Development of optimal controller design method to compensate for vibrations caused by unbalanced force in rotor system based on Nyquist diagram

2018 ◽  
Vol 25 (4) ◽  
pp. 793-805 ◽  
Author(s):  
Shota Yabui ◽  
Tsuyoshi Inoue
Keyword(s):  
Controller Design ◽  
Design Method ◽  
Active Vibration Control ◽  
Open Loop ◽  
Rotor System ◽  
Optimal Controller ◽  
Stable Operation ◽  
Nyquist Diagram ◽  
Unbalanced Force ◽  
Active Vibration

In this paper, an optimal controller design method is proposed to compensate for vibrations caused by unbalanced force in the rotor system. The vibrations caused by unbalanced force are the major root cause of excessive whirling vibration in the rotor system, and it is important to compensate for the vibration to maintain its stable operation. The proposed design method can optimize a performance of the controller based on the vector locus of open loop characteristics on the Nyquist diagram. To verifiy the effectiveness, the proposed design method was employed for three typical active vibration control methods. The experimental results show that the proposed method can design the optimal parameters to compensate for the whirling vibrations of the rotor system.

Robust Controller Design for Active Vibration Control

1993 ◽  
Author(s):  
S. Jagannathan ◽  
A. B. Palazzolo ◽  
A. F. Kascak ◽  
G. T. Montague
Keyword(s):  
Vibration Control ◽  
Controller Design ◽  
Design Method ◽  
Active Vibration Control ◽  
Single Input Single Output ◽  
Background Theory ◽  
Single Output ◽  
Performance Specifications ◽  
Bearing Stiffness ◽  
Active Vibration

A novel frequency-domain technique, having its roots in Quantitative Feedback Theory (QFT), has been developed to design controllers for active vibration control (AVC). The advantages are a plant-based design according to performance specifications, and the ability to include structured uncertainties in the critical plant parameters like passive bearing stiffness or damping. In this paper, we describe the background theory of single-input, single-output (SISO) and multi-input, multi-output (MIMO) QFT design, followed by development of the theory adapted for AVC. Application examples are considered next, outlining the design method for both cases. Simulation results for the systems studied are presented showing the effectiveness of the technique in attenuating vibration.

scholarly journals Experimental verification of model-free active vibration control approach using virtually controlled object

2020 ◽  
Vol 26 (19-20) ◽  
pp. 1656-1667 ◽  
Author(s):  
Heisei Yonezawa ◽  
Itsuro Kajiwara ◽  
Ansei Yonezawa
Keyword(s):  
Vibration Suppression ◽  
Controller Design ◽  
Design Method ◽  
Active Vibration Control ◽  
Order System ◽  
Control Performance ◽  
Control Approach ◽  
Model Free ◽  
Active Vibration ◽  
Controlled Object

The purpose of this study is to develop a simple and practical controller design method without modeling controlled objects. In this technique, modeling of the controlled object is not necessary and a controller is designed with an actuator model, which includes a single-degree-of-freedom virtual structure inserted between the actuator and the controlled object. The parameters of the virtual structure are determined so that indirect active vibration suppression is effectively achieved by considering the frequency transfer function from the vibration response of the controlled object to that of the virtual structure. Since the actuator model, which includes a virtually controlled object, is a simple low-order system, a controller with high control performance can be designed by traditional model-based optimal control theory. In this research, a mixed [Formula: see text] controller is designed considering both control performance and robust stability. The effectiveness of the proposed method is validated experimentally. The robustness of the controller is demonstrated by applying the same controller to various structures.

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.

Eigenstructure Calculation for Mixed Vibratory Systems Composed of a Continuous Beam and Concentrated Actuators

2001 ◽  
Author(s):  
Michael J. Panza
Keyword(s):  
Active Vibration Control ◽  
Open Loop ◽  
Mode Shapes ◽  
Mixed System ◽  
Continuous Beam ◽  
Actuator Dynamics ◽  
Asymmetric System ◽  
Lumped Element ◽  
Active Vibration ◽  
Parameter Values

Abstract A calculation of the eigenstructure for mixed vibratory systems composed of a continuous beam and concentrated actuators is presented. The combined distributed and lumped element systems include actuators for active vibration control. The focus of this paper is on open loop models where with zero voltage input to the actuators. The continuous beam is isolated and discretized via modal analysis and combined with the actuator dynamics to form an asymmetric system. The resulting system is cast into a generalized nondimensional form suitable for studying system behavior for a broad range of system parameters. The solution is expressed as a series using the isolated beam mode eigenfunctions as a basis. The coefficients in the series are obtained from the complex eigensolution of the asymmetric system. Two examples are used to show a comparison of the complex mixed system and real isolated beam natural frequencies and mode shapes. The effect of beam and actuator parameter values are investigated via a key dimensionless parameter.

