Modal-based model reduction and vibration control for uncertain piezoelectric flexible structures

Abstract A Genetic Algorithm (GA) based approach for solution of optimal control design of flexible structures is presented in this paper. The method for modeling flexible structures with distributed parameters as reduced-order models with lumped parameters, which has been developed previously, is employed. Due to some restrictions on controller design it is necessary to make a reduced-order model of the structure. Once the model is established the design of flexible structures is considered as a feedback search procedure where a new solution is assigned some fitness value for the GA and the algorithm iterates till some satisfactory design solution is achieved. We propose a pole assignment method to determine the evaluation (fitness) function to be used by the GA to find optimal damping ratios in passive elements. This paper demonstrates the first results of a genetic algorithm approach to solution of the vibration control problem for practical control applications to flexible tower-like structures.

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Structural Vibration Control for Bridge Towers and its Effect Under Wind Excitation Using a Wind Tunnel

Volume 1B: 16th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc97/vib-3809 ◽

1997 ◽

Author(s):

Fumio Doi ◽

Kazuto Seto ◽

Mingzhang Ren ◽

Yuzi Gatate

Keyword(s):

Wind Tunnel ◽

Vibration Control ◽

Active Vibration Control ◽

Flexible Structures ◽

Structural Vibration ◽

Magnetic Actuators ◽

Displacement Sensors ◽

Active Vibration ◽

Electro Magnetic ◽

Tower Model

Abstract In this paper we present an experimental investigation of active vibration control of a scaled bridge tower model under artificial wind excitation. The control scheme is designed on the basis of a reduced order model of the flexible structures using the LQ control theory, with a collocation of four laser displacement sensors and two hybrid electro-magnetic actuators. The experimental results in the wind tunnel show that both the bending and the twisting vibrations covering the first five modes of the structure are controlled well.

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Robust vibration control of flexible panel: modeling and simulation

World Journal of Engineering ◽

10.1108/wje-10-2016-0102 ◽

2017 ◽

Vol 14 (5) ◽

pp. 433-442

Author(s):

Aalya Banu ◽

Asan G.A. Muthalif

Keyword(s):

Robust Control ◽

Vibration Control ◽

Controller Design ◽

Control Strategies ◽

Active Vibration Control ◽

Flexible Structures ◽

Parametric Uncertainty ◽

Design Algorithm ◽

Content Type ◽

And Performance

Purpose This paper aims to develop a robust controller to control vibration of a thin plate attached with two piezoelectric patches in the presence of uncertainties in the mass of the plate. The main goal of this study is to tackle dynamic perturbation that could lead to modelling error in flexible structures. The controller is designed to suppress first and second modal vibrations. Design/methodology/approach Out of various robust control strategies, μ-synthesis controller design algorithm has been used for active vibration control of a simply supported thin place excited and actuated using two piezoelectric patches. Parametric uncertainty in the system is taken into account so that the robust system will be achieved by maximizing the complex stability radius of the closed-loop system. Effectiveness of the designed controller is validated through robust stability and performance analysis. Findings Results obtained from numerical simulation indicate that implementation of the designed controller can effectively suppress the vibration of the system at the first and second modal frequencies by 98.5 and 88.4 per cent, respectively, despite the presence of structural uncertainties. The designed controller has also shown satisfactory results in terms of robustness and performance. Originality/value Although vibration control in designing any structural system has been an active topic for decades, Ordinary fixed controllers designed based on nominal parameters do not take into account the uncertainties present in and around the system and hence lose their effectiveness when subjected to uncertainties. This paper fulfills an identified need to design a robust control system that accommodates uncertainties.

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