Prescribed-Time Input-to-State Stabilization of Normal Nonlinear Systems by Bounded Time-Varying Feedback
Kang‐Kang Zhang, Bin Zhou, Guang‐Ren Duan
Abstract
This paper studies the prescribed-time input-to-state stabilization problem of normal nonlinear systems. With the help of some key properties of a class of parametric Lyapunov equations, the prescribed-time input-to-state stabilization problem of normal nonlinear systems under matched uncertainties is studied. Some bounded time-varying controllers are proposed. It is shown that the closed-loop systems are prescribed-time input-to-state stable. Finally, the effectiveness of the established methods is illustrated by two physical systems.
Topics & Concepts
Control theory (sociology)Nonlinear systemBounded functionParametric statisticsMathematicsState (computer science)Lyapunov functionStability (learning theory)Computer scienceControl (management)Mathematical analysisAlgorithmMachine learningPhysicsStatisticsArtificial intelligenceQuantum mechanicsAdaptive Control of Nonlinear SystemsGuidance and Control SystemsStability and Control of Uncertain Systems