Robust Nonsingular Predefined-Time Terminal Sliding Mode Control for Perturbed Chains of Integrators
Yang Deng, Emmanuel Moulay, Vincent Léchappé, Zhang Chen, Bin Liang, Franck Plestan
Abstract
This article provides a nonsingular predefined-time terminal sliding mode control scheme for perturbed chains of integrators. Based on the linear delayed feedback technique, a class of nonsingular smooth prescribed-time sliding surfaces with artificial time-delays is constructed, and the control scheme can achieve predefined-time control for perturbed chains of integrators with matched and mismatched disturbances. Especially, for double integrators, an initial-condition-based sufficient condition is provided to preserve the prescribed-time stability. Finally, several simulation results illustrate the performance of the proposed control scheme.
Topics & Concepts
Control theory (sociology)IntegratorTerminal (telecommunication)Invertible matrixTerminal sliding modeComputer scienceSliding mode controlControl (management)PhysicsMathematicsPure mathematicsTelecommunicationsArtificial intelligenceNonlinear systemBandwidth (computing)Quantum mechanicsExtremum Seeking Control SystemsDynamics and Control of Mechanical SystemsAdaptive Control of Nonlinear Systems