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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 proposes the algorithm NOWPAC (Nonlinear Optimization With Path-Augmented Constraints) for nonlinear constrained derivative-free optimization. The algorithm uses a trust region framework based on fully linear models for the…

最优化与控制 · 数学 2015-11-18 F. Augustin , Y. M. Marzouk

We propose a novel coded integrated passive sensing and communication (CIPSAC) system with orthogonal frequency division multiplexing (OFDM), where a multi-antenna base station (BS) passively senses the parameters of the targets and decodes…

信号处理 · 电气工程与系统科学 2025-02-19 Chenghong Bian , Kaitao Meng , Huihui Wu , Yumeng Zhang , Deniz Gunduz

In this work, we present a globalized stochastic semismooth Newton method for solving stochastic optimization problems involving smooth nonconvex and nonsmooth convex terms in the objective function. We assume that only noisy gradient and…

最优化与控制 · 数学 2018-03-12 Andre Milzarek , Xiantao Xiao , Shicong Cen , Zaiwen Wen , Michael Ulbrich

A number of optimal decision problems with uncertainty can be formulated into a stochastic optimal control framework. The Least-Squares Monte Carlo (LSMC) algorithm is a popular numerical method to approach solutions of such stochastic…

计算金融 · 定量金融 2019-01-23 Zhiyi Shen , Chengguo Weng

Dynamical systems with a distributed yet interconnected structure, like multi-rigid-body robots or large-scale multi-agent systems, introduce valuable sparsity into the system dynamics that can be exploited in an optimal control setting for…

机器人学 · 计算机科学 2021-04-08 Roshan Pradhan , Shuo Yang , Frank Dellaert , Howie Choset , Matthew Travers

Realistic modeling of qubit systems including noise and constraints imposed by control hardware is required for performance prediction and control optimization of quantum processors. We introduce qopt, a software framework for simulating…

量子物理 · 物理学 2022-03-30 Julian D. Teske , Pascal Cerfontaine , Hendrik Bluhm

In this paper we present an inexact zeroth-order method suitable for the solution nonsmooth and nonconvex stochastic composite optimization problems, in which the objective is split into a real-valued Lipschitz continuous stochastic…

最优化与控制 · 数学 2025-12-11 Spyridon Pougkakiotis , Dionysis Kalogerias

Stochastic computer simulations enable users to gain new insights into complex physical systems. Optimization is a common problem in this context: users seek to find model inputs that maximize the expected value of an objective function.…

最优化与控制 · 数学 2018-09-13 Atiye Alaeddini , Daniel J. Klein

Cross-entropy method model predictive control (CEM--MPC) is a powerful gradient-free technique for nonlinear optimal control, but its performance is often limited by the reliance on random sampling. This conventional approach can lead to…

系统与控制 · 电气工程与系统科学 2026-05-12 Markus Walker , Daniel Frisch , Uwe D. Hanebeck

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

最优化与控制 · 数学 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

In this paper, we focus on finding the global minimizer of a general unconstrained nonsmooth nonconvex optimization problem. Taking advantage of the smoothing method and the consensus-based optimization (CBO) method, we propose a novel…

最优化与控制 · 数学 2025-01-14 Jiazhen Wei , Wei Bian

Explicit model-predictive control (MPC) is a widely used control design method that employs optimization tools to find control policies offline; commonly it is posed as a semi-definite program (SDP) or as a mixed-integer SDP in the case of…

机器人学 · 计算机科学 2023-07-25 Oleg Balakhnov , Sergei Savin , Alexandr Klimchik

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

系统与控制 · 电气工程与系统科学 2024-02-21 Daniel D. Leister , Justin P. Koeln

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

We propose an efficient algorithm for the optimal control problems (OCPs) of nonlinear switched systems that optimizes the control input and switching instants simultaneously for a given switching sequence. We consider the switching…

最优化与控制 · 数学 2021-06-09 Sotaro Katayama , Toshiyuki Ohtsuka

Dynamic optimization problems (DOPs) are challenging due to their changing conditions. This requires algorithms to be highly adaptable and efficient in terms of finding rapidly new optimal solutions under changing conditions. Traditional…

神经与进化计算 · 计算机科学 2025-05-20 Federico Signorelli , Anil Yaman

Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either require exact knowledge of probabilistic distributions, or rely…

最优化与控制 · 数学 2020-01-03 Chao Shang , Fengqi You

This paper presents an efficient Mixed-Integer Nonlinear Programming (MINLP) formulation for systems with discrete control inputs under dwell time constraints. By viewing such systems as a switched system, the problem is decomposed into a…

最优化与控制 · 数学 2025-01-10 Ramin Abbasi-Esfeden , Armin Nurkanovic , Moritz Diehl , Panagiotis Patrinos , Jan Swevers

This study focuses on the numerical discretization methods for the continuous-time discounted linear-quadratic optimal control problem (LQ-OCP) with time delays. By assuming piecewise constant inputs, we formulate the discrete system…

最优化与控制 · 数学 2024-07-29 Zhanhao Zhang , Steen Hørsholt , John Bagterp Jørgensen