Actuator Selection for Vibration Control With Control Energy Constraints

1997 ◽  
Author(s):  
Hitoshi Doki ◽  
Kazuhiko Hiramoto ◽  
Jun Kaido ◽  
Robert E. Skelton
Keyword(s):  
Total Energy ◽  
Vibration Control ◽  
Dynamic Range ◽  
Active Vibration Control ◽  
Optimal Placement ◽  
Control Effort ◽  
Design Algorithm ◽  
Sensor Actuator ◽  
Energy Constraints ◽  
Active Vibration

Abstract This paper deals with a sensor/actuator placement problem in design of active vibration control systems for flexible structures. This problem is formulated as a minimization problem of the total energy which is defined as a sum of a kinetic and strain energy in a controlled structure with a constraint of control effort. The inequality constraint on the variance of the closed-loop control effort is adopted to represent the capacity (dynamic range) of the actuator. Using a design algorithm which iteratively tunes the weighting matrix of the quadratic performance index in the LQG problem, the controller which meets these specifications can be synthesized. The optimal location of the sensor/actuator is determined by calculating the total energy for each candidate under several energy constraints of the control effort. The optimal placement of the sensor/actuator depends on the control energy constraint. Simulations and experiments for a cantilevered beam are conducted. These results of the optimization can be used as a guide to the design of active vibration control system.

scholarly journals OPTIMAL PLACEMENT AND ACTIVE VIBRATION CONTROL OF COMPOSITE PLATES INTEGRATED PIEZOELECTRIC SENSOR/ACTUATOR PAIRS

2018 ◽  
Vol 56 (1) ◽  
pp. 113 ◽  
Author(s):  
Vu Van Tham ◽  
Tran Huu Quoc ◽  
Tran Minh Tu
Keyword(s):  
Vibration Control ◽  
Degrees Of Freedom ◽  
Active Vibration Control ◽  
Laminated Composite ◽  
Composite Plates ◽  
Piezoelectric Sensor ◽  
Optimal Placement ◽  
Laminated Composite Plates ◽  
Sensor Actuator ◽  
Active Vibration

In this study, a finite element model based on first-order shear deformation theory is presented for optimal placement and active vibration control of laminated composite plates with bonded distributed piezoelectric sensor/actuator pairs. The model employs the nine-node isoparametric rectangular element with 5 degrees of freedom for the mechanical displacements, and 2 electrical degrees of freedom. Genetic algorithm (GA) is applied to maximize the fundamental natural frequencies of plates; and the constant feedback control method is used for the vibration control analysis of piezoelectric laminated composite plates. The results of this study can be used to aid the placement of piezoelectric sensor/actuator pairs of smart composite plates as well as for robust controller design.

Optimal Placement of Piezoelectric Sensors and Actuators for Controlled Flexible Linkage Mechanisms

2005 ◽  
Vol 128 (2) ◽  
pp. 256-260 ◽  
Author(s):  
Xianmin Zhang ◽  
Arthur G. Erdman
Keyword(s):  
Vibration Control ◽  
Simulation Analysis ◽  
Active Vibration Control ◽  
Optimal Placement ◽  
Control Effect ◽  
Sensors And Actuators ◽  
Piezoelectric Sensors And Actuators ◽  
Active Vibration ◽  
Flexible Mechanism ◽  
Flexible Linkage

The optimal placement of sensors and actuators in active vibration control of flexible linkage mechanisms is studied. First, the vibration control model of the flexible mechanism is introduced. Second, based on the concept of the controllability and the observability of the controlled subsystem and the residual subsystem, the optimal model is developed aiming at the maximization of the controllability and the observability of the controlled modes and minimization of those of the residual modes. Finally, a numerical example is presented, which shows that the proposed method is feasible. Simulation analysis shows that to achieve the same control effect, the control system is easier to realize if the sensors and actuators are located in the optimal positions.

A Comparative Study and Analysis of Semi-Active Vibration-Control Systems

2002 ◽  
Vol 124 (4) ◽  
pp. 593-605 ◽  
Author(s):  
Nader Jalili
Keyword(s):  
Vibration Control ◽  
Control Systems ◽  
Energy Requirement ◽  
Active Vibration Control ◽  
Parameter Tuning ◽  
Practical Implementation ◽  
Control Effort ◽  
Theoretical Concepts ◽  
Practical Applications ◽  
Active Vibration

Semi-active (SA) vibration-control systems are those which otherwise passively generated damping or spring forces are modulated according to a parameter tuning policy with only a small amount of control effort. SA units, as their name implies, fill the gap between purely passive and fully active vibration-control systems and offer the reliability of passive systems, yet maintain the versatility and adaptability of fully active devices. During recent years there has been considerable interest towards practical implementation of these systems for their low energy requirement and cost. This paper briefly reviews the basic theoretical concepts for SA vibration-control design and implementation, and surveys recent developments and control techniques for these systems. Some related practical applications in vehicle suspensions are also presented.

Optimal Research of Actuator Placement for Piezoelectric Smart Structure

2009 ◽  
Vol 419-420 ◽  
pp. 173-176
Author(s):  
Wei Yuan Wang ◽  
Kai Xue ◽  
Dong Yan Shi
Keyword(s):  
Vibration Control ◽  
Control Method ◽  
Active Vibration Control ◽  
Element Model ◽  
Smart Structure ◽  
Optimal Placement ◽  
Optimal Method ◽  
Modal Damping ◽  
Active Vibration ◽  
Modal Space

The purpose of this paper is to investigate the optimal placement of piezoelectric actuator for active vibration control of smart structure. The structures can be described in the modal space based on the independent modal space control method and dynamic equations derived from finite element model. The modal damping ratios are derived from modal equations and an optimal target is given by maximizing the modal damping ratios. Accumulation method is adopted to the optimization calculation. Simulations are carried out for active vibration control of a conical shell with distributed piezoelectric actuators. Control effects proved the validity of the optimal method above by compared with the non-optimal results. The optimal method in this paper gives a useful guide for quantity optimization of actuators to piezoelectric structures.

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