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We propose a hierarchical architecture for efficiently computing high-quality solutions to structured mixed-integer programs (MIPs). To reduce computational effort, our approach decouples the original problem into a higher level problem and…

最优化与控制 · 数学 2025-12-04 Stefan Clarke , Bartolomeo Stellato

Positive systems describing networks with inherently non-negative states and inputs arise naturally in routing, logistics, and compartmental modelling. We consider problems modelled as positive linear systems in incidence form with linear…

最优化与控制 · 数学 2026-05-28 Roland Schurig , David Ohlin , Anders Rantzer , Emma Tegling , Rolf Findeisen

Model predictive control (MPC) is a de facto standard control algorithm across the process industries. There remain, however, applications where MPC is impractical because an optimization problem is solved at each time step. We present a…

最优化与控制 · 数学 2019-07-10 Robert J. Lovelett , Felix Dietrich , Seungjoon Lee , Ioannis G. Kevrekidis

Model Predictive Control (MPC) is a widely known control method that has proved to be particularly effective in multivariable and constrained control. Closed-loop stability and recursive feasibility can be guaranteed by employing accurate…

系统与控制 · 电气工程与系统科学 2025-02-05 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

The trade-off between optimality and complexity has been one of the most important challenges in the field of robust Model Predictive Control (MPC). To address the challenge, we propose a flexible robust MPC scheme by synergizing the…

系统与控制 · 电气工程与系统科学 2021-03-25 Sankaranarayanan Subramanian , Sergio Lucia , Radoslav Paulen , Sebastian Engell

Optimization-based controllers, such as Model Predictive Control (MPC), have attracted significant research interest due to their intuitive concept, constraint handling capabilities, and natural application to multi-input multi-output…

系统与控制 · 电气工程与系统科学 2024-10-24 S. A. N. Nouwens , M. M. Paulides , W. P. M. H. Heemels

We present a multi-rate control architecture that leverages fundamental properties of differential flatness to synthesize controllers for safety-critical nonlinear dynamical systems. We propose a two-layer architecture, where the high-level…

系统与控制 · 电气工程与系统科学 2024-09-21 Devansh R. Agrawal , Hardik Parwana , Ryan K. Cosner , Ugo Rosolia , Aaron D. Ames , Dimitra Panagou

Faster, cheaper, and more power efficient optimization solvers than those currently offered by general-purpose solutions are required for extending the use of model predictive control (MPC) to resource-constrained embedded platforms. We…

A robust Learning Model Predictive Controller (LMPC) for uncertain systems performing iterative tasks is presented. At each iteration of the control task the closed-loop state, input and cost are stored and used in the controller design.…

系统与控制 · 电气工程与系统科学 2021-07-06 Ugo Rosolia , Xiaojing Zhang , Francesco Borrelli

We investigate a family of bilevel imaging learning problems where the lower-level instance corresponds to a convex variational model involving first- and second-order nonsmooth sparsity-based regularizers. By using geometric properties of…

最优化与控制 · 数学 2023-03-21 Juan Carlos De los Reyes

We present a stochastic model predictive control (MPC) method for linear discrete-time systems subject to possibly unbounded and correlated additive stochastic disturbance sequences. Chance constraints are treated in analogy to robust MPC…

系统与控制 · 计算机科学 2019-01-23 Lukas Hewing , Kim P. Wabersich , Melanie N. Zeilinger

We propose an iterative approach for designing Robust Learning Model Predictive Control (LMPC) policies for a class of nonlinear systems with additive, unmodelled dynamics. The nominal dynamics are assumed to be difference flat, i.e., the…

系统与控制 · 电气工程与系统科学 2023-03-23 Siddharth H. Nair , Francesco Borrelli

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

系统与控制 · 电气工程与系统科学 2025-09-04 J. Wehbeh , E. C. Kerrigan

A supervised learning framework is proposed to approximate a model predictive controller (MPC) with reduced computational complexity and guarantees on stability and constraint satisfaction. The framework can be used for a wide class of…

系统与控制 · 计算机科学 2018-06-13 Michael Hertneck , Johannes Köhler , Sebastian Trimpe , Frank Allgöwer

Model predictive control (MPC) has become one of the well-established modern control methods for three-phase inverters with an output LC filter, where a high-quality voltage with low total harmonic distortion (THD) is needed. Although it is…

系统与控制 · 计算机科学 2020-04-24 Ihab S. Mohamed , Stefano Rovetta , Ton Duc Do , Tomislav Dragicevic , Ahmed A. Zaki Diab

An MPC controller uses a model of the dynamical system to plan an optimal control strategy for a finite horizon, which makes its performance intrinsically tied to the quality of the model. When faults occur, the compromised model will…

系统与控制 · 电气工程与系统科学 2026-03-31 David Laranjinho , Daniel Silvestre

Model Predictive Control (MPC) provides interpretable, tunable locomotion controllers grounded in physical models, but its robustness depends on frequent replanning and is limited by model mismatch and real-time computational constraints.…

机器人学 · 计算机科学 2025-10-15 Se Hwan Jeon , Ho Jae Lee , Seungwoo Hong , Sangbae Kim

Robust tube-based model predictive control (MPC) methods address constraint satisfaction by leveraging an a priori determined tube controller in the prediction to tighten the constraints. This paper presents a system level tube-MPC (SLTMPC)…

系统与控制 · 电气工程与系统科学 2021-11-08 Jerome Sieber , Samir Bennani , Melanie N. Zeilinger

This paper presents a comprehensive review of techniques proposed in the literature for solving bilevel optimization problems encountered in various real-life applications. Bilevel optimization is an appropriate choice for hierarchical…

最优化与控制 · 数学 2025-11-06 Dhaval Pujara , Ankur Sinha

The Model Predictive Control (MPC) scheme Funnel MPC enables output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems with stable internal dynamics. Earlier works achieved the…

最优化与控制 · 数学 2024-03-12 Thomas Berger , Dario Dennstädt