Stabilization Control for Strict-Feedback Nonlinear Systems With Time Delays
Wenjie Li, Zhengqiang Zhang, Shuzhi Sam Ge
Abstract
In this article, the output-feedback control problem for a class of nonlinear time-delay systems has been considered. Unmeasured system states and the time-varying delays which appear in all state variables bring great challenges to the controller design. Novel Lyapunov–Krasovkii functionals with control gains are proposed for a delay-independent controller. The system is proved to be asymptotically stable driven by the controller with suitable design parameters. Finally, we apply the new control scheme to a two-stage chemical reactor system and the time-delay tension leg platform system, the effectiveness of the control scheme is illustrated in the simulation results.
Topics & Concepts
Control theory (sociology)Nonlinear systemController (irrigation)Scheme (mathematics)Computer scienceControl (management)State (computer science)Stability theoryNonlinear controlControl engineeringFull state feedbackLyapunov functionControl systemMathematicsEngineeringAlgorithmAgronomyQuantum mechanicsMathematical analysisElectrical engineeringArtificial intelligenceBiologyPhysicsStability and Controllability of Differential EquationsVibration and Dynamic AnalysisAdaptive Control of Nonlinear Systems