Active Vibration Control for Uncertain Time-Varying Systems Via Output Feedback

2007 ◽  
Author(s):  
Tingshu Hu ◽  
Liqiang Ma ◽  
Zongli Lin
Keyword(s):  
Vibration Control ◽  
Output Feedback ◽  
Active Vibration Control ◽  
Time Varying ◽  
Time Varying Systems ◽  
Active Vibration ◽  
Uncertain Time

Active vibration control for the time-varying systems with a new adaptive algorithm

2019 ◽  
Vol 26 (3-4) ◽  
pp. 200-213 ◽  
Author(s):  
Hongbo Zheng ◽  
Hui Qin ◽  
Mingke Ren ◽  
Zhiyi Zhang
Keyword(s):  
Vibration Control ◽  
Adaptive Algorithm ◽  
Active Vibration Control ◽  
Superior Performance ◽  
Time Varying ◽  
Mean Square ◽  
Least Mean Square ◽  
Fxlms Algorithm ◽  
Time Varying Systems ◽  
Active Vibration

This paper proposes a new adaptive algorithm for the active vibration control of time-varying systems in the presence of broadband or narrowband disturbances. The new algorithm combines the conventional filtered-x least mean square algorithm with the recursive prediction error (RPE) algorithm after the gradient modification of the RPE algorithm. The modified RPE algorithm is used to estimate the model of the control path online. The well-known filtered-x least mean square (FxLMS) algorithm is effective for the uncertain or time-varying systems, and adopts an auxiliary white noise approach to estimate the model of the control path online. However, the auxiliary excitation will degrade the control performance to some extent. In the new algorithm, the auxiliary excitation is eliminated at the expense of a larger computational burden. The influence of the estimated finite impulse response series on the convergence is also discussed. A propulsion shafting model with the time-varying dynamics is established by frequency response function synthesis. Numerical simulation for the established model is presented to demonstrate the superior performance of the proposed algorithm as compared with the FxLMS algorithm.

A comparison of active vibration control techniques - Output feedback vs optimal control

1987 ◽  
Author(s):  
ZORAN MARTINOVIC ◽  
RAPHAEL HAFTKA ◽  
WILLIAM HALLAUER, JR. ◽  
GEORGE SCHAMEL, II
Keyword(s):  
Optimal Control ◽  
Vibration Control ◽  
Output Feedback ◽  
Active Vibration Control ◽  
Control Techniques ◽  
Active Vibration

Robust Kalman-Filter-Based Frequency-Shaping Optimal Active Vibration Control of Uncertain Flexible Mechanical Systems with Nonlinear Actuators

2003 ◽  
Vol 9 (6) ◽  
pp. 623-644 ◽  
Author(s):  
Shinn-Horng Chen
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Time Varying ◽  
Time Varying Parameter ◽  
Robust Kalman Filter ◽  
Parameter Perturbations ◽  
Actuator Nonlinearities ◽  
Active Vibration ◽  
Control Methodology ◽  
Flexible Mechanical System

In this paper, we present a time-domain control methodology, called the robust Kalman-filter-based frequency-shaping optimal feedback (KFBFSOF) control method. Using this method, we treat the active vibration control (or active vibration suppression) problem of flexible mechanical systems under simultaneously high-frequency unmodeled dynamics, residual modes, linear time-varying parameter perturbations in both the controlled and residual parts, noises (input noise and measurement noise), noise uncertainties and actuator nonlinearities. Two robust stability conditions are proposed for the flexible mechanical system, which is controlled by a KFBFSOF controller and subject to mode truncation, noise uncertainties, actuator nonlinearities and linear structured time-varying parameter perturbations simultaneously. The advantage of the presented KFBFSOF control methodology is that it can make the controlled closed-loop system have both good robustness at high frequencies and good performance at low frequencies. Besides, the proposed robust stability criteria guarantee that the designed KFBFSOF controller can make the controlled flexible mechanical system avoid the possibilities of instability induced by both spillover and time-varying parameter perturbations. Two examples are given to illustrate the application of the presented control methodology to the active vibration control problems of a simply-supported flexible beam and of a flexible rotor system.

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