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A general, variational approach to derive low-order reduced systems is presented. The approach is based on the concept of optimal parameterizing manifold (OPM) that substitutes the more classical notions of invariant or slow manifold when…

动力系统 · 数学 2023-09-18 Mickaël D. Chekroun , Honghu Liu , James C. McWilliams

PCBs are the core components for the devices ranging from the consumer electronics to military applications. Due to the accessibility of the PCBs, they are vulnerable to the attacks such as probing, eavesdropping, and reverse engineering.…

密码学与安全 · 计算机科学 2019-04-23 Zimu Guo , Xiaolin Xu , Mark M. Tehranipoor , Domenic Forte

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

最优化与控制 · 数学 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry

The problem of optimal switching between nonlinear autonomous subsystems is investigated in this study where the objective is not only bringing the states to close to the desired point, but also adjusting the switching pattern, in the sense…

系统与控制 · 计算机科学 2014-11-19 Ali Heydari

The paper investigates data-driven output-feedback predictive control of linear systems subject to stochastic disturbances. The scheme relies on the recursive solution of a suitable data-driven reformulation of a stochastic Optimal Control…

系统与控制 · 电气工程与系统科学 2022-12-16 Guanru Pan , Ruchuan Ou , Timm Faulwasser

This paper deals with distributed control of microgrids composed of storages, generators, renewable energy sources, critical and controllable loads. We consider a stochastic formulation of the optimal control problem associated to the…

最优化与控制 · 数学 2021-06-16 Andrea Camisa , Giuseppe Notarstefano

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

系统与控制 · 电气工程与系统科学 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen

We propose a formulation for approximate constrained nonlinear output-feedback stochastic model predictive control. Starting from the ideal but intractable stochastic optimal control problem (OCP), which involves the optimization over…

最优化与控制 · 数学 2023-01-10 Florian Messerer , Katrin Baumgärtner , Moritz Diehl

We study the Optimal Control Problem (OCP) for regular linear differential-algebraic systems (DAEs). To this end, we introduce the input index, which allows, on the one hand, to characterize the space of consistent initial values in terms…

最优化与控制 · 数学 2022-02-08 Achim Ilchmann , Leslie Leben , Jonas Witschel , Karl Worthmann

This paper presents a pseudo-spectral method for Dynamic Optimization Problems (DOPs) that allows for tight polynomial bounds to be achieved via flexible sub-intervals. The proposed method not only rigorously enforces inequality…

最优化与控制 · 数学 2026-04-08 Eduardo M. G. Vila , Eric C. Kerrigan , Paul Bruce

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

Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional systems. To overcome this challenge, we focus on developing…

最优化与控制 · 数学 2024-12-30 Tobias Breiten , Shubhaditya Burela , Philipp Schulze

In this letter, we present an alternative mixed-integer non-liner programming formulation of the reactive optimal power flow (ROPF) problem. We utilize a mixed-integer second-order cone programming (MISOCP) based approach to find global…

最优化与控制 · 数学 2021-03-12 Sezen Ece Kayacık , Burak Kocuk

We address a general optimal switching problem over finite horizon for a stochastic system described by a differential equation driven by Brownian motion. The main novelty is the fact that we allow for infinitely many modes (or regimes,…

最优化与控制 · 数学 2019-08-07 Marco Fuhrman , Marie-Amélie Morlais

The linear complementarity problem (LCP) is a general set membership problem that includes quadratic cone programming as a special case. In this work we consider a homogeneous embedding of the LCP, which encodes both the optimality…

最优化与控制 · 数学 2021-06-15 Brendan O'Donoghue

We examine the \emph{submodular maximum coverage problem} (SMCP), which is related to a wide range of applications. We provide the first variational approximation for this problem based on the Nemhauser divergence, and show that it can be…

机器学习 · 计算机科学 2020-06-11 Jian Du , Zhigang Hua , Shuang Yang

We analytically solve the finite-time control problem of driving an overdamped particle via an optical trap under costly measurement. By formulating this mesoscopic information engine within the Partially Observable Markov Decision Process…

统计力学 · 物理学 2026-04-10 Emanuele Panizon

Optimal pulse patterns (OPPs) are a modulation technique in which a switching signal is computed offline through an optimization process that accounts for selected performance criteria, such as current harmonic distortion. The optimization…

系统与控制 · 电气工程与系统科学 2025-12-10 Jared Miller , Petros Karamanakos , Tobias Geyer

Switched systems in which the manipulated control action is the time-depending switching signal describe many engineering problems, mainly related to biomedical applications. In such a context, to control the system means to select an…

The interconnected power system presents a great challenge to both system analyzers and control designers. The load-frequency control (LFC) problem has gained much importance because of the complexity and size of modern interconnected power…

系统与控制 · 计算机科学 2019-03-11 A. Bensenouci , A. M. Abdel Ghany