Analysis of sensor-debonding failure in active vibration control of smart composite plate

2017 ◽  
Vol 28 (18) ◽  
pp. 2603-2616 ◽  
Author(s):  
Asif Khan ◽  
Hyun Sung Lee ◽  
Heung Soo Kim
Keyword(s):  
Vibration Control ◽  
Composite Plate ◽  
Controller Design ◽  
Active Vibration Control ◽  
Piezoelectric Sensor ◽  
Smart Structure ◽  
Control Input ◽  
Smart Composite ◽  
Active Vibration ◽  
Controlled Structure

In this article, the effect of a sensor-debonding failure on the active vibration control of a smart composite plate is investigated numerically. A mathematical model of the smart structure with a partially debonded piezoelectric sensor is developed using an improved layerwise theory, a higher-order electric-potential field that serves as the displacement field, and the potential variation through the piezoelectric patches. A state-space form that is based on the reduced-order model is employed for the controller design. A control strategy with a constant gain and velocity feedback is used to assess the vibration-control characteristics of the controller in the presence of the sensor-debonding failure. The obtained results show that sensor-debonding failure reduces the sensor-output, control-input signal, and active damping in magnitude that successively degrades the vibration attenuation capability of the active vibration controller. The settling time and relative tip displacement of the controlled structure increase with the increasing length of partial debonding between the piezoelectric sensor and host structure. Furthermore, a damage-sensitive feature along with multidimensional scaling showed excellent results for the detection and quantification of sensor-debonding failure in the active vibration control of smart structures.

scholarly journals Analytical Multiloop Control for Multivariable Systems with Time Delays

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Zhiguo Wang ◽  
Peng Wei
Keyword(s):  
Transfer Function ◽  
Process Model ◽  
Controller Design ◽  
Design Method ◽  
Open Loop ◽  
Multivariable Systems ◽  
Performance Improvements ◽  
Loop Transfer Function ◽  
Multiloop Control ◽  
Multiloop Control System

In this paper, a new design method with performance improvements of multiloop controllers for multivariable systems is proposed. Precise expression is developed to show the relationship between the dynamic- and steady-state characteristics of the multiloop control system and its parameters. First, an equivalent transfer function (ETF) is introduced to decompose the multivariable system, based on which the multiloop controller parameters are calculated. According to the ETF matrix property, an analytical expression for the PI controller for multivariable systems is derived in terms of substituting the ETF matrix for the inverse open-loop transfer function. In the proposed controller design method, no approximation of the inverse of the process model is needed, implying that this method can be applied to some multivariable systems with high dimensions. The simulation results obtained from several examples demonstrate the effectiveness of the proposed method.

Back Stepping Control of the Magnetic Suspension System

2012 ◽  
Vol 189 ◽  
pp. 364-368
Author(s):  
Zhao Yuan Wang ◽  
Guo Qing Wu
Keyword(s):  
Controller Design ◽  
Design Method ◽  
Open Loop ◽  
Suspension System ◽  
Magnetic Suspension ◽  
Control Performance ◽  
State Variables ◽  
Simulink Simulation ◽  
Magnetic Suspension System ◽  
Back Stepping Control

The magnetic suspension system is a strong nonlinear, uncertain and open-loop unstable system. All of these factors have increased the difficulty of maglev controller design. Considering the single freedom maglev system as the research object in this paper, structure analysis and modeling design are conducted for the system. By choosing new state variables, the system model is transformed. On the basis of that, we use back stepping design method to design the nonlinear suspension controller. Control performance of the controller can be observed by the Matlab/Simulink simulation.

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