Prescribed-Time Second-Order Sliding Mode Controller Design Subject to Mismatched Term
Shang Shi, Xinming Wang, Shihua Li, Jun Yang
Abstract
This brief investigates the second-order sliding mode (SOSM) control for uncertain nonlinear systems subject to unknown mismatched terms. A new prescribed-time SOSM controller is developed by applying a time-varying coordinate transformation. The proposed controller can allow to prescribe the convergence time a priori and irrespective of initial conditions even in the presence of mismatched terms. Moreover, all the upper bounds of matched and mismatched uncertainties are not required to be exactly known. Finally, a simulation example with different initial conditions is given to show the effectiveness of the proposed controller.
Topics & Concepts
Control theory (sociology)Controller (irrigation)A priori and a posterioriConvergence (economics)Mode (computer interface)Nonlinear systemTerm (time)Computer scienceSliding mode controlUpper and lower boundsTransformation (genetics)First orderMathematicsMathematical optimizationControl (management)Applied mathematicsArtificial intelligenceMathematical analysisPhysicsEconomicsPhilosophyQuantum mechanicsEconomic growthBiologyBiochemistryAgronomyChemistryOperating systemEpistemologyGeneAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsAdvanced Control Systems Design