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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…

Optimization and Control · Mathematics 2025-01-20 Frederic Mazenc , Michael Malisoff , Emilia Fridman

One of the main features of adaptive systems is an oscillatory convergence that exacerbates with the speed of adaptation. Recently it has been shown that Closed-loop Reference Models (CRMs) can result in improved transient performance over…

Systems and Control · Computer Science 2013-10-04 Travis E. Gibson , Anuradha M. Annaswamy , Eugene Lavretsky

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

This paper considers a cooperative cruise control problem from a predictive control perspective. Online decision-making is used to be executed during the driving process based on the information obtained from the network. We formalize a…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Miguel F. Arevalo-Castiblanco , Jaime Pachon , Duvan Tellez-Castro , Eduardo Mojica-Nava

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

In this paper, we develop an extremum seeking control method integrated with iterative learning control to track a time-varying optimizer within finite time. The behavior of the extremum seeking system is analyzed via an approximating…

Optimization and Control · Mathematics 2017-12-19 Zhixing Cao , Hans-Bernd Dürr , Christian Ebenbauer , Frank Allgöwer , Furong Gao

This paper presents a longitudinal slip control system for a rear-wheel-driven electric endurance race car. The control system integrates Model Predictive Control (MPC) with Extremum Seeking Control (ESC) to optimize the traction and…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Wytze de Vries , Jorn van Kampen , Mauro Salazar

In an active power distribution system, Volt-VAR optimization (VVO) methods are employed to achieve network-level objectives such as minimization of network power losses. The commonly used model-based centralized and distributed VVO…

Systems and Control · Electrical Eng. & Systems 2021-07-12 Hongda Ren , Rahul Ranjan Jha , Anamika Dubey , Noel N. Schulz

This study presents a constructive methodology for designing accelerated convex optimisation algorithms in continuous-time domain. The two key enablers are the classical concept of passivity in control theory and the time-dependent change…

Optimization and Control · Mathematics 2024-09-16 Namhoon Cho , Hyo-Sang Shin

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…

Optimization and Control · Mathematics 2022-11-30 Raik Suttner

In the early days of connected vehicles (CVs), data will be collected only from a limited number of CVs (i.e., low CV penetration rate) and not from other vehicles (i.e., non-connected vehicles). Moreover, the data loss rate in the wireless…

Computers and Society · Computer Science 2017-12-19 Mizanur Rahman , Mashrur Chowdhury , Anjan Rayamajhi , Kakan Dey , James Martin

Stochastic simulators are increasingly used to expand the frontier of scientific knowledge and inform decision-making across real-world contexts. Simulator calibration, a process by which internal model inputs are tuned to match some…

Computation · Statistics 2026-05-25 David O'Gara , Arindam Fadikar , Mickaël Binois , Nicholson Collier , Jonathan Ozik

In this paper, we study the problem of extremum seeking control for mechanical systems in dissipation-free environments. This includes attitude control of satellites in space and displacement control of rigid bodies in ideal fluids. The…

Optimization and Control · Mathematics 2022-11-30 Raik Suttner , Miroslav Krstic

In this work, a data-driven modeling framework of switched dynamical systems under time-dependent switching is proposed. The learning technique utilized to model system dynamics is Extreme Learning Machine (ELM). First, a method is…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Weiming Xiang

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

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Prakash Mallick , Zhiyong Chen

Autonomous driving heavily relies on perception systems to interpret the environment for decision-making. To enhance robustness in these safety critical applications, this paper considers a Deep Ensemble of Deep Neural Network regressors…

Robotics · Computer Science 2024-12-06 Xiao Li , Anouck Girard , Ilya Kolmanovsky

In this paper, a model predictive mixed integer control method for BYD Qin Plus DM-i (Dual Model intelligent) plug-in hybrid electric vehicle (PHEV) is proposed for co-optimization to reduce fuel consumption during car following. First, the…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Qitao Li , Changfu Gong , Yuan Lin

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

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