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This paper presents a method to approximately solve stochastic optimal control problems in which the cost function and the system dynamics are polynomial. For stochastic systems with polynomial dynamics, the moments of the state can be…

最优化与控制 · 数学 2017-02-24 Andrew Lamperski , Khem Raj Ghusinga , Abhyudai Singh

Solutions to optimal control problems can be discontinuous, even if all the functionals defining the problem are smooth. This can cause difficulties when numerically computing solutions to these problems. While conventional numerical…

最优化与控制 · 数学 2022-11-21 Lucian Nita , Eric C. Kerrigan , Eduardo M. G. Vila , Yuanbo Nie

We formulate an optimal scheduling problem for battery swapping that assigns to each electric vehicle (EV) a best station to swap its depleted battery based on its current location and state of charge. The schedule aims to minimize total…

最优化与控制 · 数学 2016-11-24 Pengcheng You , Steven H. Low , Wayes Tushar , Guangchao Geng , Chau Yuen , Zaiyue Yang , Youxian Sun

An important problem in the breeding of livestock, crops, and forest trees is the optimum of selection of genotypes that maximizes genetic gain. The key constraint in the optimal selection is a convex quadratic constraint that ensures…

最优化与控制 · 数学 2017-03-10 Sena Safarina , Satoko Moriguchi , Tim J. Mullin , Makoto Yamashita

We present a novel particle filtering framework for continuous-time dynamical systems with continuous-time measurements. Our approach is based on the duality between estimation and optimal control, which allows reformulating the estimation…

最优化与控制 · 数学 2021-10-08 Qinsheng Zhang , Amirhossein Taghvaei , Yongxin Chen

An optimal ergodic control problem (EC problem, for short) is investigated for a linear stochastic differential equation with quadratic cost functional. Constant nonhomogeneous terms, not all zero, appear in the state equation, which lead…

最优化与控制 · 数学 2020-04-24 Hongwei Mei , Qingmeng Wei , Jiongmin Yong

We show that the optimal decision policy for several types of Bayesian sequential detection problems has a threshold switching curve structure on the space of posterior distributions. This is established by using lattice programming and…

信息论 · 计算机科学 2015-03-17 Vikram Krishnamurthy

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

系统与控制 · 电气工程与系统科学 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

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 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

This paper proposes an iterative method to solve Mixed-Integer Optimal Control Problems arising from systems with switched dynamics. The so-called relaxed problem plays a central role within this context. Through a numerical example, it is…

最优化与控制 · 数学 2025-12-09 Ramin Abbasi-Esfeden , Wim Van Roy , Jan Swevers

In [1], we inaugurated a new area of optimal control (OC) theory that we called "periodic fractional OC theory," which was developed to find optimal ways to periodically control a fractional dynamic system. The typical mathematical…

最优化与控制 · 数学 2023-05-02 Kareem T. Elgindy

Bang-bang control is ubiquitous for Optimal Control Problems (OCPs) where the constrained control variable appears linearly in the dynamics and cost function. Based on the Pontryagin's Minimum Principle, the indirect method is widely used…

最优化与控制 · 数学 2023-12-04 Kun Wang , Zheng Chen , Zhenyu Wei , Fangmin Lu , Jun Li

This paper develops an efficient algorithm for the multi-period optimal dispatch of deterministic inverter-interfaced energy storage in an unbalanced distribution feeder with significant solar PV penetration. The three-phase, non-convex…

最优化与控制 · 数学 2020-04-03 Nawaf Nazir , Pavan Racherla , Mads Almassalkhi

We propose a control-oriented optimal experimental design (cOED) approach for linear PDE-constrained Bayesian inverse problems. In particular, we consider optimal control problems with uncertain parameters that need to be estimated by…

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

This work addresses the ecological-adaptive cruise control problem for connected electric vehicles by a computationally efficient robust control strategy. The problem is formulated in the space-domain with a realistic description of the…

系统与控制 · 电气工程与系统科学 2024-10-28 Sheng Yu , Xiao Pan , Anastasis Georgiou , Boli Chen , Imad M. Jaimoukha , Simos A. Evangelou

This article considers the stochastic optimal control of discrete-time linear systems subject to (possibly) unbounded stochastic disturbances, hard constraints on the manipulated variables, and joint chance constraints on the states. A…

最优化与控制 · 数学 2017-06-23 Joel A. Paulson , Edward A. Buehler , Richard D. Braatz , Ali Mesbah

This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta…

最优化与控制 · 数学 2026-03-17 Ethan Foss , Simone D'Amico

This paper considers the fundamental power allocation problem in cell-free massive mutiple-input and multiple-output (MIMO) systems which aims at maximizing the total energy efficiency (EE) under a sum power constraint at each access point…

信息论 · 计算机科学 2022-01-21 Trang C. Mai , Hien Quoc Ngo , Le-Nam Tran