6533b7d6fe1ef96bd126647b

RESEARCH PRODUCT

Delay-dependent control for 2-D switched delay systems in the second FM model

Hamid Reza KarimiZhaoxia DuanZhengrong Xiang

subject

EngineeringComputer Networks and Communicationsbusiness.industryApplied MathematicsAttenuationH controlState (functional analysis)Delay dependentDwell timeExponential stabilityControl and Systems EngineeringControl theorySignal ProcessingFull state feedbackbusiness

description

This paper is concerned with the problem of delay-dependent H∞ control for 2-D (two-dimensional) switched discrete state delay systems described by the second FM (Fornasini and Marchesini) state-space model. Firstly, some sufficient conditions for the exponential stability and weighted H∞ disturbance attenuation performance of the underlying system are derived via the average dwell time approach. Then, based on the obtained results, a state feedback controller design is proposed to guarantee that the resulting closed-loop system is exponentially stable and achieves a prescribed disturbance attenuation level γ. Finally, a numerical example is provided to verify the effectiveness of the proposed method.

yearjournalcountryeditionlanguage
2013-09-01Journal of the Franklin Institute
https://doi.org/10.1016/j.jfranklin.2013.04.019