Optimization of vibration control using a hybrid scheme with sliding‐mode and positive position feedback

J. Enríquez‐Zárate; S. Gómez‐Peñate; C. Hernández; Francisco Villarreal‐Valderrama; R. Velázquez; Leonardo Trujillo

doi:10.1002/oca.3086

Optimization of vibration control using a hybrid scheme with sliding‐mode and positive position feedback

Journal

Optimal Control Applications and Methods

ISSN

0143-2087

1099-1514

Date Issued

2023

Author(s)

J. Enríquez‐Zárate

S. Gómez‐Peñate

C. Hernández

Francisco Villarreal‐Valderrama

R. Velázquez

Facultad de Ingeniería - CampAGS

Leonardo Trujillo

Type

text::journal::journal article

DOI

10.1002/oca.3086

URL

https://scripta.up.edu.mx/handle/20.500.12552/9911

Abstract

AbstractThis article presents the design of a nonlinear hybrid controller for an underactuated Duffing oscillator with 2 degrees of freedom. The main control purpose is to reduce the frequency‐response to specific resonant‐frequencies while maintaining its robustness to external disturbances. The resulting hybrid controller uses sliding mode control (SMC) with a positive position feedback (PPF) scheme. This is structured such that the SMC provides system robustness and tracking, while the PPF allows damping specific resonant frequencies. The system was evaluated using frequency sweeps in terms of acceleration in the second degree of freedom. In this case, the control input is applied through the first degree of freedom. Moreover, multi‐objective optimization is implemented to tune of the control parameters. Simulation results show that the system response to external vibrations can be reduced up to 83.88% by using the proposed PPF + SMC scheme.