Lyapunov-based control of the sway dynamics for elevator ropes

Abstract

In this work we study the problem of rope sway dynamics control for elevator systems, with timevarying rope lengths. We formulate this problem as a nonlinear control problem and propose nonlinear controllers based on Lyapunov theory for time-varying systems. We study the stability of the proposed controllers, and test their performances on a numerical example. IFAC 2014This work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Research Laboratories, Inc. All rights reserved. Abstract: In this work we study the problem of rope sway dynamics control for elevator systems, with time-varying rope lengths. We formulate this problem as a nonlinear control problem and propose nonlinear controllers based on Lyapunov theory for time-varying systems. We study the stability of the proposed controllers, and test their performances on a numerical example.

Dynamic Modeling and Analysis of a Mine Hoisting System with Constant Length and Variable Length

“…ere are few literatures on nonlinear vibration behavior of the coal mine hoist. e kinematic and dynamic model of the mine hoisting system is similar to the elevator system or the axially moving system [9][10][11][12][13][14][15][16][17][18][19][20][21]. e stability problem of a nonlinear system is considered [22].…”

“…e numerical simulation is carried out by the sliding mode controller to verify the robustness and good tracking control performance [14]. e nonlinear controller is used to stabilize the sway with the wire rope by Lyapunov theory [15]. e Lagrange method proposed the motion control equation of wire rope with the drum-driven elevator system.…”

Optimal design of control device to reduce elevator ropes responses against earthquake excitation using Genetic Algorithms

“…The stability of the control method was analyzed based on Lyapunov theory. The author (Benosman, 2015) analyzed the vibration of the main rope by using a semi-active damper mounted on the top of the elevator car. The nonlinear controller was proposed based on Lyapunov theory, to stabilize the rope sway dynamics.…”

Lyapunov-Based Control of the Sway Dynamics for Elevator Ropes

“…However, due to cost constraints, it is preferable to be able to do so, with minimum actuation capabilities. Many investigations have been dedicated to the problem of modelling and control of elevator ropes [1], [2], [3], [4], [5], [6], [7]. In [4], a scaled model for high-rise, high-speed elevators was developed.…”