Active vibration μ-synthesis-control of a hydrostatically supported flexible beam

Kytka, Peter; Ehmann, Christian; Nordmann, Rainer

doi:10.1007/bf03027070

Cited by 5 publications

(4 citation statements)

References 3 publications

(2 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The dynamics of the hoisting rope are modeled as an axially-moving string system. The trolley movement to its target position, which is made by rotating the trolley drum in the clockwise or counter clockwise directions, gives rise to lateral vibrations of the rope (due to flexibility) as well as the sway motion of the spreader [15]. It is assumed that the motions of both the spreader and the rope occur in a vertical plane, that is, the X-Y plane in Fig.…”

Section: System Dynamicsmentioning

confidence: 99%

Boundary control of container cranes from the perspective of controlling an axially moving string system

Kim

Hong

2009

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

The control objectives in this paper are to move the load of a container crane to its target position and to suppress the transverse vibration of the load. Owing to the fact that the load is hoisted up and down, the crane is modeled as an axially moving string system. The dynamics of the moving string are derived using Hamilton's principle for systems with changing mass. The Lyapunov function method is used in deriving a boundary control law, where the Lyapunov function candidate takes the form of the total mechanical energy of the system. The boundary control law utilizes the hoisting speed as well as the sway angle of the rope at the gantry side. Through experiment, the effectiveness of the proposed control law is demonstrated particularly in the lift-up process of the load.

show abstract

Section: System Dynamicsmentioning

confidence: 99%

Boundary control of container cranes from the perspective of controlling an axially moving string system

Kim

Hong

2009

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

show abstract

“…Here, it should be noted that, as scriptH2 and scriptH∞ control methodologies are standard tools in the control community, there is not a vital need for detailed re-description of this mathematically intensive subject, where the interested reader is referred to the literatures. 13–21,77–83 Figure 2(a) shows the standard configuration of the multi-objective scriptH2/scriptH∞ robust output feedback controller where boldP(s) is the generalized plant comprising the arrangement of all dynamics required for design and synthesis of the generalized controller boldK(s) based on the measurable error signal e , while w denotes the exogenous input vector to the generalized plant (e.g. reference signal, r , disturbances, d , noise, n , etc., see Figure 2(b)).…”

Section: Formulationmentioning

confidence: 99%

“…Here, the objective is to achieve a high disturbance rejection by limiting the closed-loop sensitivity function, boldSfalse(sfalse) over the control bandwidth. 77 Also, noting that the actuator control signal cannot be boundless, the control effort u should be appropriately confined for proper controller realization. Thus, one should limit the corresponding control effort described by boldKfalse(sfalse)boldSfalse(sfalse).…”

Section: Formulationmentioning

confidence: 99%

Robust active sound radiation control of a piezo-laminated composite circular plate of arbitrary thickness based on the exact 3D elasticity model

Hasheminejad

Keshavarzpour

2016

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

A multi-objective mixed H 2 /H 1 robust output feedback control synthesis with regional pole placement constraints in a linear matrix inequalities framework is adopted for active low-frequency sound radiation control of an arbitrarily thick, rigidly baffled, simply supported, multi-layered piezo-composite circular panel. The adopted control system concurrently captures the benefits of both H 2 transient control performance and H 1 robust stability in the face of external disturbances and system uncertainties. Also, the implemented volumetric sensing/actuation configuration avoids the typical problems associated with conventional (spatially discrete) piezoelectric sensor/actuator patches, where the total volume velocity can be effectively cancelled with the main contribution being to the long wavelength acoustic power emission. The elasto-acoustic analysis is based on the spatial state-space method in the context of exact 3D elasticity theory along with the Rayleigh integral formula where Neumann's addition theorem is incorporated in the associated Hankel transform representation to arrive at a computationally efficient expression for the nonaxisymmetric pressure field within the acoustic half-space, valid in both near and far fields. Subspace system identification of the fully coupled structure-fluid interaction problem is performed, and the truncated modes are considered as multiplicative uncertainties in synthesis of the mixed-norm controller. Numerical simulations establish the ability of the implemented volumetric sensing/actuation methodology in cooperation with the multi-objective robust active control scheme for restraining low-frequency sound radiation from a Ba 2 NaNb 5 O 15 /steel/PZT4 circular piezo-laminated plate, without provoking instability of the closed-loop system. Also, superior bandwidth frequency and tracking performance in comparison to the H 2 and H 1 controllers are observed. This work is believed to be the first such attempt to exactly model (and actively control) the 3D nonaxisymmetric acousto-elastodynamic frequency response of an arbitrarily thick, smart piezo-laminated circular plate in heavy fluid loading condition (i.e. without using any kind of far-field, low-frequency, and/or light fluid coupling approximations), with straightforward extensibility for any arbitrary through-thickness variation of distributed material properties.

show abstract

“…In case of a thrust hydrostatic or hybrid bearing is the scheme is even more simplified because the rotor motion needs to be controlled only along one axis that coincides with the direction of the bearing circumference axis. Example of a thrust bearing with active control research can be found in [16].…”

Section: Types and Main Features Of Active Bearingsmentioning

confidence: 99%

A Review on Active Bearings and Perspectives of Using Them in Rotating Machinery

Shutin¹,

Савин²,

Babin³

2014

AMM

View full text Add to dashboard Cite

The paper examines the issues of improving the rotor units by means of using support units with actively changeable characteristics. An overview of the known solutions related to the use of active bearings in various types of turbomachinery is provided. A closer look is given at the design and features of active radial bearings, the main elements of which are fluid film bearings. The results of mathematical modeling of active hybrid bearings are presented. The prospects of the use of this type of supports to improve the dynamic characteristics of rotating machinery, including reducing vibrations caused by various factors, are analyzed. Promising directions of development of active bearings are considered, which primarily involves the modification of system components and rotor motion control system algorithms, including intelligent technologies and artificial intelligence methods.

show abstract

Active vibration μ-synthesis-control of a hydrostatically supported flexible beam

Cited by 5 publications

References 3 publications

Boundary control of container cranes from the perspective of controlling an axially moving string system

Boundary control of container cranes from the perspective of controlling an axially moving string system

Robust active sound radiation control of a piezo-laminated composite circular plate of arbitrary thickness based on the exact 3D elasticity model

A Review on Active Bearings and Perspectives of Using Them in Rotating Machinery

Contact Info

Product

Resources

About