scholarly journals Control of deterministic diffusion generated by chaotic dynamical systems through time delayed feedback control

2018 ◽  
Vol 9 (2) ◽  
pp. 196-203 ◽  
Author(s):  
Miki U. Kobayashi
Keyword(s):  
Dynamical Systems ◽  
Feedback Control ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Chaotic Dynamical Systems ◽  
Time Delayed Feedback ◽  
Deterministic Diffusion

scholarly journals Controlling grazing-induced multistability in a piecewise-smooth impacting system via the time-delayed feedback control

2021 ◽  
Author(s):  
Zhi Zhang ◽  
Joseph Páez Chávez ◽  
Jan Sieber ◽  
Yang Liu
Keyword(s):  
Dynamical Systems ◽  
Feedback Control ◽  
Complex Dynamics ◽  
Path Following ◽  
Delayed Feedback ◽  
Point Estimation ◽  
Piecewise Smooth ◽  
Delayed Feedback Control ◽  
Coexisting Attractors ◽  
Time Delayed Feedback

AbstractGrazing events may create coexisting attractors and cause complex dynamics in piecewise-smooth dynamical systems. This paper studies the control of grazing-induced multistability in a soft impacting oscillator by using the time-delayed feedback control. The control switches from one of the coexisting attractors to a desired one to suppress complex dynamics near grazing events. We use path-following (continuation) techniques for non-smooth dynamical systems to investigate robustness of the controller and the parameter dependence of the controlled system. In particular, several newly developed computational methods are used, including a numerical method for analysing non-smooth delay equations and a method for calculating the Lyapunov exponents and the grazing point estimation. Numerical simulations demonstrate that the delayed feedback controller is effective, and a proper selection of the control gain and delay time can simplify the complex dynamics of the system near grazing.

Research on vibration reduction of semi-active suspension system of quarter vehicle based on time-delayed feedback control with body acceleration

2021 ◽  
pp. 146134842110518
Author(s):  
Yong Guo ◽  
Chuanbo Ren
Keyword(s):  
Feedback Control ◽  
Delayed Feedback ◽  
Suspension System ◽  
Delayed Feedback Control ◽  
Vehicle Body ◽  
Vehicle Suspension ◽  
Vertical Acceleration ◽  
Control Parameters ◽  
Vehicle Suspension System ◽  
Time Delayed Feedback

In this paper, the mechanical model of two-degree-of-freedom vehicle semi-active suspension system based on time-delayed feedback control with vertical acceleration of the vehicle body was studied. With frequency-domain analysis method, the optimization of time-delayed feedback control parameters of vehicle suspension system in effective frequency band was studied, and a set of optimization method of time-delayed feedback control parameters based on “equivalent harmonic excitation” was proposed. The time-domain simulation results of vehicle suspension system show that compared with the passive control, the time-delayed feedback control based on the vertical acceleration of the vehicle body under the optimal time-delayed feedback control effectively broadens the vibration absorption bandwidth of the vehicle suspension system. The ride comfort and stability of the vehicle under random road excitation are significantly improved, which provides a theoretical basis for the selection of time-delayed feedback control strategy and the optimal design of time-delayed feedback control parameters of vehicle suspension system.

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