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This paper studies an optimal control problem for a string of vehicles with safety requirements and finite-time specifications on the approach time to a target region. Our problem formulation is motivated by scenarios involving autonomous…

Optimization and Control · Mathematics 2017-07-14 Pavankumar Tallapragada , Jorge Cortes

In this work, we develop reduced order models (ROMs) to predict solutions to a multiscale kinetic transport equation with a diffusion limit under the parametric setting. When the underlying scattering effect is not sufficiently strong, the…

Numerical Analysis · Mathematics 2025-05-14 Tianyu Jin , Zhichao Peng , Yang Xiang

This work proposes a solution for the longitudinal and lateral control problem of urban autonomous vehicles using a gain scheduling LPV control approach. Using the kinematic and dynamic vehicle models, a linear parameter varying (LPV)…

Systems and Control · Computer Science 2017-12-04 Eugenio Alcalá , Vicenç Puig , Joseba Quevedo , Teresa Escobet

A hybrid dynamical system switches between dynamic regimes at time- or state-triggered events. We propose an offline algorithm that simultaneously estimates discrete and continuous components of a hybrid system's state. We formulate state…

Optimization and Control · Mathematics 2019-05-23 Jize Zhang , Andrew M. Pace , Samuel A. Burden , Aleksandr Aravkin

In this paper, we address the scheduling problem of multi-mode real-time systems upon uniform multiprocessor platforms. We propose two transition protocols, specified together with their schedulability test, and provide the reader with two…

Operating Systems · Computer Science 2010-04-22 Patrick Meumeu Yomsi , Vincent Nelis , Joël Goossens

Multi-degree-of-freedom (DOF) robotic manipulators exhibit strongly nonlinear, high-dimensional, and coupled dynamics, posing significant challenges for controller design. To address these issues, this work proposes a unified hybrid control…

Systems and Control · Electrical Eng. & Systems 2026-03-06 Xinyu Qiao , Yongyang Xiong , Yu Han , Keyou You

In this paper, we study the optimal control problem for steering the state covariance of a discrete-time linear stochastic system over a finite time horizon. First, we establish the existence and uniqueness of the optimal control law for a…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Fengjiao Liu , George Rapakoulias , Panagiotis Tsiotras

Currently, many machine learning algorithms contain lots of iterations. When it comes to existing large-scale distributed systems, some slave nodes may break down or have lower efficiency. Therefore traditional machine learning algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Junxiong Wang , Hongzhi Wang , Chenxu Zhao

Multi-mode resource and precedence-constrained project scheduling is a well-known challenging real-world optimisation problem. An important variant of the problem requires scheduling of activities for multiple projects considering…

Data Structures and Algorithms · Computer Science 2016-09-09 Shahriar Asta , Daniel Karapetyan , Ahmed Kheiri , Ender Özcan , Andrew J. Parkes

The precise motion control of a multi-degree of freedom~(DOF) robot manipulator is always challenging due to its nonlinear dynamics, disturbances, and uncertainties. Because most manipulators are controlled by digital signals, a novel…

Robotics · Computer Science 2021-02-09 Zhian Kuang , Xiang Zhang , Liting Sun , Huijun Gao , Masayoshi Tomizuka

The tie-line scheduling problem in a multi-area power system seeks to optimize tie-line power flows across areas that are independently operated by different system operators (SOs). In this paper, we leverage the theory of multi-parametric…

Optimization and Control · Mathematics 2017-10-09 Ye Guo , Subhonmesh Bose , Lang Tong

This article proposes a data-driven $H_{\infty}$ control scheme for time-domain constrained systems based on model predictive control formulation. The scheme combines $H_{\infty}$ control and minimax model predictive control, enabling more…

Optimization and Control · Mathematics 2025-03-18 Wenhuang Wu , Lulu Guo , Nan Li , Hong Chen

In this contribution we develop an efficient reduced order model for solving parametrized linear-quadratic optimal control problems with linear time-varying state system. The fully reduced model combines reduced basis approximations of the…

Numerical Analysis · Mathematics 2024-08-29 Hendrik Kleikamp , Lukas Renelt

Recent studies have shown that adaptively regulating the sampling rate results in significant reduction in computational resources in embedded software based control. Selecting a uniform sampling rate for a control loop is robust, but…

Systems and Control · Computer Science 2015-06-30 Rajorshee Raha , Soumyajit Dey , Partha Pratim Chakrabarti , Pallab Dasgupta

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

This paper presents a method to verify closed-loop properties of optimization-based controllers for deterministic and stochastic constrained polynomial discrete-time dynamical systems. The closed-loop properties amenable to the proposed…

Optimization and Control · Mathematics 2016-11-16 Milan Korda , Colin N. Jones

In this paper, we consider the mixed optimal control of a linear stochastic system with a quadratic cost functional, with two controllers-one can choose only deterministic time functions, called the deterministic controller, while the other…

Optimization and Control · Mathematics 2017-08-23 Ying Hu , Shanjian Tang

Fast and safe manipulation of flexible objects with a robot manipulator necessitates measures to cope with vibrations. Existing approaches either increase the task execution time or require complex models and/or additional instrumentation…

We consider the problem of finding optimal time-periodic sensor schedules for estimating the state of discrete-time dynamical systems. We assume that {multiple} sensors have been deployed and that the sensors are subject to resource…

Applications · Statistics 2016-11-17 Sijia Liu , Makan Fardad , Engin Masazade , Pramod K. Varshney

In this paper, scheduling problems of aircraft minimizing the total delays on a same runway and on dual runways are studied. In contrast to the algorithms based on mixed-integer optimization models in existing works, where the optimality…

Optimization and Control · Mathematics 2026-03-18 Peng Lin , Haopeng Yang