6533b857fe1ef96bd12b42ee

RESEARCH PRODUCT

H∞ sliding mode control for uncertain neutral-type stochastic systems with Markovian jumping parameters

Hamid Reza KarimiYonggui KaoWentao LiJ. XieChunnan Wang

subject

Surface (mathematics)Information Systems and ManagementAttenuationMode (statistics)Interval (mathematics)Type (model theory)Sliding mode controlComputer Science ApplicationsTheoretical Computer ScienceArtificial IntelligenceControl and Systems EngineeringReachabilityControl theorySoftwareMathematicsMarkovian jumping

description

This paper is devoted to the investigation of H ∞ sliding mode control (SMC) for uncertain neutral stochastic systems with Markovian jumping parameters and time-varying delays. A sliding surface functional is firstly constructed. Then, the sliding mode control law is designed to guarantee the reachability of the sliding surface in a finite-time interval. The sufficient conditions for asymptotically stochastic stability of sliding mode dynamics with a given disturbance attenuation level are presented in terms of linear matrix inequalities (LMIs). Finally, an example is provided to illustrate the efficiency of the proposed method.

https://doi.org/10.1016/j.ins.2015.03.047