Adaptive Asymptotic Control of Stochastic Systems With State Delay and Unknown Control Directions
Jian Wu, Yongbo Sun, Qianjin Zhao
Abstract
For a class of stochastic nonlinear systems (SNSs) with state delay and unknown control directions (UCDs), the global asymptotic regulation problem is investigated in this brief. Based on the key Lyapunov-Krasovskii functional (KLF), a dynamic feedback control strategy is designed to solve the time delay and UCDs problems. The proposed dynamic compensator guarantees the global asymptotic convergence of the systems state in probability at the origin and the global boundedness of the closed-loop system (TCLS) in probability. Finally, an example is given to verify the effectiveness of the developed scheme.
Topics & Concepts
Control theory (sociology)Convergence (economics)State (computer science)Nonlinear systemMathematicsAdaptive controlControl (management)Scheme (mathematics)Computer scienceExponential stabilityMathematical optimizationApplied mathematicsEconomicsAlgorithmMathematical analysisArtificial intelligenceQuantum mechanicsPhysicsEconomic growthAdaptive Control of Nonlinear SystemsAdaptive Dynamic Programming ControlAdvanced Control Systems Optimization