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This paper presents an algorithm to solve the infinite horizon constrained linear quadratic regulator (CLQR) problem using operator splitting methods. First, the CLQR problem is reformulated as a (finite-time) model predictive control (MPC)…

最优化与控制 · 数学 2016-09-20 L. Ferranti , G. Stathopoulos , C. N. Jones , T. Keviczky

This paper focuses on the discrete-time backward stochastic linear quadratic (BSLQ) optimal control problem with nonhomogeneous system terms and cost function cross terms. The terminal constraint of such systems distinguishes it from…

最优化与控制 · 数学 2026-04-14 Hu Ligui , Meng Qingxin , Tang Maoning

We analyze the asymptotic behavior of discrete-time, Markovian quantum systems with respect to a subspace of interest. Global asymptotic stability of subspaces is relevant to quantum information processing, in particular for initializing…

量子物理 · 物理学 2014-08-07 Saverio Bolognani , Francesco Ticozzi

A critical engineering challenge in quantum technology is the accurate control of quantum dynamics. Model-based methods for optimal control have been shown to be highly effective when theory and experiment closely match. Consequently,…

量子物理 · 物理学 2022-10-19 Andy J. Goldschmidt , Jonathan L. DuBois , Steven L. Brunton , J. Nathan Kutz

A centralized model predictive controller (MPC), which is unaware of local uncertainties, for an affine discrete time nonlinear system is presented. The local uncertainties are assumed to be matched, bounded and structured. In order to…

最优化与控制 · 数学 2020-09-15 Prabhat K. Mishra , Tixian Wang , Mattia Gazzola , Girish Chowdhary

Model predictive control (MPC) provides a useful means for controlling systems with constraints, but suffers from the computational burden of repeatedly solving an optimization problem in real time. Offline (explicit) solutions for MPC…

系统与控制 · 电气工程与系统科学 2022-09-14 Daniel Tabas , Baosen Zhang

This paper presents a parallel Monte Carlo simulation based performance quantification method for nonlinear model predictive control (NMPC) in closed-loop. The method provides distributions for the controller performance in stochastic…

系统与控制 · 电气工程与系统科学 2023-06-22 Morten Wahlgreen Kaysfeld , Mario Zanon , John Bagterp Jørgensen

Continuation model predictive control (MPC), introduced by T. Ohtsuka in 2004, uses Krylov-Newton approaches to solve MPC optimization and is suitable for nonlinear and minimum time problems. We suggest particle continuation MPC in the…

最优化与控制 · 数学 2016-06-13 Andrew Knyazev , Alexander Malyshev

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

最优化与控制 · 数学 2015-11-24 Yin-Lam Chow , Marco Pavone

Online optimal control of quadrupedal robots would enable them to plan their movement in novel scenarios. Linear Model Predictive Control (LMPC) has emerged as a practical approach for real-time control. In LMPC, an optimization problem…

机器人学 · 计算机科学 2025-07-22 Chun-Ming Yang , Pranav A. Bhounsule

We present a robust Distributed and Localized Model Predictive Control (rDLMPC) framework for large-scale structured linear systems. The proposed algorithm uses the System Level Synthesis to provide a distributed closed-loop model…

最优化与控制 · 数学 2021-03-29 Carmen Amo Alonso , Jing Shuang Li , Nikolai Matni , James Anderson

This paper proposes a robust self-triggered distributed model predictive control (DMPC) scheme for a family of Discrete-Time linear systems with local (uncoupled) and global (coupled) constraints. To handle the additive disturbance,…

系统与控制 · 电气工程与系统科学 2020-12-17 Zhengcai Li

Data-enabled predictive control (DeePC) has emerged as a powerful technique to control complex systems without the need for extensive modeling efforts. However, relying solely on offline collected data trajectories to represent the system…

系统与控制 · 电气工程与系统科学 2025-08-06 Sebastian Zieglmeier , Mathias Hudoba de Badyn , Narada D. Warakagoda , Thomas R. Krogstad , Paal Engelstad

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…

系统与控制 · 电气工程与系统科学 2023-09-11 Kristína Fedorová , Yuning Jiang , Juraj Oravec , Colin N. Jones , Michal Kvasnica

This paper is concerned with the linear quadratic (LQ) optimal control of continuous-time system with terminal state constraint. In particular, multiple agents exist in the system which can only access partial information of the matrix…

最优化与控制 · 数学 2025-10-21 Wenjing Yang , Zhaorong Zhang , Juanjuan Xu

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

This paper is concerned with a linear quadratic optimal control problem of delayed backward stochastic differential equations. An explicit representation is derived for the optimal control, which is a linear feedback of the entire past…

最优化与控制 · 数学 2020-08-07 Weijun Meng , Jingtao Shi

In this study, we are concerned with autonomous driving missions when a static obstacle blocks a given reference trajectory. To provide a realistic control design, we employ a model predictive control (MPC) utilizing nonlinear state-space…

系统与控制 · 电气工程与系统科学 2023-07-13 Maryam Nezami , Dimitrios S. Karachalios , Georg Schildbach , Hossam S. Abbas

Model Predictive Control (MPC) is a versatile approach capable of accommodating diverse control requirements that holds significant promise for a broad spectrum of industrial applications. Noteworthy challenges associated with MPC include…

系统与控制 · 电气工程与系统科学 2025-04-28 Ryuta Moriyasu , Sho Kawaguchi , Kenji Kashima

Model predictive control (MPC) has played a more crucial role in various robotic control tasks, but its high computational requirements are concerning, especially for nonlinear dynamical models. This paper presents a $\textbf{la}$tent…

机器人学 · 计算机科学 2026-04-22 Yuan Zhang , Shaohui Yang , Toshiyuki Ohtsuka , Colin Jones , Joschka Boedecker