Stabilization of a Rotating Disk-Beam System with Infinite Memory via Minimal State Variable: A Moment Control Case
Zhong‐Jie Han, Boumediène Chentouf, Huan Geng
Abstract
This paper deals with the stabilization problem of the rotating disk-beam system with infinite memory in the moment control. A linear feedback law is proposed, which consists of a torque control and a moment control with an infinite memory term. It is shown that the closed-loop system is well-posed and exponentially stable provided that the desired constant angular velocity and the memory kernel function satisfy certain conditions. The main ingredient of the proof is the frequency-domain method. Numerical simulations are also put forward to validate the results.
Topics & Concepts
MathematicsMoment (physics)Control theory (sociology)Kernel (algebra)Constant (computer programming)Beam (structure)TorqueExponential stabilityMathematical analysisDomain (mathematical analysis)Function (biology)Angular velocityMoment problemControl (management)Nonlinear systemClassical mechanicsComputer sciencePure mathematicsPhysicsThermodynamicsStatisticsProgramming languageBiologyEvolutionary biologyPrinciple of maximum entropyOpticsArtificial intelligenceQuantum mechanicsStability and Controllability of Differential EquationsNonlinear Dynamics and Pattern FormationNumerical methods for differential equations