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Decision making under uncertainty is critical to real-world, autonomous systems. Model Predictive Control (MPC) methods have demonstrated favorable performance in practice, but remain limited when dealing with complex probability…

机器人学 · 计算机科学 2021-04-13 Alexander Lambert , Adam Fishman , Dieter Fox , Byron Boots , Fabio Ramos

Model Predictive Control (MPC) offers a versatile framework for constraint handling and multi-objective optimisation, yet practical application faces challenges regarding initial and recursive feasibility, robustness against model…

最优化与控制 · 数学 2026-02-27 Dario Dennstädt

We propose a robust model predictive control (MPC) method for discrete-time linear time-invariant systems with norm-bounded additive disturbances and model uncertainty. In our method, at each time step we solve a finite time robust optimal…

系统与控制 · 电气工程与系统科学 2021-11-11 Shaoru Chen , Nikolai Matni , Manfred Morari , Victor M. Preciado

Many popular approaches in the field of robust model predictive control (MPC) are based on nominal predictions. This paper presents a novel formulation of this class of controller with proven input-to-state stability and robust constraint…

系统与控制 · 电气工程与系统科学 2022-02-22 Ignacio Alvarado , Pablo Krupa , Daniel Limon , Teodoro Alamo

Many control applications require that a system be constrained to a particular set of states, often termed as safe set. A practical and flexible method for rendering safe sets forward-invariant involves computing control input using Control…

最优化与控制 · 数学 2021-06-11 James Usevitch , Kunal Garg , Dimitra Panagou

In this paper, we propose a distributed model predictive control (DMPC) scheme for linear time-invariant constrained systems which admit a separable structure. To exploit the merits of distributed computation algorithms, the stabilizing…

最优化与控制 · 数学 2018-03-22 Georgios Darivianakis , Annika Eichler , John Lygeros

This work proposes a novel robust model predictive control (MPC) algorithm for linear systems affected by dynamic model uncertainty and exogenous disturbances. The uncertainty is modeled using a linear fractional perturbation structure with…

系统与控制 · 电气工程与系统科学 2022-06-10 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

This paper presents an adaptive tracking model predictive control (MPC) scheme to control unknown nonlinear systems based on an adaptively estimated linear model. The model is determined based on linear system identification using a moving…

系统与控制 · 电气工程与系统科学 2024-05-17 Tatiana Strelnikova , Johannes Köhler , Julian Berberich

Model predictive control (MPC) has shown great success for controlling complex systems such as legged robots. However, when closing the loop, the performance and feasibility of the finite horizon optimal control problem (OCP) solved at each…

In this paper we develop a novel, discrete-time optimal control framework for mechanical systems with uncertain model parameters. We consider finite-horizon problems where the performance index depends on the statistical moments of the…

最优化与控制 · 数学 2017-05-17 George I. Boutselis , Yunpeng Pan , Gerardo De La Tore , Evangelos A. Theodorou

We study data-driven computation of probabilistic controlled invariant sets (PCIS) for safety-critical reinforcement learning under unknown dynamics. Assuming a linear MDP model, we use regularized least squares and self-normalized…

系统与控制 · 电气工程与系统科学 2026-04-06 Kazumune Hashimoto , Shunki Kimura , Kazunobu Serizawa , Junya Ikemoto , Yulong Gao , Kai Cai

This paper presents a novel model predictive control (MPC) formulation for set-point tracking. Stabilizing predictive controllers based on terminal ingredients may exhibit stability and feasibility issues in the event of a reference change…

系统与控制 · 电气工程与系统科学 2021-02-01 Pablo Krupa , Daniel Limon , Teodoro Alamo

This paper proposes a stabilising model predictive control (MPC) scheme with preview information of disturbance for nonlinear systems. The proposed MPC algorithm is able to not only reject disturbance by making use of disturbance preview…

系统与控制 · 电气工程与系统科学 2022-02-28 Xing Fang , Wen-Hua Chen

Model predictive control (MPC) for tracking is a recently introduced approach, which extends standard MPC formulations by incorporating an artificial reference as an additional optimization variable, in order to track external and…

系统与控制 · 电气工程与系统科学 2025-08-25 Nadine Ehmann , Matthias Köhler , Frank Allgöwer

Deterministic model predictive control (MPC), while powerful, is often insufficient for effectively controlling autonomous systems in the real-world. Factors such as environmental noise and model error can cause deviations from the expected…

最优化与控制 · 数学 2024-07-29 Alex Oshin , Hassan Almubarak , Evangelos A. Theodorou

We study unconstrained and constrained linear quadratic problems and investigate the suboptimality of the model predictive control (MPC) method applied to such problems. Considering MPC as an approximate scheme for solving the related fixed…

最优化与控制 · 数学 2023-06-06 Yuchao Li , Aren Karapetyan , John Lygeros , Karl H. Johansson , Jonas Mårtensson

This paper presents the development and implementation of a Model Predictive Control (MPC) framework for trajectory tracking in autonomous vehicles under diverse driving conditions. The proposed approach incorporates a modular architecture…

机器人学 · 计算机科学 2025-06-06 Nitish Kumar , Rajalakshmi Pachamuthu

This paper discusses a novel probabilistic approach for the design of robust model predictive control (MPC) laws for discrete-time linear systems affected by parametric uncertainty and additive disturbances. The proposed technique is based…

系统与控制 · 计算机科学 2013-07-16 Giuseppe C. Calafiore , Lorenzo Fagiano

This manuscript contains technical results related to a particular approach for the design of Model Predictive Control (MPC) laws. The approach, named "generalized" terminal state constraint, induces the recursive feasibility of the…

系统与控制 · 计算机科学 2013-07-16 Lorenzo Fagiano , Andrew R. Teel

Model Predictive Control (MPC) is a well-established approach to solve infinite horizon optimal control problems. Since optimization over an infinite time horizon is generally infeasible, MPC determines a suboptimal feedback control by…

最优化与控制 · 数学 2022-10-26 Saskia Dietze , Martin A. Grepl