An adaptive algorithm for control of combustion instability

Banaszuk, Andrzej; Ariyur, Kartik B.; Krstić, Miroslav; Jacobson, C.A.

doi:10.1016/j.automatica.2004.06.008

Cited by 122 publications

(56 citation statements)

References 12 publications

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“…Phase shifting control is dominant in practical ACCS, see [1], [6], [9]. Among all published ACCS work there are very few realistic scale tirbine combustor demonstrations such as [2], [10], [12], [13], [18]. This is likely because of the cost and comprehensiveness of the real turbomachine scale experimental work.…”

Section: Introductionmentioning

confidence: 99%

“…Averaging methods were recently used for analysis of phase shifting control and sinusoidal disturbance rejection, though in different formulations, in [2], [4], [11]. The Rayleigh's criterion that is well known in analysis of thermoacoustic combustion instabilities can be obtained as a special case of the K-B averaged equation for energy.…”

Section: )mentioning

confidence: 99%

“…This paper adopts a simple Van der Pol model for themoacoustic oscillations discussed in [4]. In [2], [4] the relative phase is assumed fixed and amplitude dynamics does not include the feedback loop delay.…”

Section: Introductionmentioning

confidence: 99%

“…This paper shows that the limitations exist in a simple averaged dynamics model with just two states. Related work in [2], [4] used averaging methods for analysis of closed loop amplitude dynamics for ACCS. This paper adopts a simple Van der Pol model for themoacoustic oscillations discussed in [4].…”

Section: Introductionmentioning

confidence: 99%

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Amplitude and phase control in active suppression of combustion instability

Gorinevsky

Overman²,

Goeke³

2012

2012 American Control Conference (ACC)

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Abstract-This paper provides stability analysis for phase shifting active combustion control system where modulation of the fuel flow is used to suppress thermo-acoustic instability. The analysis is based on Krylov-Bogolubov averaged model for the oscillations with the external periodic forcing. The amplitude dynamics and phase dynamics are described by nonlinear first order models. The control inputs are the amplitude and phase of forcing (fuel modulation). The analysis demonstrates that phase dynamics and amplitude dynamics are each unstable in the desired target regime. Practical stabilizing control approaches and their limitations in the presence of feedback delays are discussed and analyzed. The analysis in this paper is verified in detailed simulations and validated in experiments with a jet engine scale combustor rig.

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Section: Introductionmentioning

confidence: 99%

Section: )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Amplitude and phase control in active suppression of combustion instability

Gorinevsky

Overman²,

Goeke³

2012

2012 American Control Conference (ACC)

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“…This modulation has been widely tested in experiments as a candidate for active control for suppressing the combustion instability [7,8]. In the literature, several active control methods have been proposed; an excellent overview of existing methods is given in [5].…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Model for Combustion Instability: Analysis and Quenching of the Oscillations

Landau¹,

Bouziani²,

Bitmead

Analysis and Design of Nonlinear Control Systems

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PreludeIt is a great pleasure for us to contribute to this book dedicated to Alberto Isidori on the occasion of his sixty fifth birthday. It is also, for the first author, the occasion to acknowledge a very long period of useful and pleasant exchange which started in 1973 (bilinear systems) and has continued through the years on various specific subjects.The important contributions of Albereto Isidori in the control of nonlinear systems have had a tremendous impact in the control community. Feedback linearization was one of the important subjects developed by Alberto. While the oscillatory nonlinear system considered in this contribution requires specific techniques for its analysis, still a feedback linearization is used for quenching the oscillations.

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Overshoot‐free nonholonomic source seeking in 3‐D

Lin

Song

You

et al. 2017

Adaptive Control & Signal

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This paper studies the problem of steering a nonholonomic vehicle with a constant forward velocity to localize a source in 3-D. Of two existing 3-D source-seeking strategies, one causes overshoots of the vehicle around the source while the other shows slow convergence rate in approaching the source. We propose a composite of these 2 control strategies to achieve a balanced performance by taking advantage of both strategies. Moreover, we prove local exponential stability for a static spherical signal map using averaging and describe the influence of the parameters using root locus method. Simulation results further validate the effectiveness and advantages of the combined strategy.

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An adaptive algorithm for control of combustion instability

Cited by 122 publications

References 12 publications

Amplitude and phase control in active suppression of combustion instability

Amplitude and phase control in active suppression of combustion instability

A Nonlinear Model for Combustion Instability: Analysis and Quenching of the Oscillations

Overshoot‐free nonholonomic source seeking in 3‐D

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