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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

This paper shows that the optimal policy and value functions of a Markov Decision Process (MDP), either discounted or not, can be captured by a finite-horizon undiscounted Optimal Control Problem (OCP), even if based on an inexact model.…

系统与控制 · 电气工程与系统科学 2023-02-08 Arash Bahari Kordabad , Mario Zanon , Sebastien Gros

Model Predictive Control (MPC) has exhibited remarkable capabilities in optimizing objectives and meeting constraints. However, the substantial computational burden associated with solving the Optimal Control Problem (OCP) at each…

机器人学 · 计算机科学 2024-05-09 Yu Luo , Qie Sima , Tianying Ji , Fuchun Sun , Huaping Liu , Jianwei Zhang

This article introduces a numerical algorithm that serves as a preliminary step toward solving continuous-time model predictive control (MPC) problems directly without explicit time-discretization. The chief ingredients of the underlying…

最优化与控制 · 数学 2024-01-24 Souvik Das , Siddhartha Ganguly , Muthyala Anjali , Debasish Chatterjee

We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex stage costs for constrained linear uncertain systems.…

最优化与控制 · 数学 2025-04-24 Eunhyek Joa , Francesco Borrelli

In this paper we investigate the optimal controller synthesis problem, so that the system under the controller can reach a specified target set while satisfying given constraints. Existing model predictive control (MPC) methods learn from a…

最优化与控制 · 数学 2023-06-22 Dejin Ren , Wanli Lu , Jidong Lv , Lijun Zhang , Bai Xue

For any suitable Optimal Control Problem (OCP) there exists a value function, defined as the unique viscosity solution to the Hamilton-Jacobi-Bellman (HJB) Partial-Differential-Equation (PDE), and which can be used to design an optimal…

最优化与控制 · 数学 2023-01-31 Morgan Jones , Matthew M. Peet

This paper studies the optimal control problem for discrete-time nonlinear systems and an approximate dynamic programming-based Model Predictive Control (MPC) scheme is proposed for minimizing a quadratic performance measure. In the…

系统与控制 · 电气工程与系统科学 2023-12-12 Keerthi Chacko , Midhun T. Augustine , S. Janardhanan , Deepak U. Patil , I. N. Kar

This paper presents a time-optimal Model Predictive Control (MPC) scheme for linear discrete-time systems subject to multiplicative uncertainties represented by interval matrices. To render the uncertainty propagation computationally…

系统与控制 · 电气工程与系统科学 2026-03-26 Renato Quartullo , Andrea Garulli , Mirko Leomanni

In this paper, we consider the robust closed-loop model predictive control (MPC) of a linear time-variant (LTV) system with norm bounded disturbances and LTV model uncertainty, wherein a series of constrained optimal control problems (OCPs)…

最优化与控制 · 数学 2020-06-16 Shaoru Chen , Han Wang , Manfred Morari , Victor M. Preciado , Nikolai Matni

In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon using distributed algorithms. Typically, such algorithms require…

系统与控制 · 电气工程与系统科学 2023-03-28 Giuseppe Belgioioso , Dominic Liao-McPherson , Mathias Hudoba de Badyn , Nicolas Pelzmann , John Lygeros , Florian Dörfler

Model Predictive Control (MPC) has shown the great performance of target optimization and constraint satisfaction. However, the heavy computation of the Optimal Control Problem (OCP) at each triggering instant brings the serious delay from…

机器人学 · 计算机科学 2021-03-18 Yu Luo , Mingxuan Jing , Tianying Ji , Fuchun Sun , Huaping Liu

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

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

This paper is about a real-time model predictive control (MPC) algorithm for a particular class of model based controllers, whose objective consists of a nominal tracking objective and an additional learning objective. Here, the…

最优化与控制 · 数学 2016-11-09 Xuhui Feng , Boris Houska

Model Predictive Control (MPC) is a classic tool for optimal control of complex, real-world systems. Although it has been successfully applied to a wide range of challenging tasks in robotics, it is fundamentally limited by the prediction…

机器人学 · 计算机科学 2021-04-08 Nathan Hatch , Byron Boots

Sampling-based Model Predictive Control (MPC) is a flexible control framework that can reason about non-smooth dynamics and cost functions. Recently, significant work has focused on the use of machine learning to improve the performance of…

机器人学 · 计算机科学 2022-12-07 Jacob Sacks , Byron Boots

Model Predictive Control (MPC) is often tuned by trial and error. When a baseline linear controller exists that is already well tuned in the absence of constraints and MPC is introduced to enforce them, one would like to avoid altering the…

系统与控制 · 电气工程与系统科学 2021-11-01 Mario Zanon , Alberto Bemporad

The main challenge in controlling hybrid systems arises from having to consider an exponential number of sequences of future modes to make good long-term decisions. Model predictive control (MPC) computes a control action through a…

最优化与控制 · 数学 2021-06-09 Sandeep Menta , Joseph Warrington , John Lygeros , Manfred Morari

This paper presents a novel distributed model predictive control (MPC) formulation without terminal cost and a corresponding distributed synthesis approach for distributed linear discrete-time systems with coupled constraints. The proposed…

系统与控制 · 电气工程与系统科学 2026-05-28 Xiaoyu Liu , Dimos V. Dimarogonas , Changxin Liu , Azita Dabiri , Bart De Schutter
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