Robust finite-time H control of stochastic jump systems

Technical Notes and Correspondence

DOI: 10.1007/s12555-010-0620-y

Cite this article as:
He, SP. & Liu, F. Int. J. Control Autom. Syst. (2010) 8: 1336. doi:10.1007/s12555-010-0620-y

Abstract

This paper provides the stochastic finite-time stabilization and H control problem of Markov jump systems with norm-bounded uncertainties and state delays that possess randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. The finite-time H controller via state feedback is provided to guarantee the stochastic finite-time bounded-ness and stochastic finite-time stabilization of the resulting closed-loop system for all admissible uncertainties and unknown time-delays. The control criterion is formulated in the form of linear matrix inequalities and the designed finite-time stabilization controller is described as an optimization one. Simulation results illustrate the effectiveness of the developed approaches.

Keywords

Finite-time H controller linear matrix inequalities Markov jump systems stochastic finite-time boundedness stochastic finite-time stabilization time-delays 

Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Institute of AutomationJiangnan UniversityWuxiP. R. China

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