6533b858fe1ef96bd12b6163

RESEARCH PRODUCT

Notice of Violation of IEEE Publication Principles: Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters

Hamid Reza Karimi

subject

Time delaysMarkov processDelay dependentsymbols.namesakeHardware and ArchitectureRobustness (computer science)Control theoryConvex optimizationsymbolsElectrical and Electronic EngineeringRobust controlMarkovian switchingFunctional theoryMathematics

description

The problem of robust mode-dependent delayed state feedback H∞ control is investigated for a class of uncertain time-delay systems with Markovian switching parameters and mixed discrete, neutral, and distributed delays. Based on the Lyapunov-Krasovskii functional theory, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities for the stochastic stability and stabilization of the considered system using some free matrices. The desired control is derived based on a convex optimization method such that the resulting closed-loop system is stochastically stable and satisfies a prescribed level of H∞ performance, simultaneously. Finally, two numerical examples are given to illustrate the effectiveness of our approach.

https://doi.org/10.1109/tcsi.2011.2106090