A LQR Controller Design for Active Vibration Control of Flexible Structures

2008 ◽  
Author(s):  
Jingjun Zhang ◽  
Lili He ◽  
Ercheng Wang ◽  
Ruizhen Gao
Keyword(s):  
Vibration Control ◽  
Controller Design ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Lqr Controller ◽  
Active Vibration

A New Vibration Controller Design Using Consensus Technique

2015 ◽  
Author(s):  
Ehsan Omidi ◽  
S. Nima Mahmoodi
Keyword(s):  
Vibration Control ◽  
Controller Design ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Network Systems ◽  
Control Approach ◽  
Active Vibration ◽  
The Stability ◽  
Virtual Leader ◽  
Aluminum Beam

This paper discusses the concept of a new methodology for active vibration control of flexible structures using consensus control of network systems. In the new approach, collocated actuation/sensingpatches communicate with one another through a network with certain directed topology. A virtual leader is assigned to enforce the vibration amplitude at the place of each agent to zero. Since the modal states of the system are not available for the vibration control task, individual optimal observers are designed for each agent first. After describing the controller and examining the stability of the system, controller performance is verified using a clamped-clamped thin aluminum beam. According to the obtained numerical results, the new control approach successfully suppresses the vibration amplitudes, while the consensus design ensures that all agents are synchronized during the performance.

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

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.

Robust vibration control of flexible panel: modeling and simulation

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.

Active Vibration Control of a Triple Flexible Structures Combined With Actuators

1995 ◽  
Author(s):  
Kazuto Seto ◽  
Yoshihiro Toba ◽  
Fumio Doi
Keyword(s):  
Vibration Control ◽  
Large Scale ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Low Frequency ◽  
Tall Buildings ◽  
Control Force ◽  
Active Vibration ◽  
Strong Winds ◽  
Lq Control

Abstract In order to realize living comfort of tall buildings by reducing the vibration of higher floors by strong winds, this paper proposes a new method of vibration control for flexible structures with a large scale. The higher a tall building the lower its natural frequency. Since obtaining sufficient force to control the lower frequency vibrations of tall buildings is a difficult task, controlling the vibration of ultra-tall buildings using active dynamic absorbers is nearly impossible. This problem can be overcome by placing actuators between a pair of two or three ultra-tall buildings and using the vibrational force of each building to offset the vibrational movement of its paired mate. Therefore, it is able to obtain enough control force under the low frequency when the proposed method is used. In this paper, a reduced-order model expressed by 2DOF system under taking into consideration for preventing spillover instability is applied to control each flexible structure. The LQ control theory is applied to the design of such a control system. The effectiveness of this method is demonstrated theoretically as well as experimentally.

Active Vibration Control for Milling Processes

2010 ◽  
Author(s):  
Hao Jiang ◽  
Xinhua Long ◽  
Guang Meng
Keyword(s):  
Vibration Control ◽  
Controller Design ◽  
Active Vibration Control ◽  
Synthesis Method ◽  
Peripheral Milling ◽  
Control Gain ◽  
Servo Mechanism ◽  
Cutting Vibration ◽  
Active Vibration ◽  
Control System Synthesis

In this paper, a study on the active control of vibration for peripheral milling is presented. Different from the control for the vibrations of cutting tool or workpiece, in this effort, the relative vibration between the workpiece and tool is selected as the control target. To reduce the relative vibration, a two-axis active work-holding stage, which is droved by two piezo-actuators, is designed and the control system synthesis method is used to determine the control gain. By this method, the dynamical stage is considered as plant while the complicated cutting process is treated as disturbance. The cutting vibration control can be considered as a robust disturbance rejection problem (RDRP), and the controller design is based on robust servo-mechanism method. Without the requirement on the model of disturbance, this method simplifies the vibration control problem and only the knowledge of frequencies of disturbance is required. Numerical results indicate the implemented system works well in cutting vibration cancellation.

Active Vibration Control of a Centrally Clamped Disc by Means of a Piezoelectric Polymer

1990 ◽  
Vol 204 (1) ◽  
pp. 43-51 ◽  
Author(s):  
J Irons ◽  
W Kennedy
Keyword(s):  
Vibration Control ◽  
Polyvinylidene Fluoride ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Bonding Layer ◽  
Piezoelectric Polymers ◽  
Piezoelectric Polymer ◽  
Steel Disc ◽  
Active Vibration ◽  
Theoretical Results

With the advent of piezoelectric polymers, it is now possible to implement distributed control of flexible structures. Previous investigations of piezoelectric active vibration control have been mainly concerned with beams and beam-like structures; here a thin, centrally clamped steel disc is considered with polyvinylidene fluoride (PVDF) acting as the control actuator. Assuming that the PVDF imparts a controlled moment, and having ascertained the coupling and bonding layer effects, theoretical results are obtained. These results are compared with experimental results.

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