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Solving optimal control problems (OCPs) of autonomous agents operating under spatial and temporal constraints fast and accurately is essential in applications ranging from eco-driving of autonomous vehicles to quadrotor navigation. However,…

机器人学 · 计算机科学 2026-01-07 Shiying Dong , Zhipeng Shen , Rudolf Reiter , Hailong Huang , Bingzhao Gao , Hong Chen , Wen-Hua Chen

Many robotics tasks, such as path planning or trajectory optimization, are formulated as optimal control problems (OCPs). The key to obtaining high performance lies in the design of the OCP's objective function. In practice, the objective…

系统与控制 · 电气工程与系统科学 2025-04-02 Trevor Barron , Xiaojing Zhang

Model predictive control (MPC) is an optimal control technique which involves solving a sequence of constrained optimization problems across a given time horizon. In this paper, we introduce a category theoretic framework for constructing…

最优化与控制 · 数学 2024-03-12 Tyler Hanks , Baike She , Matthew Hale , Evan Patterson , Matthew Klawonn , James Fairbanks

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

Recently, suboptimality estimates for model predictive controllers (MPC) have been derived for the case without additional stabilizing endpoint constraints or a Lyapunov function type endpoint weight. The proposed methods yield a posteriori…

最优化与控制 · 数学 2015-03-19 Thomas Jahn , Jürgen Pannek

Model predictive control (MPC) is one of the most successful modern control methods. It relies on repeatedly solving a finite-horizon optimal control problem and applying the beginning piece of the optimal input. In this paper, we develop a…

系统与控制 · 电气工程与系统科学 2025-09-08 Eya Guizani , Julian Berberich

Tight performance specifications in combination with operational constraints make model predictive control (MPC) the method of choice in various industries. As the performance of an MPC controller depends on a sufficiently accurate…

系统与控制 · 电气工程与系统科学 2020-06-09 Kim P. Wabersich , Melanie N. Zeilinger

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 consider optimal control problems involving two constraint sets: one comprised of linear ordinary differential equations with the initial and terminal states specified and the other defined by the control variables constrained by simple…

最优化与控制 · 数学 2024-01-17 Regina S. Burachik , C. Yalçın Kaya , Walaa M. Moursi

Model predictive control (MPC) of hybrid dynamical systems is challenging because the associated optimization problem is nonsmooth and the resulting feedback law is discontinuous. This paper develops real-time MPC algorithms for nonlinear…

最优化与控制 · 数学 2026-04-21 Armin Nurkanović , Anton Pozharskiy , Moritz Diehl

Optimal controller synthesis is a bilinear problem and hence difficult to solve in a computationally efficient manner. We are able to resolve this bilinearity for systems with delay by first convexifying the problem in infinite-dimensions -…

系统与控制 · 计算机科学 2018-07-13 Matthew M. Peet

Feedback control synthesis for large-scale particle systems is reviewed in the framework of model predictive control (MPC). The high-dimensional character of collective dynamics hampers the performance of traditional MPC algorithms based on…

最优化与控制 · 数学 2024-02-27 Giacomo Albi , Sara Bicego , Michael Herty , Yuyang Huang , Dante Kalise , Chiara Segala

This technical report presents a method for designing a constrained output-feedback model predictive controller (MPC) that behaves in the same way as an existing baseline stabilising linear time invariant output-feedback controller when…

最优化与控制 · 数学 2011-09-14 Edward N. Hartley , Jan M. Maciejowski

This article introduces a novel distributionally robust model predictive control (DRMPC) algorithm for a specific class of controlled dynamical systems where the disturbance multiplies the state and control variables. These classes of…

最优化与控制 · 数学 2024-10-04 Souvik Das , Siddhartha Ganguly , Ashwin Aravind , Debasish Chatterjee

This article presents a dynamic regret analysis for stochastic model predictive control (SMPC) in linear systems with quadratic performance index and additive and multiplicative uncertainties. Under a finite support assumption, the problem…

最优化与控制 · 数学 2025-02-04 Sungho Shin , Sen Na , Mihai Anitescu

This paper addresses a continuous-time continuous-space chance-constrained stochastic optimal control (SOC) problem via a Hamilton-Jacobi-Bellman (HJB) partial differential equation (PDE). Through Lagrangian relaxation, we convert the…

最优化与控制 · 数学 2022-05-03 Apurva Patil , Alfredo Duarte , Aislinn Smith , Takashi Tanaka , Fabrizio Bisetti

This paper addresses an optimal control problem for a robot that has to find and collect a finite number of objects and move them to a depot in minimum time. The robot has fourth-order dynamics that change instantaneously at any pick-up or…

系统与控制 · 计算机科学 2021-01-27 Vladislav Nenchev , Christos G. Cassandras , Jörg Raisch

We consider the problem of optimizing the economic performance of nonlinear constrained systems subject to uncertain time-varying parameters and bounded disturbances. In particular, we propose an adaptive economic model predictive control…

系统与控制 · 电气工程与系统科学 2026-01-16 Maximilian Degner , Raffaele Soloperto , Melanie N. Zeilinger , John Lygeros , Johannes Köhler

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

The control of constrained systems using model predictive control (MPC) becomes more challenging when full state information is not available and when the nominal system model and measurements are corrupted by noise. Since these conditions…

系统与控制 · 电气工程与系统科学 2020-02-19 Joseph Lorenzetti , Marco Pavone