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Runtime verification enables checking temporal logic specifications over individual execution traces and offers a scalable alternative to exhaustive formal verification. In practice, systems must satisfy dozens to hundreds of temporal…

Logic in Computer Science · Computer Science 2026-05-14 Arınç Demir , Dogan Ulus

Input constrained Model predictive control (MPC) includes an optimization problem which should iteratively be solved at each time-instance. The well-known drawback of model predictive control is the computational cost of the optimization…

Optimization and Control · Mathematics 2019-04-17 Saman Cyrus , Ali Khaki Sedigh

The practical deployment of nonlinear model predictive control (NMPC) is often limited by online computation: solving a nonlinear program at high control rates can be expensive on embedded hardware, especially when models are complex or…

Machine Learning · Computer Science 2026-03-26 Mihaela-Larisa Clement , Mónika Farsang , Agnes Poks , Johannes Edelmann , Manfred Plöchl , Radu Grosu , Ezio Bartocci

Model Predictive Control (MPC) faces computational demands and performance degradation from model inaccuracies. We propose two architectures combining Neural Network-approximated MPC (NNMPC) with Reinforcement Learning (RL). The first, Warm…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Xiaolong Jia , Nikhil Bajaj

This paper proposes a Model Predictive Control (MPC) algorithm for target tracking amongst static and dynamic obstacles. Our main contribution lies in improving the computational tractability and reliability of the underlying non-convex…

Robotics · Computer Science 2021-12-24 Houman Masnavi , Vivek Adajania , Karl Kruusamae , Arun Kumar Singh

We propose a computationally efficient rollout-then-optimize method to improve a learned control policy at deployment time. A learned policy provides a nominal trajectory, which is refined online by a single Newton step implemented via a…

Optimization and Control · Mathematics 2026-04-13 Andrea Ghezzi , Rudolf Reiter , Katrin Baumgärtner , Alberto Bemporad , Moritz Diehl

The classic algorithm [Papadimitriou, J.ACM '81] for IPs has a running time $n^{O(m)}(m\cdot\max\{\Delta,\|\textbf{b}\|_{\infty}\})^{O(m^2)}$, where $m$ is the number of constraints, $n$ is the number of variables, and $\Delta$ and…

Optimization and Control · Mathematics 2026-01-01 Hauke Brinkop , Hua Chen , Lin Chen , Klaus Jansen , Guochuan Zhang

A Learning Model Predictive Controller (LMPC) for iterative tasks is presented. The controller is reference-free and is able to improve its performance by learning from previous iterations. A safe set and a terminal cost function are used…

Systems and Control · Computer Science 2017-12-15 Ugo Rosolia , Francesco Borrelli

Computing the viability kernel is key in providing guarantees of safety and proving existence of safety-preserving controllers for constrained dynamical systems. Current numerical techniques that approximate this construct suffer from a…

Systems and Control · Computer Science 2013-12-13 Shahab Kaynama , Meeko Oishi

Model Predictive Control (MPC) provides an optimal control solution based on a cost function while allowing for the implementation of process constraints. As a model-based optimal control technique, the performance of MPC strongly depends…

Systems and Control · Electrical Eng. & Systems 2024-09-11 David C. Gordon , Alexander Winkler , Julian Bedei , Patrick Schaber , Jakob Andert , Charles R. Koch

Recent years have witnessed a resurgence in using ReLU neural networks (NNs) to represent model predictive control (MPC) policies. However, determining the required network complexity to ensure closed-loop performance remains a fundamental…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Xingchen Li , Keyou You

Most of the real-time implementations of the stabilizing optimal control actions suffer from the necessity to provide high computational effort. This paper presents a cutting-edge approach for real-time evaluation of linear-quadratic model…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Kristína Fedorová , Yuning Jiang , Juraj Oravec , Colin N. Jones , Michal Kvasnica

Model Predictive Control (MPC) is a powerful strategy for constrained multivariable systems but faces computational challenges in real-time deployment due to its online optimization requirements. While explicit MPC and neural network…

Optimization and Control · Mathematics 2025-12-18 Jiayang Ren , Qiangqiang Mao , Tianwei Zhao , Yankai Cao

The advances in computer processor technology have enabled the application of nonlinear model predictive control (NMPC) to agile systems, such as quadrotors. These systems are characterized by their underactuation, nonlinearities, bounded…

Model Predictive Control (MPC) is widely used to achieve performance objectives, while enforcing operational and safety constraints. Despite its high performance, MPC often demands significant computational resources, making it challenging…

Optimization and Control · Mathematics 2025-01-24 Mohsen Amiri , Mehdi Hosseinzadeh

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

This paper presents a novel robust variable-horizon model predictive control scheme designed to intercept a target moving along a known trajectory, in finite time. Linear discrete-time systems affected by bounded process disturbances are…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

Nonlinear model predictive control (NMPC) is one of the few control methods that can handle multivariable nonlinear controlsystems with constraints. Gaussian processes (GPs) present a powerful tool to identify the required plant model and…

Optimization and Control · Mathematics 2020-05-26 E. Bradford , L. Imsland , D. Zhang , E. A. del Rio-Chanona

Despite the success of model predictive control (MPC), its application to high-dimensional systems, such as flexible structures and coupled fluid/rigid-body systems, remains a largely open challenge due to excessive computational…

Systems and Control · Computer Science 2019-05-03 Joseph Lorenzetti , Benoit Landry , Sumeet Singh , Marco Pavone

We study in this paper the linear quadratic optimal control (linear quadratic regulation, LQR for short) for discrete-time complex-valued linear systems, which have shown to have several potential applications in control theory. Firstly, an…

Optimization and Control · Mathematics 2017-09-18 Bin Zhou