Integral Sliding Mode Control for a Kind of Impulsive Uncertain Reaction-Diffusion Systems
Yonggui Kao, Ma Suriguga, Hongwei Xia, Changhong Wang, Yunlong Liu
Abstract
This article discusses the integral sliding mode control problem for a kind of periodically impulsive uncertain reaction-diffusion systems (IURDSs). A novel integral sliding surface containing impulsive effects and reaction-diffusion terms is constructed, such that the impulsive effects for IURDSs can be removed. A novel sliding mode controller with impulsive effects is designed to ensure the reachability of the specified sliding surface in a finite time interval. By means of linear matrix inequalities (LMIs), the robust exponential stability of this kind of IURDSs are derived. Finally, a numerical example is provided to verify the availability of our findings.
Topics & Concepts
ReachabilityControl theory (sociology)Exponential stabilityIntegral sliding modeSliding mode controlMathematicsMode (computer interface)Controller (irrigation)DiffusionInterval (graph theory)Computer scienceControl (management)AlgorithmPhysicsNonlinear systemCombinatoricsQuantum mechanicsBiologyThermodynamicsAgronomyOperating systemArtificial intelligenceNeural Networks Stability and SynchronizationStability and Control of Uncertain SystemsStability and Controllability of Differential Equations