Feedback controllers for a wind tunnel model involving a delay: Analytical design and numerical simulation

Manitius, A.

doi:10.1109/tac.1984.1103436

Cited by 98 publications

(41 citation statements)

References 4 publications

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“…An extensive numerical simulation of the closed-loop system performance has been done. 4 As a result of these investigations, the following controller emerged as the best among four discussed linear feedback controllers:…”

Section: This Is Measured By the Transition Time ('Settling Time') Tmentioning

confidence: 99%

Numerical simulation of a non‐linear feedback controller for a wind tunnel model involving a time delay

Manitius

Tran

1986

Optim Control Appl Methods

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SUMMARYThis paper describes a non-linear, &-minimum time, feedback controller for a wind tunnel model and a numerical simulation of its performance. The model is a linear third-order system with delay and a statevariable constraint; it represents the dynamics of a Mach number control loop in a cryogenic wind tunnel.The design method involves a singular perturbation technique, an impulse control and a compensation of delay. Peformance of linear and non-linear &-minimum time control is compared in various operating conditions. The closed-loop dynamics of the non-linear system is examined by numerical simulations which exhibit the boundary-layer phenomena in the control and the effects of various changes in parameters.

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Section: This Is Measured By the Transition Time ('Settling Time') Tmentioning

confidence: 99%

Numerical simulation of a non‐linear feedback controller for a wind tunnel model involving a time delay

Manitius

Tran

1986

Optim Control Appl Methods

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“…On the other hand, retarded differential equations are an important area of applied mathematics due to physical reasons with non-instant transmission phenomena such as high velocity fields in wind tunnel experiments, or other memory processes (see, e.g., Hale and Verduyn Lunel [11] and Manitius [12]), or biological motivations like species growth or incubating time in disease models among many others (see Kuang [10] and Murray [15], for instance).…”

Section: Introductionmentioning

confidence: 99%

The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion

Caraballo

Garrido–Atienza

Taniguchi

2011

Nonlinear Analysis: Theory, Methods & Applications

263

134

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“…Let us consider the wind tunnel model studied in [17] described by a linear DTD system defined by the following matrix of functional operators…”

Section: The Decomposition Problem With An Identity Diagonal Blockmentioning

confidence: 99%

“…In other words, the conditions 2.a and 2.b are equivalent to the existence of the unimodular matrices V := Θ T Γ T T ∈ GL q (D) and X := V −1 = (Ξ Λ) ∈ GL q (D) (see (17)). Condition 2.c asserts that we have (47) and thus (50) holds.…”

Section: Corollary 2 (See [2]) With the Notations Of Theorem 11 Thmentioning

confidence: 99%

A new insight into Serre's reduction problem

Cluzeau

Quadrat

2015

Linear Algebra and its Applications

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MSC: 93B25 16D70 13C05 34K06 13N10 68W30 Keywords: Mathematical systems theory Linear functional systems Module theory Serre's reduction The factorization problem The decomposition problem Applications to hydrodynamicsThe purpose of this paper is to study the connections existing between Serre's reduction of linear functional systems − which aims at finding an equivalent system defined by fewer equations and fewer unknowns − and the decomposition problem − which aims at finding an equivalent system having a diagonal block structure − in which one of the diagonal blocks is assumed to be the identity matrix. In order to do that, we further develop results on Serre's reduction problem and on the decomposition problem obtained in [2,3]. Finally, these techniques are used to analyze the decomposability of linear systems of partial differential equations studied in hydrodynamics such as the Oseen equations.

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Feedback controllers for a wind tunnel model involving a delay: Analytical design and numerical simulation

Cited by 98 publications

References 4 publications

Numerical simulation of a non‐linear feedback controller for a wind tunnel model involving a time delay

Numerical simulation of a non‐linear feedback controller for a wind tunnel model involving a time delay

The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion

A new insight into Serre's reduction problem

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