A Mixed Robust/Optimal Active Vibration Control for Uncertain Flexible Structural Systems with Nonlinear Actuators Using Genetic Algorithm

Abstract

In this article, a mixed robust/optimal control approach is proposed to treat the active vibration control (or active vibration suppression) problems of flexible structural systems under the effects of mode truncation, linear time-varying parameter perturbations and nonlinear actuators. A new robust stability condition is derived for the flexible structural system which is controlled by an observer-based controller and is subject to mode truncation, nonlinear actuators and linear structured time-varying parameter perturbations simultaneously. Based on the robust stability constraint and the minimization of a de2ned H 2 performance, a hybrid Taguchi-genetic algorithm (HTGA) is employed to find the optimal state feedback gain matrix and observer gain matrix for uncertain flexible structural systems. A design example of the optimal observer-based controller for a simply supported beam is given to demonstrate the combined application of the presented sufficient condition and the HTGA.

RETRACTED: A critical review of structural system control by the large-scaled neural network linear-deferential-inclusion-based criterion

“…Taking into account the effects of mode truncation, linear time-varying parameter perturbations and nonlinear actuators, this article proposes a mixed robust/ optimal control approach to treat the active vibration control (or active vibration suppression) problems of flexible structural systems (Chen SH, Meng LA and Chou JH, 2007). A new robust stability condition is derived for the flexible structural system which is controlled by an observer-based controller and is subject to mode truncation, nonlinear actuators and linear structured time-varying parameter perturbations at the same time.…”

A review of non-linear structural control techniques

“…In some applications, established control techniques such as H-infinity [129] or sliding mode [128] are modified and applied to the modal control problem. In addition control using neural networks and genetic algorithms [130][131][132][133][134][135] has also been employed for systems with multiple modes of vibration. However, specialist techniques for modal control have also been developed.…”

LQR and LQG-Kalman active control comparison of smart structures with finite element reduced-order modeling and a Monte Carlo simulation

“…In the last decade, several studies have been conducted in the field of active vibration control. Many studies investigated procedures to make control algorithms better and faster [Hsiao et al (2006), Chen et al( 2007), Sharma et al (2007), Tanaka and Sanada (2007), Kim et al (2011), andZhu (2012)]. The control of thin constrained composite damping plates with double piezoelectric layers has been investigated by Cao et al (2020).…”