Robust Fixed-Time Stability: Application to Sliding-Mode Control
Emmanuel Moulay, Vincent Léchappé, Emmanuel Bernuau, Franck Plestan
Abstract
This article deals with robust fixed-time stability and stabilization. First, new global robust fixed-time stability results are proposed for scalar systems by using constant and variable exponent coefficients. Then, they are applied to global robust fixed-time stabilization of a class of uncertain nonlinear second-order systems by using sliding-mode control. All the results are illustrated in simulation.
Topics & Concepts
Control theory (sociology)Nonlinear systemSliding mode controlStability (learning theory)Robust controlScalar (mathematics)Robustness (evolution)Variable structure controlConstant (computer programming)MathematicsMode (computer interface)Computer scienceControl (management)PhysicsGeometryMachine learningGeneBiochemistryOperating systemArtificial intelligenceProgramming languageQuantum mechanicsChemistryAdaptive Control of Nonlinear SystemsGuidance and Control SystemsStability and Control of Uncertain Systems