Removing Feasibility Conditions on Tracking Control of Full-State Constrained Nonlinear Systems With Time-Varying Powers
Xue‐Jun Xie, Chao Guo, Rong‐Heng Cui
Abstract
This article discusses the tracking control problem of full-state constrained nonlinear systems with unknown time-varying powers. With the help of a nonlinear state-dependent transformation, by introducing lower and higher powers in control design and skillfully combining the adding a power integrator method with the dynamic gain method, a full-state constrained tracking control design is developed without frequently used feasibility conditions. It is rigorously proved that all the signals of the closed-loop system are bounded, full-state constraints are not violated, and the tracking error converges to a compact set around the origin in a finite-time.
Topics & Concepts
Control theory (sociology)Nonlinear systemIntegratorBounded functionTracking (education)State (computer science)Tracking errorTransformation (genetics)Computer scienceSet (abstract data type)Control (management)Power (physics)MathematicsAlgorithmArtificial intelligenceChemistryProgramming languageComputer networkPsychologyBandwidth (computing)GeneQuantum mechanicsBiochemistryPhysicsPedagogyMathematical analysisAdaptive Control of Nonlinear SystemsIterative Learning Control SystemsAdaptive Dynamic Programming Control