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Grid-forming (GFM) inverters are essential for enhancing stability in modern power systems with high penetration of inverter-based resources (IBRs). However, their performance highly depends on control parameters tuning, particularly the…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Kyung-Bin Kwon , Min Gyung Yu , Sayak Mukherjee , Timothy I. Salsbury

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 2023-04-04 Tochukwu Elijah Ogri , S. M. Nahid Mahmud , Zachary I. Bell , Rushikesh Kamalapurkar

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 article aims to provide an accessible, tutorial-style introduction to hybrid extremum-seeking systems, which are model-free, feedback-optimization controllers that incorporate hybrid dynamics, meaning both continuous-time and…

Optimization and Control · Mathematics 2025-12-18 Jorge I. Poveda , Andrew R. Teel

We propose a dual mode extremum seeking control design technique that achieves real-time optimization of an unknown measured cost function in a prescribed time. The controller is shown to achieve semi-global practical stability of the…

Optimization and Control · Mathematics 2024-05-14 Adam Waterman , Martin Guay , Denis Dochain

A high-gain extended observer is designed for a class of nonlinear uncertain systems. This observer has the ability of estimating system uncertainty, and it can be used to estimate the derivatives of signal up to order n. The controller…

Systems and Control · Electrical Eng. & Systems 2023-02-13 Xinhua Wang , Zengqiang Chen , Zhuzhi Yuan

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…

Optimization and Control · Mathematics 2025-04-11 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic

This paper introduces a new approach for output feedback stabilization of SISO systems which, unlike most of the techniques found in the literature, does not use high-gain observers and control input saturation to achieve separation between…

Optimization and Control · Mathematics 2007-05-23 Manfredi Maggiore , Kevin Passino

This paper proposes an output feedback controller capable of ensuring steady-state offset-free tracking for ramp and sinusoidal reference signals while ensuring local stability and state and input constraints fulfillment. The proposed…

Optimization and Control · Mathematics 2024-03-18 Geovana Franca dos Santos , Eugenio B. Castelan , Walter Lucia

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…

Optimization and Control · Mathematics 2025-02-04 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic , Paulo Tabuada

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

In this paper, we propose and practically evaluate a class of gradient-free control functions ensuring the motion of a unicycle-type system towards the extremum point of a time-varying cost function. We prove that the unicycle is able to…

Optimization and Control · Mathematics 2019-02-08 Victoria Grushkovskaya , Simon Michalowsky , Alexander Zuyev , Max May , Christian Ebenbauer

We solve the problem of output feedback stabilization of a class of nonlinear systems, which may have unstable zero dynamics. We allow for any globally stabilizing full state feedback control scheme to be used as long as it satisfies a…

Systems and Control · Computer Science 2016-07-26 Almuatazbellah M. Boker , Hassan K. Khalil

In this paper we We propose GoPRONTO, a first-order, feedback-based approach to solve nonlinear discrete-time optimal control problems. This method is a generalized first-order framework based on incorporating the original dynamics into a…

Optimization and Control · Mathematics 2023-08-22 Lorenzo Sforni , Sara Spedicato , Ivano Notarnicola , Giuseppe Notarstefano

This paper presents a controller design and optimization framework for nonlinear dynamic systems to track a given reference signal in the presence of disturbances when the task is repeated over a finite-time interval. This novel framework…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jiapeng Xu , Ying Tan , Xiang Chen

The paper deals with a well-known extremum seeking scheme by proving uniformity properties with respect to the amplitudes of the dither signal and of the cost function. Those properties are then used to show that the scheme guarantees the…

Optimization and Control · Mathematics 2022-04-04 Nicola Mimmo , Lorenzo Marconi , Giuseppe Notarstefano

Extremum seeking systems are powerful methods able to steer the input of a (dynamical) cost function towards an optimizer, without any prior knowledge of the cost function. To achieve their objective, they typically combine time-periodic…

Optimization and Control · Mathematics 2022-04-11 Christophe Labar , Christian Ebenbauer , Lorenzo Marconi

We develop a method for the model reference adaptive control (MRAC) of LTI systems via Extremum Seeking (ES). Our proof of global asymptotic tracking enables design of the adaptive controller to satisfy averaging requirements, and…

Dynamical Systems · Mathematics 2012-07-25 Poorya Haghi , Kartik B. Ariyur

In this paper, the attitude tracking problem is considered using the rotation matrices. Due to the inherent topological restriction, it is impossible to achieve global attractivity with any continuous attitude control system on $SO(3)$.…

Optimization and Control · Mathematics 2017-11-15 Jieqiang Wei , Christos Verginis , Junfeng Wu , Dimos V. Dimarogonas , Henrik Sandberg , Karl H. Johansson

This paper proposes a multivariable extremum seeking scheme using Fast Fourier Transform (FFT) for a network of subsystems working towards optimizing the sum of their local objectives, where the overall objective is the only available…

Optimization and Control · Mathematics 2021-05-11 Dinesh Krishnamoorthy