New Results on Fuzzy Integral Sliding Mode Control of Nonlinear Singularly Perturbed Systems
Wenqiang Ji, Jianbin Qiu, Hamid Reza Karimi, Yili Fu
Abstract
This article focuses on the integral sliding mode control (SMC) issue for nonlinear singularly perturbed systems via T-S fuzzy models. A new sufficient criterion for the sliding surface design is attained by adopting convexification techniques, which also guarantees the asymptotic stability of the sliding motion. Then, a new dynamic SMC synthesis scheme is developed to ensure the finite-time reachability of the sliding surface. A simulation example is shown to illustrate the validity of the developed scheme.
Topics & Concepts
Control theory (sociology)Sliding mode controlIntegral sliding modeReachabilityNonlinear systemExponential stabilityMathematicsFuzzy control systemFuzzy logicSurface (topology)Variable structure controlScheme (mathematics)BifurcationComputer scienceControl (management)Mathematical analysisAlgorithmPhysicsGeometryQuantum mechanicsArtificial intelligenceAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsVehicle Dynamics and Control Systems