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This paper proposes the incorporation of static event-triggered control in the actuation path of Newton-based extremum seeking and its comparison with the earlier gradient version. As in the continuous methods, the convergence rate of the…

最优化与控制 · 数学 2025-02-04 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic , Paulo Tabuada

Reinforcement learning for control over continuous spaces typically uses high-entropy stochastic policies, such as Gaussian distributions, for local exploration and estimating policy gradient to optimize performance. Many robotic control…

机器学习 · 计算机科学 2024-04-03 Ya-Chien Chang , Sicun Gao

We present a novel extremum seeking method for affine connection mechanical control systems. The proposed control law involves periodic perturbation signals with sufficiently large amplitudes and frequencies. A suitable averaging analysis…

最优化与控制 · 数学 2022-11-30 Raik Suttner

In this study, we develop a stochastic optimal control approach with reinforcement learning structure to learn the unknown parameters appeared in the drift and diffusion terms of the stochastic differential equation. By choosing an…

最优化与控制 · 数学 2023-08-22 Shuzhen Yang

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

机器学习 · 计算机科学 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

We consider bounded extremum seeking controls for time-varying linear systems with uncertain coefficient matrices and measurement uncertainty. Using a new change of variables, Lyapunov functions, and a comparison principle, we provide…

最优化与控制 · 数学 2025-01-20 Frederic Mazenc , Michael Malisoff , Emilia Fridman

Stochastic coordinate descent algorithms are efficient methods in which each iterate is obtained by fixing most coordinates at their values from the current iteration, and approximately minimizing the objective with respect to the remaining…

机器学习 · 统计学 2025-04-02 Eméric Gbaguidi

In this paper, we present the discrete-time unbiased extremum seeking (ES) algorithm for n-dimensional (nD) static quadratic maps in the presence of unknown time-varying measurement delays bounded by known constants which can be large. The…

最优化与控制 · 数学 2026-04-07 Adam Jbara , Emilia Fridman , Xuefei Yang

This paper presents the design of an extremum seeking controller based on sliding modes and cyclic search for real-time optimization of non-linear multivariable dynamic systems. These systems have arbitrary relative degree, compensated by…

最优化与控制 · 数学 2024-07-31 Nerito Oliveira Aminde , Tiago Roux Oliveira , Liu Hsu

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

最优化与控制 · 数学 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

In this paper we validate, including experimentally, the effectiveness of a recent theoretical developments made by our group on control-affine Extremum Seeking Control (ESC) systems. In particular, our validation is concerned with the…

机器人学 · 计算机科学 2024-03-12 Shivam Bajpai , Ahmed A. Elgohary , Sameh A. Eisa

In quantum control, the robustness with respect to uncertainties in the system's parameters or driving field characteristics is of paramount importance and has been studied theoretically, numerically and experimentally. We test in this…

数值分析 · 数学 2019-12-04 Gabriel Turinici

This paper introduces an event-triggered source seeking control (ET-SSC) for autonomous vehicles modeled as the nonholonomic unicycle. The classical source seeking control is enhanced with static-triggering conditions to enable aperiodic…

最优化与控制 · 数学 2025-04-11 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic

Limited flight range is a common problem for multicopters. To alleviate this problem, we propose a method for finding the optimal speed and heading of a multicopter when flying a given path to achieve the longest flight range. Based on a…

机器人学 · 计算机科学 2020-07-22 Xiangyu Wu , Mark W. Mueller

This work addresses the problem of vehicle path planning in the presence of obstacles and uncertainties, which is a fundamental problem in robotics. While many path planning algorithms have been proposed for decades, many of them have dealt…

最优化与控制 · 数学 2018-09-11 Kazuhide Okamoto , Panagiotis Tsiotras

This paper investigates multivariable extremum seeking using unit-vector control. By employing the gradient algorithm and a polytopic embedding of the unknown Hessian matrix, we establish sufficient conditions, expressed as linear matrix…

This paper formulates a variational approach for treating observational uncertainty and/or computational model errors as stochastic transport in dynamical systems governed by action principles under nonholonomic constraints. For this…

经典物理 · 物理学 2018-10-23 Darryl D Holm , Vakhtang Putkaradze

In [22] a form of extremum seeking for control (ESC) was developed for the stabilization of uncertain nonlinear systems. In ESC the extremum seeker itself controls the systems through feedback rather than fine tuning a controller. The ESC…

动力系统 · 数学 2016-08-17 Alexander Scheinker , David Scheinker

This paper deals with the gradient-based extremum seeking control for multivariable maps under actuator saturation. By exploiting a polytopic embedding of the unknown Hessian, we derive a LMI-based synthesis condition to ensure that the…

This paper presents the design and analysis of the extremum seeking for static maps with input passed through a partial differential equation (PDE) of the diffusion type defined on a time-varying spatial domain whose boundary position is…

最优化与控制 · 数学 2023-11-14 Mauricio Linhares Galvao , Tiago Roux Oliveira , Miroslav Krstic