Chaotic motion control of a vibro-impact system based on data-driven control method

Abstract

For the chaotic motion control of a vibro-impact system with clearance, the parameter feedback chaos control strategy based on the data-driven control method is presented in this article. The pseudo-partial-derivative is estimated on-line by using the input/output data of the controlled system so that the compact form dynamic linearization (CFDL) data model of the controlled system can be established. And then, the chaos controller is designed based on the CFDL data model of the controlled system. And the distance between two adjacent points on the Poincaré section is used as the judgment basis to guide the controller to output a small perturbation to adjust the damping coefficient of the controlled system, so the chaotic motion can be controlled to a periodic motion by dynamically and slightly adjusting the damping coefficient of the controlled system. In this method, the design of the controller is independent of the order of the controlled system and the structure of the mathematical model. Only the input/output data of the controlled system can be used to complete the design of the controller. In the simulation experiment, the effectiveness and feasibility of the proposed control method in this article are verified by simulation results.

Two-parameter cooperative intelligent optimal control of chaotic motion for a vibro-impact system with soft constraint

“…Lee et al (2006) proposed a strategy based on the idea of feedback control, thus realizing the control of a class of collision oscillator positions. Wei et al (2018aWei et al ( , 2018b proposed a model-free chaos control method based on AHGSA for the chaotic motion control of a singledegree-of-freedom rigid vibro-impact system with clearance. Shen et al (2018) studied the control problem of grazing induced chaos in single-degree-of-freedom impact oscillator, and used a real-time discrete-time feedback control strategy to control them as periodic motions.…”

“…Souza et al (2007) investigated a damping control method for the chaotic motion of a class of single-degree-of-freedom vibro-impact system by varying the damping coefficients of the system to achieve the control of its chaotic motion. Wei, Li, Ding, and Zhang (2018a, 2018b) used a ridge-wave neural network optimized by a dynamic multi-subgroup gravitational search algorithm to achieve chaotic motion control. Lee et al (2006) proposed a strategy based on the idea of feedback control, thus realizing the control of a class of collision oscillator positions.…”

“…Tian et al (2020) used a modified OGY method to stabilize the unstable periodic orbit inside the chaotic attractor of a single-stage gear system containing tooth backlash and bearing clearance. Wei et al (2021) proposed a parameter feedback chaos control strategy based on the data-driven control method for the chaotic motion control of a vibro-impact system with clearance.…”