Euler's Discretization Effect on a Sliding-Mode Control System With Supertwisting Algorithm
Yan Yan, Shuanghe Yu, Xinghuo Yu
Abstract
In this article, we study the Euler's discretization effect on a sliding-mode control system with a supertwisting algorithm (STA). We start from the undisturbed STA and show that the trajectory eventually converges to an exactly bounded region around the origin. Periodic behaviors are explored. Furthermore, the discretization effect on the disturbed STA is established, and the stability analysis is given. Simulation results demonstrate the effectiveness of the proposed strategies.
Topics & Concepts
DiscretizationTrajectoryDiscretization of continuous featuresControl theory (sociology)Euler's formulaMode (computer interface)Stability (learning theory)Bounded functionSliding mode controlMathematicsEuler methodComputer scienceBackward Euler methodAlgorithmApplied mathematicsDiscretization errorControl (management)Mathematical analysisNonlinear systemArtificial intelligencePhysicsOperating systemMachine learningAstronomyQuantum mechanicsAdaptive Control of Nonlinear SystemsControl and Dynamics of Mobile RobotsChaos control and synchronization