Non-identifier based adaptive regulation of feedforward systems with nonlinear parametrization and delays: A saturation control scheme
Jiwei Sun, Wei Lin
Abstract
Using the dynamic state compensation method developed recently, we show in this paper that a nested saturation feedback control law with gain-dependent saturation levels, whose gain is updated online, is a natural non-identifier based adaptive compensator for feedforward systems with unknown parameters and delays. Such saturated adaptive controllers are “universal” with respect to: (i) parametric uncertainty; (ii) a large constant delay in the input, and (iii) large constant delays in both state and input. In all the three cases, it is proved that there exists a single delay-free universal controller, achieving adaptive regulation with global stability simultaneously.
Topics & Concepts
Control theory (sociology)Feed forwardIdentifierAdaptive controlNonlinear systemParametric statisticsConstant (computer programming)Parametrization (atmospheric modeling)Saturation (graph theory)Controller (irrigation)Computer scienceMathematicsControl (management)EngineeringControl engineeringPhysicsArtificial intelligenceQuantum mechanicsRadiative transferAgronomyStatisticsProgramming languageCombinatoricsBiologyStability and Control of Uncertain SystemsAdaptive Control of Nonlinear SystemsStability and Controllability of Differential Equations