6533b851fe1ef96bd12a9691

RESEARCH PRODUCT

A passivity approach to control of Markovian jump systems with mixed time-varying delays

Hamid Reza KarimiBaharak MakkiBahador Makki

subject

Mathematical optimizationExponential growthExponential stabilityControl theoryConvex optimizationPassivityLinear matrix inequalityFunction (mathematics)Stability (probability)Mathematics

description

This paper investigated the problem of control design for a class of stochastic systems with Markovian jump parameters and time-varying delays. For the model under consideration, a passivity-based approach is introduced for designing mode-dependent output feedback controllers with mixed discrete and distributed delays. A Lypunov-Krasovskii function (LKF) is defined to establish new required sufficient conditions for ensuring exponentially mean-square stability and the passivity criteria, simultaneously. Moreover, controller gains are calculated based on a convex optimization method by solving a Linear Matrix Inequality (LMI). Finally, simulation results are provided to illustrate the effectiveness of our approach.

yearjournalcountryeditionlanguage
2013-10-012013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)
https://doi.org/10.1109/icat.2013.6684057