IIR Youla–Kucera Parameterized Adaptive Feedforward Compensators for Active Vibration Control With Mechanical Coupling

Landau, Ioan Doré; Airimiţoaie, Tudor-Bogdan; Alma, Marouane

doi:10.1109/tcst.2012.2194714

Cited by 20 publications

(23 citation statements)

References 26 publications

(77 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Despite the fact that the basic hypotheses for stability analysis are violated, it was observed that these "strictly positive real" (SPR) conditions play a fundamental role even in the present context. The reason is that these SPR conditions can be interpreted as approximation conditions with respect to the true gradient [16], namely the approximated gradient used should be within an angle of ±90 • with respect to the true gradient.…”

Section: Parameter Adaptation Algorithm (Paa)mentioning

confidence: 99%

See 1 more Smart Citation

Beyond the delay barrier in adaptive feedforward active noise control using Youla–Kučera parametrization

Landau

Melendez

Airimiţoaie

et al. 2019

Journal of Sound and Vibration

Self Cite

View full text Add to dashboard Cite

Adaptive feedforward broad-band noise compensation is currently used when a correlated measurement with the disturbance (an image of the disturbance) is available. Most of the active feedforward noise control systems feature an internal "positive" acoustical feedback between the compensation system and the reference source (a correlated measurement with the disturbance) which has to be taken into account. Adaptive algorithms for active feedforward noise attenuation have been implemented such that the propagation delay between the compensatory actuator and the measurement of the residual noise (the secondary path) be much smaller than the propagation delay between the reference source (image of the incoming noise) and the measurement of the residual noise (the primary path). Nevertheless, there are potential fields of applications where the propagation delay of the secondary path may be larger than the one of the primary path. The present paper explores the behaviour of the available adaptive feedforward compensation algorithms in this new context. The algorithms have been tested experimentally on a relevant test bench. All the algorithms except the Youla-Kučera finite impulse response (YKFIR) adaptive compensator and the standard FIR adaptive compensator using a stability based filtered adaptation (FUSBA) lead to an unstable behavior. In terms of performance the YKFIR provides the best performance.

show abstract

Section: Parameter Adaptation Algorithm (Paa)mentioning

confidence: 99%

“…FIR and IIR Q filters can be used. Details of the specific algorithms can be found in [3,16]. The transfer operators of the various paths of the ANC system have been given in Section 3.…”

Section: Youla-kučera Parametrized Adaptive Feedforward Compensatorsmentioning

confidence: 99%

Beyond the delay barrier in adaptive feedforward active noise control using Youla–Kučera parametrization

Landau

Melendez

Airimiţoaie

et al. 2019

Journal of Sound and Vibration

Self Cite

View full text Add to dashboard Cite

show abstract

“…The central compensator will assure the stability of the internal positive feedback loop and its performance are enhanced in real-time by the direct adaptation of the parameters of the Youla-Kučera Q-filter. See [29]. Comparisons between IIR, FIR YK, and IIR YK adaptive feedforward have been done [29].…”

Section: Use Of the Youla-kučera Parametrization For Adaptive Feedformentioning

confidence: 99%

Adaptive active vibration isolation – A control perspective

Landau

Airimiţoaie

Silva

et al. 2015

MATEC Web of Conferences

Self Cite

View full text Add to dashboard Cite

Abstract. In many classes of applications like active vibration control and active noise control, the disturbances can be characterized by their frequencies content and their location in a specific region in the frequency domain. The disturbances can be of narrow band type (simple or multiple) or of broad band type. A model can be associated to these disturbances. The knowledge of the disturbance model as well as of the compensator system is necessary for the design of an appropriate control system in order to attenuate (or to reject) their effect upon the system to be controlled. The attenuation of disturbances by feedback is limited by the Bode Integral and the "water bed" effect upon the output sensitivity function. In such situations, the feedback approach has to be complemented by a "feedforward disturbance compensation" requiring an additional transducer for getting information upon the disturbance. Unfortunately in most of the situations the disturbances are unknown and time-varying and therefore an adaptive approach should be considered. The generic term for adaptive attenuation of unknown and time-varying disturbances is "adaptive regulation" (known plant model, unknown and time-varying disturbance model).The paper will review a number of recent developments for adaptive feedback compensation of multiple unknown and timevarying narrow band disturbances and for adaptive feedforward compensation of broad band disturbances in the presence of the inherent internal positive feedback caused by the coupling between the compensator system and the measurement of the image of the disturbance. Some experimental results obtained on a relevant active vibration control system will illustrate the performance of the various algorithms presented.

show abstract

“…withˆ( ) θ 0 0 = , P(0) = P0 > 0, and where 1 ≥ λ1(k) > 0, 0 < λ2(k) < 2 allow to obtain various profiles for the evolution of the adaption gain P(k). Since T12(q −1 ), F(q −1 ) and T21(q −1 ) are all stable transfer functions, then if the disturbance d is bounded, based on (13) it is easy to obtain that the regressive vector ϕ(k) is bounded. Thereby, based on the strict positive real (SPR) condition [17], if there exists a unique parameter vector θ0 satisfying the regulation condition (10) corresponding to the disturbance input properties, then for the noise-free or white-noise case (λ1(k) = 1) the algorithm given by (15) and (16)…”

Section: Adaptive Algorithmmentioning

confidence: 99%

Adaptive Regulation Against Unknown Narrow Band Disturbances Applied to the Flying Height Control in Data Storage Systems

Wu¹,

Liu²

2013

Asian Journal of Control

View full text Add to dashboard Cite

This paper presents an adaptive regulation approach in linear systems against exogenous narrow band inputs such as disturbances or reference signals consisting of a linear combination of biased sinusoids with unknown amplitudes, frequencies, and phases. The design of the regulator is based on considering a Q-parameterized set of stabilizing controllers for the linear system, where an adaptive FIR filter with fixed IIR filtering is adopted as the Q parameter. The goal of the adaptation is to search within the set of stabilizing controllers for a controller, or equivalently a Q parameter, that yields regulation in the closed loop system. The proposed adaptive regulation algorithm is applied to an active suspension beam system, which is motivated by the flying height control problem in data storage systems. The experimental result of the closed loop system shows the effectiveness of the proposed adaptive regulator in achieving the desired tracking performance under unknown exogenous disturbances.

show abstract

IIR Youla–Kucera Parameterized Adaptive Feedforward Compensators for Active Vibration Control With Mechanical Coupling

Cited by 20 publications

References 26 publications

Beyond the delay barrier in adaptive feedforward active noise control using Youla–Kučera parametrization

Beyond the delay barrier in adaptive feedforward active noise control using Youla–Kučera parametrization

Adaptive active vibration isolation – A control perspective

Adaptive Regulation Against Unknown Narrow Band Disturbances Applied to the Flying Height Control in Data Storage Systems

Contact Info

Product

Resources

About