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Related papers: Control of the Fluidic Pinball using the Quadratic…

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We present the first comprehensive experimental and numerical study featuring the turbulent wake of the fluidic pinball for a large actuation range. The fluidic pinball is a cluster of three equal circular cylinders centered on the vertices…

The fluidic pinball is a geometrically simple flow configuration with three rotating cylinders on the vertex of an equilateral triangle. Yet, it remains physically rich enough to host a range of interacting frequencies and to allow testing…

Fluid Dynamics · Physics 2021-04-13 Luc R. Pastur , Nan Deng , Marek Morzyński , Bernd R. Noack

Feedback control problems involving autonomous quadratic systems are prevalent, yet there are only a limited number of software tools available for approximating their solution due to the complexity of the problem. This paper represents a…

Optimization and Control · Mathematics 2019-10-09 Jeff Borggaard , Lizette Zietsman

This article presents a unified approach to quadratic optimal control for both linear and nonlinear discrete-time systems, with a focus on trajectory tracking. The control strategy is based on minimizing a quadratic cost function that…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Igor Ladnik

Active flow control remains a significant challenge due to the high-dimensional, nonlinear nature of fluid dynamics. Quantum machine learning may prove effective in addressing these issues, given that quantum computing possesses superiority…

Fluid Dynamics · Physics 2026-01-27 Hongfu Zhang , Hui Tang

We propose and analyse a new methodology based on linear-quadratic regulation (LQR) for stabilising falling liquid films via blowing and suction at the base. LQR methods enable rapidly responding feedback control by precomputing a gain…

Optimization and Control · Mathematics 2023-07-11 Oscar A. Holroyd , Radu Cimpeanu , Susana N. Gomes

This paper addresses the problem of obtaining low-order models of fluid flows for the purpose of designing robust feedback controllers. This is challenging since whilst many flows are governed by a set of nonlinear, partial…

Deep reinforcement learning (DRL) for fluidic pinball, three individually rotating cylinders in the uniform flow arranged in an equilaterally triangular configuration, can learn the efficient flow control strategies due to the validity of…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Haodong Feng , Yue Wang , Hui Xiang , Zhiyang Jin , Dixia Fan

This paper concerns feedback stabilization of point vortex equilibria above an inclined thin plate and a three-plate configuration known as the Kasper Wing in the presence of an oncoming uniform flow. The flow is assumed to be potential and…

Fluid Dynamics · Physics 2018-01-17 Rhodri Nelson , Bartosz Protas , Takashi Sakajo

We present a model-based approach for the closed-loop control of vortex shedding in the cylinder wake. The control objective is to suppress the unsteadiness of the flow, which arises at a critical Reynolds number $Re_c$ through a…

Fluid Dynamics · Physics 2024-10-07 Tea Vojković , Dimitris Boskos , Abel-John Buchner

We stabilize the flow past a cluster of three rotating cylinders, the fluidic pinball, with automated gradient-enriched machine learning algorithms. The control laws command the rotation speed of each cylinder in an open- and closed-loop…

This study presents a noise-robust closed-loop control strategy for wake flows employing model predictive control. The proposed control framework involves the autonomous offline selection of hyperparameters, eliminating the need for user…

Fluid Dynamics · Physics 2025-01-20 Luigi Marra , Andrea Meilán-Vila , Stefano Discetti

Considering channel flow at Reynolds numbers below the linear stability threshold of the laminar profile as a generic example system showing a subcritical transition to turbulence connected with the existence of simple invariant solutions,…

Fluid Dynamics · Physics 2020-08-12 Moritz Linkmann , Florian Knierim , Stefan Zammert , Bruno Eckhardt

In this investigation we use a simple model of the dynamics of an inviscid vortex sheet given by the Birkhoff-Rott equation to obtain fundamental insights about the potential for stabilization of shear layers using feedback control. As…

Fluid Dynamics · Physics 2020-03-12 Bartosz Protas , Takashi Sakajo

We propose, analyze, and investigate numerically a novel feedback control strategy for high Reynolds number flows. For both the continuous and the discrete (finite element) settings, we prove that the new strategy yields accurate results…

Numerical Analysis · Mathematics 2025-07-11 Maria Strazzullo , Francesco Ballarin , Traian Iliescu , Claudio Canuto

Linear Quadratic Regulator (LQR) design is one of the most classical optimal control problems, whose well-known solution is an input sequence expressed as a state-feedback. In this work, finite-horizon and discrete-time LQR is solved under…

Optimization and Control · Mathematics 2020-01-17 Anna Scampicchio , Aleksandr Aravkin , Gianluigi Pillonetto

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

Systems and Control · Computer Science 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

Transient energy growth of flow perturbations is an important mechanism for laminar-to-turbulent transition that can be mitigated with feedback control. Linear quadratic optimal control strategies have shown some success in reducing…

Fluid Dynamics · Physics 2020-12-25 Huaijin Yao , Yiyang Sun , Talha Mushtaq , Maziar S. Hemati

We propose a new risk-constrained reformulation of the standard Linear Quadratic Regulator (LQR) problem. Our framework is motivated by the fact that the classical (risk-neutral) LQR controller, although optimal in expectation, might be…

Systems and Control · Electrical Eng. & Systems 2020-10-30 Anastasios Tsiamis , Dionysios S. Kalogerias , Luiz F. O. Chamon , Alejandro Ribeiro , George J. Pappas

In order to further expand the flight envelope of quadrotors under actuator failures, we design a nonlinear sensor-based fault-tolerant controller to stabilize a quadrotor with failure of two opposing rotors in the high-speed flight…

Robotics · Computer Science 2020-10-28 Sihao Sun , Xuerui Wang , Qiping Chu , Coen de Visser
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