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In this paper, we propose an efficient implementation of deep policy gradient method (PGM) for optimal control problems in continuous time. The proposed method has the ability to manage the allocation of computational resources, number of…

最优化与控制 · 数学 2025-02-25 Arash Fahim , Md. Arafatur Rahman

In this paper, we propose an efficient and flexible algorithm to solve dynamic mean-field planning problems based on an accelerated proximal gradient method. Besides an easy-to-implement gradient descent step in this algorithm, a crucial…

最优化与控制 · 数学 2021-03-01 Jiajia Yu , Rongjie Lai , Wuchen Li , Stanley Osher

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

系统与控制 · 电气工程与系统科学 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

Adaptive gradient methods have been increasingly adopted by deep learning community due to their fast convergence and reduced sensitivity to hyper-parameters. However, these methods come with limitations, such as increased memory…

机器学习 · 计算机科学 2024-12-17 Corrado Coppola , Lorenzo Papa , Irene Amerini , Laura Palagi

We present a new accelerated gradient-based method for solving smooth unconstrained optimization problems. The goal is to embed a heavy-ball type of momentum into the Fast Gradient Method (FGM). For this purpose, we devise a generalization…

最优化与控制 · 数学 2021-11-02 Endrit Dosti , Sergiy A. Vorobyov , Themistoklis Charalambous

This paper proposes an adaptive stochastic Model Predictive Control (MPC) strategy for stable linear time invariant systems in the presence of bounded disturbances. We consider multi-input multi-output systems that can be expressed by a…

系统与控制 · 计算机科学 2018-12-03 Monimoy Bujarbaruah , Xiaojing Zhang , Francesco Borrelli

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

Achieving optimal rates for stochastic composite convex optimization without prior knowledge of problem parameters remains a central challenge. In the deterministic setting, the auto-conditioned fast gradient method has recently been…

最优化与控制 · 数学 2026-04-15 Yao Ji , Guanghui Lan

Common approaches for direct model predictive control (MPC) for current reference tracking in power electronics suffer from the high computational complexity encountered when solving integer optimal control problems over long prediction…

最优化与控制 · 数学 2016-06-28 Bartolomeo Stellato , Tobias Geyer , Paul J. Goulart

In this paper we propose an Alternating Direction Method of Multipliers (ADMM) algorithm for solving a Model Predictive Control (MPC) optimization problem, in which the system has state and input constraints and a nonlinear input map. The…

最优化与控制 · 数学 2018-07-30 Sebastian East , Mark Cannon

Model predictive control (MPC) is a method to formulate the optimal scheduling problem for grid flexibilities in a mathematical manner. The resulting time-constrained optimization problem can be re-solved in each optimization time step…

系统与控制 · 电气工程与系统科学 2021-08-20 Steven de Jongh , Sina Steinle , Anna Hlawatsch , Felicitas Mueller , Michael Suriyah , Thomas Leibfried

Gradient Descent (GD) is a ubiquitous algorithm for finding the optimal solution to an optimization problem. For reduced computational complexity, the optimal solution $\mathrm{x^*}$ of the optimization problem must be attained in a minimum…

最优化与控制 · 数学 2023-06-01 Revati Gunjal , Sushama Wagh , Syed Shadab Nayyer , Alex Stankovic , Navdeep M. Singh

Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations…

系统与控制 · 电气工程与系统科学 2023-05-05 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

Differentiable model predictive control (MPC) offers a powerful framework for combining learning and control. However, its adoption has been limited by the inherently sequential nature of traditional optimization algorithms, which are…

最优化与控制 · 数学 2025-10-08 Emre Adabag , Marcus Greiff , John Subosits , Thomas Lew

Recently there has been an increasing interest in primal-dual methods for model predictive control (MPC), which require minimizing the (augmented) Lagrangian at each iteration. We propose a novel first order primal-dual method, termed…

最优化与控制 · 数学 2020-12-21 Yue Yu , Purnanand Elango , Behçet Açikmeşe

The expansion in automation of increasingly fast applications and low-power edge devices poses a particular challenge for optimization based control algorithms, like model predictive control. Our proposed machine-learning supported approach…

系统与控制 · 电气工程与系统科学 2025-01-08 Hendrik Alsmeier , Anton Savchenko , Rolf Findeisen

This paper presents a new approach to algorithmic composition, called predictive controlled music (PCM), which combines model predictive control (MPC) with music generation. PCM uses dynamic models to predict and optimize the music…

声音 · 计算机科学 2026-01-09 Midhun T. Augustine

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

We propose model predictive funnel control, a novel model predictive control (MPC) scheme building upon recent results in funnel control. The latter is a high-gain feedback methodology that achieves evolution of the measured output within…

最优化与控制 · 数学 2025-05-27 Jens Göbel , Dario Dennstädt , Lukas Lanza , Karl Worthmann , Thomas Berger , Tobias Damm

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
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