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A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

最优化与控制 · 数学 2019-10-31 Ugo Rosolia , Francesco Borrelli

We propose an approach to design a Model Predictive Controller (MPC) for constrained Linear Time Invariant systems performing an iterative task. The system is subject to an additive disturbance, and the goal is to learn to satisfy state and…

系统与控制 · 电气工程与系统科学 2023-06-13 Monimoy Bujarbaruah , Akhil Shetty , Kameshwar Poolla , Francesco Borrelli

We propose a novel approach to design a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertain system is modeled as linear parameter varying with additive disturbance. Set bounds for the system…

系统与控制 · 电气工程与系统科学 2022-08-11 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R Stürz , Xiaojing Zhang , Francesco Borrelli

In this paper, we address the problem of designing stochastic model predictive control (MPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is twofold. First, motivated by the difficulty of…

系统与控制 · 电气工程与系统科学 2024-06-21 Mirko Fiacchini , Martina Mammarella , Fabrizio Dabbene

We present a nonlinear model predictive control (MPC) scheme for tracking of dynamic target signals. The scheme combines stabilization and dynamic trajectory planning in one layer, thus ensuring constraint satisfaction irrespective of…

系统与控制 · 电气工程与系统科学 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

In adaptive-sampling control, the control frequency can be adjusted during task execution. Ensuring that these changes do not jeopardize the safety of the system being controlled requires attention. We introduce robust M-step hold model…

系统与控制 · 电气工程与系统科学 2026-05-08 Spencer Schutz , Charlott Vallon , Francesco Borrelli

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

系统与控制 · 电气工程与系统科学 2024-01-17 Kaijian Hu , Tao Liu

In this paper we present a Learning Model Predictive Control (LMPC) strategy for linear and nonlinear time optimal control problems. Our work builds on existing LMPC methodologies and it guarantees finite time convergence properties for the…

系统与控制 · 电气工程与系统科学 2020-10-06 Ugo Rosolia , Francesco Borrelli

Model Predictive Control (MPC) has proven to be a powerful tool for the control of systems with constraints. Nonetheless, in many applications, a major challenge arises, that is finding the optimal solution within a single sampling instant…

系统与控制 · 电气工程与系统科学 2023-08-16 Valentina Breschi , Simone Formentin , Alberto Leva

In this work, we propose an output-feedback tube-based model predictive control (MPC) scheme for linear systems under dynamic uncertainties that are described via integral quadratic constraints (IQC). By leveraging IQCs, a large class of…

系统与控制 · 电气工程与系统科学 2025-08-26 Lukas Schwenkel , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

The growing need for high-performance controllers in safety-critical applications like autonomous driving has been motivating the development of formal safety verification techniques. In this paper, we design and implement a predictive…

系统与控制 · 电气工程与系统科学 2021-02-25 Ben Tearle , Kim P. Wabersich , Andrea Carron , Melanie N. Zeilinger

Data-driven Model Predictive Control (MPC), where the system model is learned from data with machine learning, has recently gained increasing interests in the control community. Gaussian Processes (GP), as a type of statistical models, are…

系统与控制 · 计算机科学 2019-10-03 Truong X. Nghiem

This paper studies the problem of distributionally robust model predictive control (MPC) using total variation distance ambiguity sets. For a discrete-time linear system with additive disturbances, we provide a conditional value-at-risk…

系统与控制 · 电气工程与系统科学 2022-06-27 Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

最优化与控制 · 数学 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

This paper presents an extension to the nonlinear Model Predictive Control for Tracking scheme able to guarantee convergence even in cases of non-convex output admissible sets. This is achieved by incorporating a convexifying homeomorphism…

系统与控制 · 电气工程与系统科学 2020-07-15 Andres Cotorruelo , Daniel R. Ramirez , Daniel Limon , Emanuele Garone

This paper investigates stochastic invariance for control systems through probabilistic controlled invariant sets (PCISs). As a natural complement to robust controlled invariant sets~(RCISs), we propose finite- and infinite-horizon PCISs,…

系统与控制 · 计算机科学 2021-07-06 Yulong Gao , Karl H. Johansson , Lihua Xie

The core of the Model Predictive Control (MPC) method in every step of the algorithm consists in solving a time-dependent optimization problem on the prediction horizon of the MPC algorithm, and then to apply a portion of the optimal…

最优化与控制 · 数学 2021-01-15 Alessandro Alla , Carmen Gräßle , Michael Hinze

This paper proposes an Adaptive Learning Model Predictive Control strategy for uncertain constrained linear systems performing iterative tasks. The additive uncertainty is modeled as the sum of a bounded process noise and an unknown…

系统与控制 · 计算机科学 2018-04-27 Monimoy Bujarbaruah , Xiaojing Zhang , Ugo Rosolia , Francesco Borrelli

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

最优化与控制 · 数学 2016-05-04 Ashkan Jasour , Constantino Lagoa

Optimal control for safety-critical systems is often dependent on the conservativeness of constraints. Control Barrier Functions (CBFs) serve as a medium to represent such constraints, but constructing a minimally conservative CBF is a…

系统与控制 · 电气工程与系统科学 2026-05-08 Tanmay Dokania , Yashwanth Kumar Nakka