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This paper addresses the multivariable gradient-based extremum seeking control (ESC) subject to saturation. Two distinct saturation scenarios are investigated here: saturation acting on the input of the function to be optimized, which is…

Extremum seeking control (ESC) constitutes a powerful technique for online optimization with theoretical guarantees for convergence to the neighborhood of the optimizer under well-understood conditions. However, ESC requires a nonconstant…

Optimization and Control · Mathematics 2024-02-07 Juan A. Paredes , Jhon Manuel Portella , Dennis S. Bernstein , Ankit Goel

Extremum-seeking control (ESC) is widely used to optimize performance when the system dynamics are uncertain. However, sensitivity to sensor noise is a crucial issue in ESC implementation due to the use of high-pass filters or gradient…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Shashank Verma , Juan Augusto Paredes Salazar , Jhon Manuel Portella Delgado , Ankit Goel , Dennis S. Bernstein

Policy gradient (PG) methods are successful approaches to deal with continuous reinforcement learning (RL) problems. They learn stochastic parametric (hyper)policies by either exploring in the space of actions or in the space of parameters.…

Machine Learning · Computer Science 2024-05-31 Alessandro Montenegro , Marco Mussi , Alberto Maria Metelli , Matteo Papini

Evolutionary algorithms have been used to evolve a population of actors to generate diverse experiences for training reinforcement learning agents, which helps to tackle the temporal credit assignment problem and improves the exploration…

Neural and Evolutionary Computing · Computer Science 2023-04-21 Chengpeng Hu , Jiyuan Pei , Jialin Liu , Xin Yao

Evolution Strategy (ES) is a powerful black-box optimization technique based on the idea of natural evolution. In each of its iterations, a key step entails ranking candidate solutions based on some fitness score. For an ES method in…

Machine Learning · Computer Science 2023-02-22 Eshwar S R , Shishir Kolathaya , Gugan Thoppe

Safe reinforcement learning (safe RL) aims to respect safety requirements while optimizing long-term performance. In many practical applications, however, the problem involves an infinite number of constraints, known as semi-infinite safe…

Machine Learning · Computer Science 2025-11-07 Jiaming Zhang , Yujie Yang , Haoning Wang , Liping Zhang , Shengbo Eben Li

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…

Dynamical Systems · Mathematics 2016-08-17 Alexander Scheinker , David Scheinker

With the increasing pace of automation, modern robotic systems need to act in stochastic, non-stationary, partially observable environments. A range of algorithms for finding parameterized policies that optimize for long-term average…

Machine Learning · Computer Science 2019-09-04 David Nass , Boris Belousov , Jan Peters

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

Reinforcement learning has shown strong performance in robotic manipulation, but learned policies often degrade in performance when test conditions differ from the training distribution. This limitation is especially important in…

Robotics · Computer Science 2026-04-02 Shaifalee Saxena , Rafael Fierro , Alexander Scheinker

This work focuses on the optimization of the training trajectory orientation using a robot as an advanced exercise machine (AEM) and muscle activations as biofeedback. Muscle recruitment patterns depend on trajectory parameters of the AEMs…

Robotics · Computer Science 2021-04-26 Humberto De las Casas , Nicholas Chambers , Hanz Richter , Kenneth Sparks

Learning from Demonstration is increasingly used for transferring operator manipulation skills to robots. In practice, it is important to cater for limited data and imperfect human demonstrations, as well as underlying safety constraints.…

Robotics · Computer Science 2020-04-03 Ya-Yen Tsai , Bo Xiao , Edward Johns , Guang-Zhong Yang

This paper presents a new stochastic relay-based extremum-seeking controller (ESC) for multi-input-single-output (MISO) systems. The goal of this work was to create an algorithm that is much simpler to configure than alternative approaches…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Timothy I. Salsbury , Min Gyung Yu

Advances in Reinforcement Learning (RL) have demonstrated data efficiency and optimal control over large state spaces at the cost of scalable performance. Genetic methods, on the other hand, provide scalability but depict hyperparameter…

Machine Learning · Computer Science 2021-01-19 Karush Suri , Xiao Qi Shi , Konstantinos N. Plataniotis , Yuri A. Lawryshyn

Constraint handling plays a key role in solving realistic complex optimization problems. Though intensively discussed in the last few decades, existing constraint handling techniques predominantly rely on human experts' designs, which more…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Qianhao Zhu , Sijie Ma , Zeyuan Ma , Hongshu Guo , Yue-Jiao Gong

Many real-world applications of reinforcement learning (RL) require making decisions in continuous action environments. In particular, determining the optimal dose level plays a vital role in developing medical treatment regimes. One…

Machine Learning · Statistics 2023-10-03 Yuhan Li , Wenzhuo Zhou , Ruoqing Zhu

In this paper, we try to improve exploration in Blackbox methods, particularly Evolution strategies (ES), when applied to Reinforcement Learning (RL) problems where intermediate waypoints/subgoals are available. Since Evolutionary…

Robotics · Computer Science 2023-07-04 Kiran Lekkala , Laurent Itti

We systematically develop a learning-based treatment of stochastic optimal control (SOC), relying on direct optimization of parametric control policies. We propose a derivation of adjoint sensitivity results for stochastic differential…

Machine Learning · Computer Science 2021-06-08 Stefano Massaroli , Michael Poli , Stefano Peluchetti , Jinkyoo Park , Atsushi Yamashita , Hajime Asama

Extremum seeking control (ESC) is a classical adaptive control method for steady-state optimization, purely based on output feedback. It is well known that the extremum seeking control loop, under certain mild conditions on the controller,…

Optimization and Control · Mathematics 2018-02-26 Olle Trollberg , Elling W. Jacobsen