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In this paper, we address the task of setting up an optimal production plan taking into account an uncertain demand. The energy system is represented by a system of hyperbolic partial differential equations (PDEs) and the uncertain demand…

Optimization and Control · Mathematics 2020-01-13 Simone Göttlich , Oliver Kolb , Kerstin Lux

This paper presents a novel Nonlinear Model Predictive Control (NMPC) scheme for underwater robotic vehicles operating in a constrained workspace including static obstacles. The purpose of the controller is to guide the vehicle towards…

We outline a method for controlling the location of stable and unstable manifolds in the following sense. From a known location of the stable and unstable manifolds in a steady two-dimensional flow, the primary segments of the manifolds are…

Dynamical Systems · Mathematics 2016-01-07 Sanjeeva Balasuriya , Kathrin Padberg-Gehle

This paper studies the finite-horizon robust optimal control of constrained linear systems subject to model mismatch and additive stochastic disturbances. Utilizing the system level synthesis (SLS) parameterization, we propose a novel SLS…

Optimization and Control · Mathematics 2025-10-09 Yun Li , Jicheng Shi , Colin N. Jones , Neil Yorke-Smith , Tamas Keviczky

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood

We consider the nonlinear optimal control of bypass transition in a boundary layer flow subjected to a pair of free stream vortical perturbations using a receding horizon approach. The optimal control problem is solved using the Lagrange…

Fluid Dynamics · Physics 2018-09-25 Dandan Xiao , George Papadakis

We develop data-driven algorithms for reachability analysis and control of systems with a priori unknown nonlinear dynamics. The resulting algorithms not only are suitable for settings with real-time requirements but also provide provable…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Franck Djeumou , Abraham P. Vinod , Eric Goubault , Sylvie Putot , Ufuk Topcu

Nonlinear convection, the source of turbulence in fluid flows, may hold the key to stabilizing turbulence by solving a specific cubic polynomial equation. We consider the incompressible Navier-Stokes equations in a two-dimensional channel.…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Mohamed Camil Belhadjoudja , Miroslav Krstic , Emmanuel Witrant

A linear non-modal mechanism for transient amplification of perturbation energy is known to trigger sub-critical transition to turbulence in many shear flows. Feedback control strategies for minimizing this transient energy growth can be…

Fluid Dynamics · Physics 2019-07-04 Aniketh Kalur , Maziar S. Hemati

This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is subject to a constant delay while the open loop system might…

Optimization and Control · Mathematics 2020-12-29 Hugo Lhachemi , Christophe Prieur

We present a data-driven feedforward control to attenuate large transient lift experienced by an airfoil disturbed by an extreme level of discrete vortex gust. The current analysis uses a nonlinear machine-learning technique to compress the…

Fluid Dynamics · Physics 2024-09-18 Kai Fukami , Hiroya Nakao , Kunihiko Taira

The study explores technological schemes and control methods for reconstructing parallel gas pipeline systems under non-stationary conditions. It focuses on improving safety, reliability, and efficiency by automating valve control and…

Optimization and Control · Mathematics 2025-04-10 Ilgar Aliyev

We consider the problem of zeroing an error output of a nonlinear discrete-time system in the presence of constant exogenous disturbances, subject to hard convex constraints on the input signal. The design specification is formulated as a…

Optimization and Control · Mathematics 2021-05-07 John W. Simpson-Porco

Based on a continuum theory, we investigate the manipulation of the non-equilibrium behavior of a sheared liquid crystal via closed-loop feedback control. Our goal is to stabilize a specific dynamical state, that is, the stationary…

Soft Condensed Matter · Physics 2015-06-17 David A. Strehober , Eckehard Schöll , Sabine H. L. Klapp

In this paper, we present a robust distributed model predictive control (DMPC) scheme for dynamically decoupled nonlinear systems which are subject to state constraints, coupled state constraints and input constraints. In the proposed…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-24 Jieqiang Wei , Arjan van der Schaft

The ability to manipulate and control fluid flows is of great importance in many scientific and engineering applications. Here, a cluster-based control framework is proposed to determine optimal control laws with respect to a cost function…

Fluid Dynamics · Physics 2016-02-18 Eurika Kaiser , Bernd R. Noack , Andreas Spohn , Louis N. Cattafesta , Marek Morzynski

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler

This paper studies the benefits of pressure-robust discretizations in the scope of optimal control of incompressible flows. Gradient forces that may appear in the data can have a negative impact on the accuracy of state and control and can…

Optimization and Control · Mathematics 2022-03-07 Christian Merdon , Winnifried Wollner

We show that the energy required by a turbulent flow to displace a given amount of fluid through a straight duct in a given time interval can be reduced by modulating in time the pumping power. The control strategy is hybrid: it is passive,…

Fluid Dynamics · Physics 2024-05-15 Giulio Foggi Rota , Alessandro Monti , Marco E. Rosti , Maurizio Quadrio