Control of flexible structures governed by the wave equation

Raskin, Natalya; Yoram, H.

doi:10.1109/acc.2001.946126

Cited by 13 publications

(7 citation statements)

References 8 publications

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“…This approach is widely appreciated in the process control industry and in water distribution control. It has also proved useful in aerospace applications [4] and in control of large flexible structures [5]. For example, a first-order unstable system with a time delay was used in [4] to describe an aircraft longitudinal motion over a short period.…”

Section: Introductionmentioning

confidence: 99%

On the extraction of dead-time controllers and estimators from delay-free parametrizations

Mirkin

2003

IEEE Trans. Automat. Contr.

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A novel approach to control design for dead-time (DT) systems is proposed. The underlying idea is to treat the DT element not as a part of the generalized plant, but rather as a (causality) constraint imposed upon the controller (estimator). This enables one to use well-understood parametrizations of all delay-free controllers in the DT design. In particular, DT controllers can be extracted from such delay-free parametrizations. In this paper the extraction procedures are developed in both H 2 and H 1 settings. It is shown that the proposed approach yields simple solution procedures and new transparent and intuitively appealing structures for the resulting controllers and estimators.

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Section: Introductionmentioning

confidence: 99%

On the extraction of dead-time controllers and estimators from delay-free parametrizations

Mirkin

2003

IEEE Trans. Automat. Contr.

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“…The lemma is based on [15, Lemma 2]. Note that similar result is also independently developed in [21].…”

Section: Preliminary: Equivalent Finite Dimensional Stabilizationmentioning

confidence: 90%

H∞ Control of systems with multiple I/O delays *

Meinsma

Mirkin

2003

IFAC Proceedings Volumes

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“…The third example is an infinite dimensional transfer function which is a damped version of the wave system studied in [17]. This transfer function is expressed by delay terms as follows:…”

Section: Free-free Uniform Rodmentioning

confidence: 99%

“…The second example is a clamped-free beam model taken from [6]. The third example is a damped version of the free-free rod transfer function taken from [17]. In each case, the frequency response data is generated from the infinite dimensional transfer function and the parameters of a finite dimensional model are estimated using the proposed NLLS method.…”

Section: Introductionmentioning

confidence: 99%

On reduced order modeling of flexible structures from frequency response data

Demir

Özbay

2014

2014 European Control Conference (ECC)

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In order to identify the dominant flexible modes of a flexible structure with an input/output delay, a numerical method is proposed. The method uses a frequency domain approach (frequency response data) to estimate the resonating frequencies and damping coefficients of the flexible modes, as well as the amount of the time delay. A sequential NLLS (Non-Linear Least Squares) curve fitting procedure is adopted. It is illustrated that such a Newtonian optimization method has the capability of finding the parameters of a reduced order transfer function by minimizing a cost function involving nonlinearities such as exponential and fractional terms. © 2014 EUCA

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Control of flexible structures governed by the wave equation

Cited by 13 publications

References 8 publications

On the extraction of dead-time controllers and estimators from delay-free parametrizations

On the extraction of dead-time controllers and estimators from delay-free parametrizations

H∞ Control of systems with multiple I/O delays *

On reduced order modeling of flexible structures from frequency response data

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