International Journal of Control, Automation and Systems

, Volume 9, Issue 3, pp 437–441

Delay-dependent H control for jumping delayed systems with two Markov processes

  • Hao Shen
  • Yuming Chu
  • Shengyuan Xu
  • Zhengqiang Zhang
Regular Papers Control Theory

DOI: 10.1007/s12555-011-0302-4

Cite this article as:
Shen, H., Chu, Y., Xu, S. et al. Int. J. Control Autom. Syst. (2011) 9: 437. doi:10.1007/s12555-011-0302-4

Abstract

This paper addresses the H control problem for jumping delayed systems with two separable Markov processes. The objective is to design a controller such that the resulting closed-loop system is exponentially mean-square stable with a given decay rate and satisfies a prescribed H performance level. A decay-rate-dependent condition is obtained for the existence of admissible controllers in term of linear matrix inequalities. Two numerical examples are presented to demonstrate the effectiveness of the proposed method.

Keywords

Exponential stabilityH controljumping delayed systemsMarkov processes

Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Hao Shen
    • 1
    • 2
  • Yuming Chu
    • 3
  • Shengyuan Xu
    • 1
  • Zhengqiang Zhang
    • 1
  1. 1.School of AutomationNanjing University of Science and TechnologyNanjingChina
  2. 2.School of Electrical Engineering & InformationAnhui University of TechnologyMa’anshanChina
  3. 3.School of ScienceHuzhou Teachers CollegeHuzhouChina