Active Vibration Control of Two Coupled Beams Using Descriptor System State Feedback

2010 ◽  
Author(s):  
Maximilian Manderla ◽  
Jan Schlake ◽  
Ulrich Konigorski
Keyword(s):  
Degrees Of Freedom ◽  
Active Vibration Control ◽  
Algebraic Model ◽  
Descriptor System ◽  
Control Law ◽  
System A ◽  
Feedback Design ◽  
Active Vibration ◽  
Coupled Beams ◽  
And Control

Based on two stiffly-coupled beams a non-standard approach of modelling and control is introduced, which is based on a descriptor representation of the system. A differential-algebraic model of the mechanical system can be derived intuitively, which directly serves for feedback design. The main contribution of this work is the presentation of a suitable parametric control law in terms of the full set of descriptor states. It is based on a classical coupling control and explicitly shows all degrees of freedom for feedback design. Exemplarily, damping assignment for the two-beam system is performed and some numerical and experimental results are provided for validation.

scholarly journals MIMO Active Vibration Control of Magnetically Suspended Flywheels for Satellite IPAC Service

2008 ◽  
Vol 130 (4) ◽  
Author(s):  
Junyoung Park ◽  
Alan Palazzolo ◽  
Raymond Beach
Keyword(s):  
Vibration Control ◽  
Attitude Control ◽  
High Frequency ◽  
Active Vibration Control ◽  
Control Algorithms ◽  
Control Law ◽  
Frequency Noise ◽  
Active Vibration ◽  
Simulation Results ◽  
And Control

Theory and simulation results have demonstrated that four, variable speed flywheels could potentially provide the energy storage and attitude control functions of existing batteries and control moment gyros on a satellite. Past modeling and control algorithms were based on the assumption of rigidity in the flywheel’s bearings and the satellite structure. This paper provides simulation results and theory, which eliminates this assumption utilizing control algorithms for active vibration control (AVC), flywheel shaft levitation, and integrated power transfer and attitude control (IPAC), that are effective even with low stiffness active magnetic bearings (AMBs) and flexible satellite appendages. The flywheel AVC and levitation tasks are provided by a multiple input–multiple output control law that enhances stability by reducing the dependence of the forward and backward gyroscopic poles with changes in flywheel speed. The control law is shown to be effective even for (1) large polar to transverse inertia ratios, which increases the stored energy density while causing the poles to become more speed dependent, and for (2) low bandwidth controllers shaped to suppress high frequency noise. Passive vibration dampers are designed to reduce the vibrations of flexible appendages of the satellite. Notch, low-pass, and bandpass filters are implemented in the AMB system to reduce and cancel high frequency, dynamic bearing forces and motor torques due to flywheel mass imbalance. Successful IPAC simulation results are presented with a 12% initial attitude error, large polar to transverse inertia ratio (IP∕IT), structural flexibility, and unbalance mass disturbance.

Modeling Rate-Dependent Hysteresis for GMA Using Online Least Squares Support Vector Machines

2011 ◽  
Vol 48-49 ◽  
pp. 710-714
Author(s):  
Zhen Kai Guo ◽  
Zhao Qing Song ◽  
Xin Jiang Wei
Keyword(s):  
Support Vector Machines ◽  
Least Squares ◽  
Active Vibration Control ◽  
Support Vector ◽  
Nonlinear Phenomenon ◽  
Rate Dependent ◽  
Hysteresis Nonlinearity ◽  
Vector Machines ◽  
Active Vibration ◽  
And Control

Rate-dependent hysteresis is a strongly nonlinear phenomenon which exists in the giant magnetostrictive actuator (GMA); it has influence in the precision and stability of active vibration control. It is highly important in the control theory and control engineering that the influence of hysteresis is eliminated by the modeling of rate-dependent hysteresis for GMA. So an online intelligent modeling method, which is based on an improved online least squares support vector machines (IOLS-SVM), is presented for identifying rate-dependent hysteresis nonlinearity for GMA, and is used to online real-time training. The data measured in the experiment are used for modeling. The numerical simulation shows the effectiveness of the method.

A HIGHER ORDER FINITE ELEMENT MODELING OF PIEZOLAMINATED SMART COMPOSITE PLATES AND ITS APPLICATION TO ACTIVE VIBRATION CONTROL

2007 ◽  
Vol 04 (01) ◽  
pp. 141-162 ◽  
Author(s):  
V. BALAMURUGAN ◽  
B. MANIKANDAN ◽  
S. NARAYANAN
Keyword(s):  
Finite Element ◽  
Vibration Control ◽  
Degrees Of Freedom ◽  
Active Vibration Control ◽  
Composite Plates ◽  
Piezoelectric Sensor ◽  
Higher Order ◽  
Interpolation Function ◽  
Smart Composite ◽  
Active Vibration

