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This paper aims to develop a Newton-type method to solve a class of nonconvex composite programs. In particular, the nonsmooth part is possibly nonconvex. To tackle the nonconvexity, we develop a notion of strong prox-regularity which is…

最优化与控制 · 数学 2023-03-10 Jiang Hu , Kangkang Deng , Jiayuan Wu , Quanzheng Li

Partially observable Markov decision processes (POMDPs) provide a modeling framework for autonomous decision making under uncertainty and imperfect sensing, e.g. robot manipulation and self-driving cars. However, optimal control of POMDPs…

人工智能 · 计算机科学 2020-01-22 Mohamadreza Ahmadi , Rangoli Sharan , Joel W. Burdick

This paper focuses on the trajectory tracking control problem for an articulated unmanned ground vehicle. We propose and compare two approaches in terms of performance and computational complexity. The first uses a nonlinear mathematical…

系统与控制 · 电气工程与系统科学 2021-03-26 Erkan Kayacan , Wouter Saeys , Herman Ramon , Calin Belta , Joshua M. Peschel

This paper presents a Nonlinear Model Predictive Control (NMPC) scheme targeted at motion planning for mechatronic motion systems, such as drones and mobile platforms. NMPC-based motion planning typically requires low computation times to…

机器人学 · 计算机科学 2024-10-28 Dries Dirckx , Mathias Bos , Bastiaan Vandewal , Lander Vanroye , Wilm Decré , Jan Swevers

Autonomous vehicle's technology is expected to be disruptive for automotive industry in next years. This paper proposes a novel real-time trajectory planner based on a Nonlinear Model Predictive Control (NMPC) algorithm. A nonlinear single…

机器人学 · 计算机科学 2022-02-15 Stefano Arrigoni , Francesco Braghin , Federico Cheli

In this paper, we develop a computationally-efficient approach to minimum-time trajectory optimization using input-output data-based models, to produce an end-to-end data-to-control solution to time-optimal planning/control of dynamic…

系统与控制 · 电气工程与系统科学 2023-12-12 Nan Li , Ehsan Taheri , Ilya Kolmanovsky , Dimitar Filev

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

This paper proposes real-time sequential convex programming (RTSCP), a method for solving a sequence of nonlinear optimization problems depending on an online parameter. We provide a contraction estimate for the proposed method and, as a…

最优化与控制 · 数学 2015-03-19 Tran Dinh Quoc , Carlo Savorgnan , Moritz Diehl

This article introduces a numerical algorithm that serves as a preliminary step toward solving continuous-time model predictive control (MPC) problems directly without explicit time-discretization. The chief ingredients of the underlying…

最优化与控制 · 数学 2024-01-24 Souvik Das , Siddhartha Ganguly , Muthyala Anjali , Debasish Chatterjee

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

最优化与控制 · 数学 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

In this work we adapt a prediction-correction algorithm for continuous time-varying convex optimization problems to solve dynamic programs arising from Model Predictive Control. In particular, the prediction step tracks the evolution of the…

系统与控制 · 电气工程与系统科学 2019-11-25 Santiago Paternain , Manfred Morari , Alejandro Ribeiro

In this paper we present an active-set method for the solution of $\ell_1$-regularized convex quadratic optimization problems. It is derived by combining a proximal method of multipliers (PMM) strategy with a standard semismooth Newton…

最优化与控制 · 数学 2023-03-01 Spyridon Pougkakiotis , Jacek Gondzio , Dionysios S. Kalogerias

This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost…

最优化与控制 · 数学 2014-10-17 Stefan Streif , Matthias Karl , Ali Mesbah

This paper studies the optimal control problem for discrete-time nonlinear systems and an approximate dynamic programming-based Model Predictive Control (MPC) scheme is proposed for minimizing a quadratic performance measure. In the…

系统与控制 · 电气工程与系统科学 2023-12-12 Keerthi Chacko , Midhun T. Augustine , S. Janardhanan , Deepak U. Patil , I. N. Kar

This study presents incremental correction methods for refining neural network parameters or control functions entering into a continuous-time dynamic system to achieve improved solution accuracy in satisfying the interim point constraints…

最优化与控制 · 数学 2024-03-12 Namhoon Cho , Hyo-Sang Shin , Antonios Tsourdos , Davide Amato

Nonlinear dynamics and safety constraints typically result in a nonlinear programming problem when applying model predictive control to achieve safe output consensus. To avoid the heavy computational burden of solving a nonlinear…

系统与控制 · 电气工程与系统科学 2026-01-21 Chao Wang , Shuyuan Zhang , Lei Wang

We present a methodology for bounding the error term of an asymptotic solution to a singularly perturbed optimal control (SPOC) problem whose exact solution is known to be computationally intractable. In previous works, reduced or…

最优化与控制 · 数学 2016-10-20 Sei Howe , Panos Parpas

In this paper we develop a novel, discrete-time optimal control framework for mechanical systems with uncertain model parameters. We consider finite-horizon problems where the performance index depends on the statistical moments of the…

最优化与控制 · 数学 2017-05-17 George I. Boutselis , Yunpeng Pan , Gerardo De La Tore , Evangelos A. Theodorou

This paper addresses the trajectory-tracking problem under uncertain road-surface conditions for autonomous vehicles. We propose a stochastic nonlinear model predictive controller (SNMPC) that learns a tire--road friction model online using…

系统与控制 · 电气工程与系统科学 2023-05-09 Sean Vaskov , Rien Quirynen , Marcel Menner , Karl Berntorp

In many mobile robotics scenarios, such as drone racing, the goal is to generate a trajectory that passes through multiple waypoints in minimal time. This problem is referred to as time-optimal planning. State-of-the-art approaches either…

机器人学 · 计算机科学 2020-08-04 Philipp Foehn , Davide Scaramuzza