6533b7cefe1ef96bd1257994

RESEARCH PRODUCT

Robust l2-gain control for 2D nonlinear stochastic systems with time-varying delays and actuator saturation

Zhengrong XiangShipei HuangHamid Reza Karimi

subject

Convex hullComputer Networks and CommunicationsApplied MathematicsLinear matrixActuator saturationNonlinear systemExponential stabilityControl and Systems EngineeringControl theorySignal ProcessingFull state feedbackAutomatic gain controlSaturation (chemistry)Mathematics

description

Abstract This paper is concerned with the problems of stability analysis and l2-gain control for a class of two-dimensional (2D) nonlinear stochastic systems with time-varying delays and actuator saturation. Firstly, a convex hull representation is used to describe the saturation behavior, and a sufficient condition for the existence of mean-square exponential stability of the considered system is derived. Then, a state feedback controller which guarantees the resulting closed-loop system to be mean-square exponentially stable with l2-gain performance is proposed, and an optimization procedure to maximize the estimation of domain of attraction is also given. All the obtained results are formulated in a set of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed method.

yearjournalcountryeditionlanguage
2013-09-01Journal of the Franklin Institute
https://doi.org/10.1016/j.jfranklin.2013.05.012