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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

When designing controllers for large-scale systems, the architectural aspects of the controller such as the placement of actuators, sensors, and the communication links between them can no longer be taken as given. The task of designing…

Optimization and Control · Mathematics 2015-08-04 Nikolai Matni , Venkat Chandrasekaran

System level synthesis enables improved robust MPC formulations by allowing for joint optimization of the nominal trajectory and controller. This paper introduces a tailored algorithm for solving the corresponding disturbance feedback…

Optimization and Control · Mathematics 2024-09-05 Antoine P. Leeman , Johannes Köhler , Florian Messerer , Amon Lahr , Moritz Diehl , Melanie N. Zeilinger

We propose a new model reduction framework for problems that exhibit transport phenomena. As in the moving finite element method (MFEM), our method employs time-dependent transformation operators and, especially, generalizes MFEM to…

Numerical Analysis · Mathematics 2020-10-30 Felix Black , Philipp Schulze , Benjamin Unger

We propose a parameterization of a nonlinear dynamic controller based on the recurrent equilibrium network, a generalization of the recurrent neural network. We derive constraints on the parameterization under which the controller…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Neelay Junnarkar , He Yin , Fangda Gu , Murat Arcak , Peter Seiler

We propose a convex controller synthesis framework for a large class of constrained linear systems, including those described by (deterministic and stochastic) partial differential equations and integral equations, commonly used in fluid…

Optimization and Control · Mathematics 2025-06-24 Lauren Conger , Antoine P. Leeman , Franca Hoffmann

In this technical note, we generalize the well-known Lyapunov-based stabilizability and detectability tests for linear time-invariant (LTI) systems to the context of discrete-time (DT) polytopic linear parameter-varying (LPV) systems. To do…

Optimization and Control · Mathematics 2023-03-21 T. J. Meijer , V. S. Dolk , W. P. M. H. Heemels

We derive direct data-driven dissipativity analysis methods for Linear Parameter-Varying (LPV) systems using a single sequence of input-scheduling-output data. By means of constructing a semi-definite program subject to linear matrix…

Systems and Control · Electrical Eng. & Systems 2024-07-10 Chris Verhoek , Julian Berberich , Sofie Haesaert , Frank Allgöwer , Roland Tóth

System level synthesis is a promising approach that formulates structured optimal controller synthesis problems as convex problems. This work solves the distributed linear-quadratic regulator problem under communication constraints directly…

Systems and Control · Electrical Eng. & Systems 2022-10-31 Olle Kjellqvist , Jing Yu

Parametric model order reduction by matrix interpolation allows for efficient prediction of the behavior of dynamic systems without requiring knowledge about the underlying parametric dependency. Within this approach, reduced models are…

Dynamical Systems · Mathematics 2025-06-03 Sebastian Resch-Schopper , Romain Rumpler , Gerhard Müller

Identifying control-friendly models of nonlinear systems remains one of the major challenges at the intersection of system identification and control. The Linear Parameter-Varying (LPV) framework offers a promising solution, but existing…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Roel Drenth , Jan H. Hoekstra , Maarten Schoukens , Roland Tóth

In this paper, we propose a new model reduction technique for linear stochastic systems that builds upon knowledge filtering and utilizes optimal Kalman filtering techniques. This new technique will reduce the dimension of the noise…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Maico Hendrikus Wilhelmus Engelaar , Licio Romao , Yulong Gao , Mircea Lazar , Alessandro Abate , Sofie Haesaert

We show that given a desired closed-loop response for a system, there exists an affine subspace of controllers that achieve this response. By leveraging the existence of this subspace, we are able to separate controller design from…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Jing Shuang Li , Dimitar Ho

We introduce the concept of structured synthesis for Markov decision processes where the structure is induced from finitely many pre-specified options for a system configuration. The resulting synthesis problem is in general a nonlinear…

Software Engineering · Computer Science 2018-07-18 Nils Jansen , Laura Humphrey , Jana Tumova , Ufuk Topcu

The performance of a feedforward controller is primarily determined by the extent to which it can capture the relevant dynamics of a system. The aim of this paper is to develop an input-output linear parameter-varying (LPV) feedforward…

Systems and Control · Electrical Eng. & Systems 2023-09-25 Johan Kon , Jeroen van de Wijdeven , Dennis Bruijnen , Roland Tóth , Marcel Heertjes , Tom Oomen

This paper proposes an simple but yet effective approach to structured parametric controller design in a linear fractional form. The main contribution consists in using structured $\mathcal{H}_\infty$ oriented optimization tools in an…

Systems and Control · Computer Science 2017-04-12 C. Poussot-Vassal

Reinforcement learning has been successfully applied to the problem of tuning PID controllers in several applications. The existing methods often utilize function approximation, such as neural networks, to update the controller parameters…

In this paper an identification method for state-space LPV models is presented. The method is based on a particular parameterization that can be written in linear regression form and enables model estimation to be handled using…

Optimization and Control · Mathematics 2018-03-28 R. A. Romano , P. Lopes dos Santos , Felipe Pait , T-P Perdicoúlis , José A. Ramos

In recent years, the Linear Parameter-Varying (LPV) framework has become increasingly useful for analysis and control of time-varying systems. Generally, LPV control synthesis is performed in the continuous-time (CT) domain due to…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Yorick Broens , Hans Butler , Roland Tóth

Recent works have demonstrated how Linear Parameter Varying Model Predictive Control (LPV MPC) algorithms are able to control nonlinear systems with precision and reduced computational load. Specifically, these schemes achieve comparable…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Marcelo Menezes Morato , Amir Naspolini , Julio Elias Normey-Rico