Characterisation of the Transient Dynamics of a Controlled Separated Flow Using Phase Averaged PIV

Raibaudo, C.; Kerhervé, Franck; Stanislas, Michel

doi:10.1007/978-3-319-06260-0_27

Cited by 2 publications

(11 citation statements)

References 4 publications

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“…Let us consider the cost functional

J (y, u) = \lim_{T \to + \infty} \frac{1}{T} \int_{0}^{T} α y (s) - (1 - α) u (s) d s

with

0 ⩽ α ⩽ 1

, which characterizes the averaged value of y in the steady state and the averaged control value required to obtain it. Because increasing of the output y implies better reduction of turbulence and our objective is to reattach the flow as much as possible, we also study the problem: to design a control law u such that

J (y, u) \to \max .

The trade‐off between the turbulence reduction and the energy consumed by the actuation is provided by the choice of the parameter α .…”

Section: Flow Control Systemmentioning

confidence: 99%

“…with 0 6˛6 1, which characterizes the averaged value of y in the steady state and the averaged control value required to obtain it. Because increasing of the output y implies better reduction of turbulence [12] and our objective is to reattach the flow as much as possible, we also study the problem: to design a control law u such that…”

Section: Optimal Control Let Us Consider the Cost Functionalmentioning

confidence: 99%

“…The formula (11) provides simple recursive procedure for numerical finding of periodic solution with precision controlled by the formula (12). Combination of this algorithm with some infinite dimensional optimization procedure [47] allows us to find numerically an optimal input signal u for a fixed period !.…”

Section: Periodic Feedforward Controlmentioning

confidence: 99%

“…[9][10][11]). Flow separation occurring because of a large adverse pressure gradient such as observed for two-dimensional flap ( [12][13][14][15][16]) constitutes one of the standard 5009 benchmark for development of new actuators or advanced control strategies [4,5,17,18] and [19]. This configuration will be considered in the present paper as a test case to apply recently developed methods of the Control Theory.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

SISO model‐based control of separated flows: Sliding mode and optimal control approaches

Feingesicht

Polyakov

Kerhervé

et al. 2017

Intl J Robust & Nonlinear

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International audienceThe challenging problem of active control of separated flows is tackled in the present paper using model-based design principles, and applied to data issued from a two-dimensional separated flow experiment. First, a bilinear state and input delay model of the system has been obtained from experimental data by means of a modified identification procedure. Adequacy and precision of the obtained model are demonstrated and compared with existing results. Next, two control problems (setpoint tracking and optimal control) have been formulated and studied using sliding mode control methodology and averaging analysis. The theoretical control results are supported with numerical simulations

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“…Let us consider the cost functional

J (y, u) = \lim_{T \to + \infty} \frac{1}{T} \int_{0}^{T} α y (s) - (1 - α) u (s) d s

with

0 ⩽ α ⩽ 1

J (y, u) \to \max .

The trade‐off between the turbulence reduction and the energy consumed by the actuation is provided by the choice of the parameter α .…”

Section: Flow Control Systemmentioning

confidence: 99%

Section: Optimal Control Let Us Consider the Cost Functionalmentioning

confidence: 99%

Section: Periodic Feedforward Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

SISO model‐based control of separated flows: Sliding mode and optimal control approaches

Feingesicht

Polyakov

Kerhervé

et al. 2017

Intl J Robust & Nonlinear

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show abstract

“…Among the various strategies developed, those using pneumatic actuators, such as air blowers, are the most encountered. In the meantime, the preferred examined system concerns flow separating over a two-dimensional flap (see [1], [2], [3], [4] and [5]). These works generally study the system from the Fluid Mechanics point of view but the application of control theory should be fruitfull to control the opening and closing of the air blowers in an optimal and robust way.…”

Section: Introductionmentioning

confidence: 99%

A bilinear input-output model with state-dependent delay for separated flow control

Feingesicht

Raibaudo

Polyakov

et al. 2016

2016 European Control Conference (ECC)

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It is proposed a first step to the model-based closedloop control of a separated flow. In such situations, fluid mechanics phenomena are highly nonlinear and can be represented by means of the Navier-Stokes equations. However, such a model still rises difficult issues for control practice. This paper proposes an alternative, bilinear and delayed model, the accuracy of which is studied. The identification technique combines least-square technique with a Mesh Adaptive Direct Search (MADS) algorithm. The main feature of the model is state dependent structure of input delay.

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Characterisation of the Transient Dynamics of a Controlled Separated Flow Using Phase Averaged PIV

Cited by 2 publications

References 4 publications

SISO model‐based control of separated flows: Sliding mode and optimal control approaches

SISO model‐based control of separated flows: Sliding mode and optimal control approaches

A bilinear input-output model with state-dependent delay for separated flow control

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