This paper presents a higher order — field consistent — piezolaminated 8-noded plate finite element with 36 elastic degrees-of-freedom per element and two electric degrees-of-freedom per element, one each for the piezoelectric sensor and actuator. The higher order plate theory used satisfies the stress and displacement continuity at the interface of the composite laminates and has zero shear stress on the top and bottom surfaces. The transverse shear deformation is of a higher order represented by the trigonometric functions allowing us to avoid the shear correction factors. In order to maintain the field consistency, the inplane displacements, u and v are interpolated using linear shape functions, the transverse displacement w is interpolated using hermite cubic interpolation function, while rotations θx and θy are interpolated using quadratic interpolation function. The element is developed to include stiffness and the electromechanical coupling of the piezoelectric sensor/actuator layers. The active vibration control performance of the piezolaminated smart composite plates has been studied by modeling them with the above element and applying various control strategies.

scholarly journals Thermal Effects on Vibration and Control of Piezocomposite Kirchhoff Plate Modeled by Finite Elements Method

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
M. Sanbi ◽  
R. Saadani ◽  
K. Sbai ◽  
M. Rahmoune
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Thermal Effects ◽  
Thermal Gradient ◽  
Active Vibration Control ◽  
Control Procedure ◽  
Finite Element Approximations ◽  
Plate Vibrations ◽  
Active Vibration ◽  
And Control

Theoretical and numerical results of the modeling of a smart plate are presented for optimal active vibration control. The smart plate consists of a rectangular aluminum piezocomposite plate modeled in cantilever configuration with surface bonded thermopiezoelectric patches. The patches are symmetrically bonded on top and bottom surfaces. A generic thermopiezoelastic theory for piezocomposite plate is derived, using linear thermopiezoelastic theory and Kirchhoff assumptions. Finite element equations for the thermopiezoelastic medium are obtained by using the linear constitutive equations in Hamilton’s principle together with the finite element approximations. The structure is modelled analytically and then numerically and the results of simulations are presented in order to visualize the states of their dynamics and the state of control. The optimal control LQG-Kalman filter is applied. By using this model, the study first gives the influences of the actuator/sensor pair placement and size on the response of the smart plate. Second, the effects of thermoelastic and pyroelectric couplings on the dynamics of the structure and on the control procedure are studied and discussed. It is shown that the effectiveness of the control is not affected by the applied thermal gradient and can be applied with or without this gradient at any time of plate vibrations.

Vibration Control of Parallel Identical Flexible Structures Using Interactive Force

2001 ◽  
Author(s):  
Shigeru Kougo ◽  
Hiroshi Fujihara ◽  
Katsuhiko Yoshida ◽  
Hiroyuki Tanaka ◽  
Toru Watanabe ◽  
...  
Keyword(s):  
Vibration Control ◽  
Control Experiment ◽  
Natural Frequencies ◽  
Control Mechanism ◽  
Reaction Force ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Control Performance ◽  
Active Vibration ◽  
And Control

Abstract This paper deals with active vibration control of two identical flexible structures arranged in parallel. One of the authors had presented a vibration control mechanism so that two or more structures are connected via non-contact actuators in which one structure is utilized as a reaction wall for another structure’s control mutually. However, in such a mechanism, the control performance reduces as the natural frequencies of structures become closer. In this report, authors present a modified mechanism in which actuators are connected to the structures with long arms so that the direction of vibration in a mode differs on each structure. In this way, the reaction force from the actuator on structure is introduced to another structure for dissipative force even if the properties of structures are identical. Computer simulation and control experiment are carried out and the effectiveness of presented mechanism is confirmed.

Performance analysis of active control systems based on the source-sink flow relationship of the structural intensity

2021 ◽  
Vol 69 (2) ◽  
pp. 122-135
Author(s):  
J.M. Ku ◽  
J.W. Lee ◽  
W.B. Jeong ◽  
C. Hong
Keyword(s):  
Active Vibration Control ◽  
Feedback System ◽  
Destructive Interference ◽  
Control Force ◽  
Structural Intensity ◽  
Active Vibration ◽  
Feedforward Controller ◽  
Source Sink ◽  
And Control ◽  
Relationship Of

The mechanisms of feedforward and feedback methods were analyzed for active vibration control. A feedforward controller was designed in the frequency domain using optimal control theory. The feedback control uses the direct velocity feedback method. The two control methods were applied to a plate, and the mechanisms were analyzed by examining the structural intensity map. In the case of the feedback system, the disturbance acting on the structure serves as a source, and the control force acts as a sink to reduce the vibration energy of the structure. On the other hand, in the feedforward system, the energy is reduced by the destructive interference of the intensity generated by the disturbance and control force. In this case, when analyzing the vibration intensity of the structure, component by component, the intensity generated by the control force is interfered with mainly the mutual power terms. They are the product of the force due to disturbance and the velocity due to control force, vice versa. Based on this analysis under the source-sink relationship of the feedback system, we confirmed that a higher control performance can be obtained by the control force at a point where the structural intensity is in a more easily flow position.

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