A Minimal Controller Synthesis Algorithm for Narrow-Band Applications

Author(s):  
A J Hillis ◽  
S A Neild ◽  
D P Stoten ◽  
A J L Harrison

A common control problem is that of reducing a narrow-band error signal or a narrow-band component of a broad-band error signal. The particular application described in this paper is that of active vibration isolation for automotive vehicles. The error-driven minimal control synthesis (Er-MCSI) algorithm with integral action has been applied to this problem, but is known to exhibit gain windup. The nature of the gain windup phenomenon is investigated and methods to mitigate its effects are discussed. A new controller, the narrow-band MCS (NBMCS), is developed specifically for narrow-band applications. NBMCS is based upon Er-MCSI and exploits the deterministic nature of the system disturbance. The NBMCS algorithm is shown not to suffer from the gain windup problem. The properties and performance of the Er-MCSI and NBMCS controllers are compared analytically, via simulation and experimental application, to an automotive vehicle equipped with active engine mounts.

Author(s):  
Fabian B. Becker ◽  
Martin A. Sehr ◽  
Stephan Rinderknecht

This paper deals with active vibration isolation of unbalance-induced oscillations in rotors using gain-scheduled H∞-controller via active bearings. Rotating machines are often exposed to gyroscopic effects, which occur due to bending deformations of rotors and the consequent tilting of rotor disks. The underlying gyroscopic moments are proportional to the rotational speed and couple the rotor’s radial degrees of freedom. Accordingly, linear time-varying models are well suited to describe the system dynamics in dependence on changing rotational speeds. In this paper, we design gain-scheduled H∞-controllers guaranteeing both robust stability and performance within a predefined range of operating speeds. The paper is based on a rotor test rig with two unbalance-induced resonances in its operating range. The rotor has two discs and is supported by one active and one passive bearing. The active support consists of two piezoelectric stack actuators and two collocated piezoelectric load washers. In addition, the rig is equipped with four inductive displacement sensors located at the discs. Closed-loop performance is assessed via isolation of unbalance-induced vibrations using both simulation and experimental data. This contribution is the next step on our path to achieving the long-term objective of combined vibration attenuation and isolation.


2005 ◽  
Vol 71 (705) ◽  
pp. 1537-1543
Author(s):  
Yuichi CHIDA ◽  
Yoshiyuki ISHIHARA ◽  
Takuya OKINA ◽  
Ryou FURUKAWA ◽  
Koichi OHTOMI

Author(s):  
S. V. Kravchenko

Abstract The features of active vibration control applied to self-excited non-conservative mechanical systems (such as structures subject to flatter, rotor machines, tubes conveying fluid) are discussed. It has been found that the optimal control strategy is the broad-band compensation of the dynamic force reactions combined with narrow-band damping of the mechanical structure resonant vibration. Some problems of feedback synthesis are solved analytically for these systems. The importance of symmetry and asymmetry for the active vibration control systems is discussed. In the case of self-excited systems, it is possible to use the small asymmetry of the control system for the stabilization of the dynamic process.


Author(s):  
Fabrice Matichard ◽  
Ken Mason ◽  
Richard Mittleman ◽  
Brian Lantz ◽  
Ben Abbott ◽  
...  

The control bandwidth and performance of active vibration isolation systems are usually directly related to the system dynamic characteristics. In this paper, we present results from a 4 years study carried out to improve the dynamical response and control performance on the two-stage isolator designed for Advanced LIGO detectors. The paper will focus on the platform’s first stage to illustrate prototyping, optimization, final design and the experimental results obtained during this program. The system concept, architecture and prototype will be presented. The factors initially limiting the prototype’s performance will be analyzed. Solutions based on sensors relocation, payload reduction, structural stiffening and passive techniques to damp the residual high frequency flexible modes will be presented. Experimental results obtained with the prototype will be compared with the system’s final version. The series of improvement obtained help not only to increase the system’s bandwidth, robustness and performance but also to simplify and speed up the control commissioning, which is very important for the Advanced LIGO project that will be using 5 of these platforms in each of its 3 detectors.


2005 ◽  
Vol 127 (3) ◽  
pp. 223-233 ◽  
Author(s):  
Marcel Heertjes ◽  
Koen de Graaff ◽  
Jan-Gerard van der Toorn

For a six degree-of-freedom active vibration isolation system, a control strategy based on modal decoupling is proposed. This has the advantage of controlling the modal directions on a centralized single-input single-output basis. As a consequence, stability and performance can be imposed in each of the modal directions separately. An experimental demonstration is given using a dummy metrology frame. That is, a 1600 kg payload mass supported by three combined pneumatic and Lorentz controlled isolators. With this setup, two unstable modal directions resulting from a high center of gravity are stabilized without compromising performance in any of the remaining directions. In fact, performance in the remaining directions is enhanced using manual loop shaping.


Author(s):  
K. V. Frolov

Abstract The theory of active vibration control based on the principle of broad-band compensation coupled with controllable vibration damping is presented. The applications of this principle to parametric and nonlinear mechanical structures are discussed. For the first time the possibility of the active vibration control with the aid of stochastic self-excited vibration spectrum transformation nonlinear phenomena is investigated. The theoretical and experimental results are compared for various complex mechanical objects.


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