Finite-time control for discrete-time Markovian jump systems with deterministic switching and time-delay

Regular Papers Control Theory

Abstract

In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic switches and stochastic jumps. First, the stochastic finite-time boundedness (SFTB) and l2 gain analysis for the systems are studied by employing the average dwell time (ADT) approach. Note that a finite-time weighted l2 gain is obtained to measure the disturbance attenuation level. Then, the mode-dependent and variation-dependent controller is designed such that the resulting closed-loop systems are stochastically finite-time bounded and have a guaranteed disturbance attenuation level. Finally, a numerical example is given to verify the potential of the developed results.

Keywords

Average dwell time finite-time boundedness finite-time weighted l2 gain switching dynamics Markovian jump linear system 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things EngineeringJiangnan UniversityWuxiP. R. China
  2. 2.Department of Electrical and Computer EngineeringUniversity of AucklandAucklandNew Zealand

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