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Related papers: Extremum Seeking Control for Multivariable Maps un…

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This paper proposes a finite-time Newton seeking control design for systems described by unknown multivariable static maps. The Newton seeking system has an averaged system that implements a Newton continuous-time algorithm. The averaged…

Optimization and Control · Mathematics 2020-12-18 Martin Guay , Mouhacine Benosman

This paper presents a novel nonlinear backstepping control law for continuous, low-thrust station-keeping in the Earth-Moon system. Quasi-periodic libration point orbits are targeted under a high-fidelity model of the dynamics. Almost…

Systems and Control · Electrical Eng. & Systems 2026-04-17 António Nunes , Sérgio Brás , Pedro Batista

This paper introduces extremum seeking (ES) algorithms designed to achieve perfect tracking of arbitrary time-varying extremum. In contrast to classical ES approaches that employ constant frequencies and controller gains, our algorithms…

Optimization and Control · Mathematics 2024-02-23 Cemal Tugrul Yilmaz , Mamadou Diagne , Miroslav Krstic

We introduce a type of safe extremum seeking (ES) controller, which minimizes an unknown objective function while also maintaining practical positivity of an unknown barrier function. We show semi-global practical asymptotic stability of…

Optimization and Control · Mathematics 2023-09-28 Alan Williams , Miroslav Krstic , Alexander Scheinker

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Tochukwu Elijah Ogri , Zachary I. Bell , Rushikesh Kamalapurkar

This paper is concerned with bearing-based cooperative target entrapping control of multiple uncertain agents with arbitrary maneuvers including shape deformation, rotations, scalings, etc. A leader-follower structure is used, where the…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Haifan Su , Ziwen Yang , Shanying Zhu , Cailian Chen , Wenbin Yu

Extremum seeking control (ESC) often employs perturbation-based estimates of derivatives for some sensor field or cost function. These estimates are generally obtained by simply multiplying the output of a single-unit sensor by some…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Dylan James-Kavanaugh , Patrick McNamee , Qixu Wang , Zahra Nili Ahmadabadi

This paper proposes a non-adaptive control solution framework to the practical output regulation problem (PORP) for a class of nonlinear systems with uncertain parameters, unknown control directions and uncertain exosystem dynamics. The…

Optimization and Control · Mathematics 2025-06-17 Shimin Wang , Martin Guay , Denis Dochain

Extremum seeking control (ESC) are optimization algorithms in continuous time, with model-based ESCs using true derivative information of the cost function and model-free ESCs utilizing perturbation-based estimates instead. Stability…

Optimization and Control · Mathematics 2025-07-22 Patrick McNamee , Zahra Nili Ahmadabadi , Mirslav Krstić

In this report, we apply an input-output transformation passivation method, described in our previous works, to an Adaptive Cruise Control system. We analyze the system's performance under a co-simulation framework that makes use of an…

Optimization and Control · Mathematics 2016-07-15 Arash Rahnama , Meng Xia , Shige Wang , Panos J. Antsaklis

This paper studies a stochastic extremum seeking method to steer a nonholonomic vehicle to the unknown source of a static spatially distributed filed in a plane. The key challenge lies in the lack of vehicle's position information and the…

Optimization and Control · Mathematics 2016-11-16 Jinbiao Lin , Shiji Song , Keyou You , Miroslav Krstic

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…

Optimization and Control · Mathematics 2026-04-07 Adam Jbara , Emilia Fridman , Xuefei Yang

In this paper, a class of nonlinear driftless control-affine systems satisfying the bracket generating condition is considered. A gradient-free optimization algorithm is developed for the minimization of a cost function along the…

Optimization and Control · Mathematics 2021-05-13 Victoria Grushkovskaya , Alexander Zuyev

Designing control systems with bounded input is a practical consideration since realizable physical systems are limited by the saturation of actuators. The actuators' saturation degrades the performance of the control system, and in extreme…

Systems and Control · Electrical Eng. & Systems 2021-11-16 M. Reza J. Harandi , Amir Molaei , Hamid D. Taghirad , Jose Guadalupe Romero

We introduce and analyze the stability of a class of event-triggered extremum-seeking algorithms designed to solve resource-aware, model-free, optimization problems. Leveraging recent advances in Lie-Bracket Averaging for hybrid systems, we…

Optimization and Control · Mathematics 2025-12-11 Mahmoud Abdelgalil , Jorge I. Poveda

We introduce a new class of extremum seeking controllers able to achieve fixed time convergence to the solution of optimization problems defined by static and dynamical systems. Unlike existing approaches in the literature, the convergence…

Optimization and Control · Mathematics 2019-12-17 Jorge I. Poveda , Miroslav Krstic

This paper investigates a new method for consensus in a group of nonlinear complex multi-agent systems using fixed-order non-fragile dynamic output feedback controller, via an LMI approach. The proposed scheme is decentralized in the sense…

Optimization and Control · Mathematics 2015-01-21 Amir Amini , Ali Azarbahram , Mahdi Sojoodi

Control-affine Extremum Seeking Control (ESC) systems have been increasingly studied and applied in the last decade. In a recent effort, many control-affine ESC structures have been generalized in a unifying class and their stability was…

Optimization and Control · Mathematics 2023-05-02 Sameer Pokhrel , Sameh A. Eisa

We propose two perturbation-based extremum seeking control (ESC) schemes for general single input single output nonlinear dynamical systems, having structures similar to that of the classical ESC scheme. We propose novel adaptation laws for…

Systems and Control · Electrical Eng. & Systems 2021-01-06 Diganta Bhattacharjee , Kamesh Subbarao

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…

Machine Learning · Computer Science 2024-04-03 Ya-Chien Chang , Sicun Gao