theory and Applications [ M ]. New York : Wiley, 2000.
  • 10KACZOREK T. Positive 1D and 2D Systems[ M]. Springer-Verlag: 2002.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部