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This paper presents a Newton-based stochastic extremum-seeking control method for real-time optimization in multi-input systems with distinct input delays. It combines predictor-based feedback and Hessian inverse estimation via stochastic…

Optimization and Control · Mathematics 2025-02-04 Paulo Cesar Souza Silva , Paulo Cesar Pellanda , Tiago Roux Oliveira

This work investigates an elliptic optimal control problem defined on uncertain domains and discretized by a fictitious domain finite element method and cut elements. Key ingredients of the study are to manage cases considering the usually…

Numerical Analysis · Mathematics 2022-04-06 Aikaterini Aretaki , Efthymios N. Karatzas

This paper introduces a new formulation for stochastic optimal control and stochastic dynamic optimization that ensures safety with respect to state and control constraints. The proposed methodology brings together concepts such as…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Marcus Aloysius Pereira , Ziyi Wang , Ioannis Exarchos , Evangelos A. Theodorou

This paper develops a fast numerical dual control for exploration and exploitation (DCEE) method to address auto-optimization problems in unknown environments. In auto-optimization problems, the optimal operating condition is unknown a…

Robotics · Computer Science 2026-05-22 Shiying Dong , Haoyang Yang , Qiwei Liu , Wen-Hua Chen

In this paper, we propose several set-point control schemes for achieving finite-time regulation in a class of Euler--Lagrange systems with $n$ degrees of freedom and uncertain potential energy. The proposed controllers are based on…

Optimization and Control · Mathematics 2026-05-12 Emmanuel Cruz-Zavala , Jaime A. Moreno , Antonio Loría

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

This paper proposes an optimization-based approach to predict trajectories of autonomous race cars. We assume that the observed trajectory is the result of an optimization problem that trades off path progress against acceleration and jerk…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Rudolf Reiter , Florian Messerer , Markus Schratter , Daniel Watzenig , Moritz Diehl

Brain-like intelligent systems need brain-like learning methods. Equilibrium Propagation (EP) is a biologically plausible learning framework with strong potential for brain-inspired computing hardware. However, existing im-plementations of…

Neural and Evolutionary Computing · Computer Science 2026-05-08 Zhuo Liu , Tao Chen

In this paper, a model reference adaptive control architecture is proposed for uncertain nonlinear systems to achieve prescribed performance guarantees. Specifically, a general nonlinear reference model system is considered that captures an…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Ehsan Arabi , Kunal Garg , Dimitra Panagou

This article studies the control ideas of the optimal backstepping technique, proposing an event-triggered optimal tracking control scheme for a class of strict-feedback nonlinear systems with non-affine and nonlinear faults. A simplified…

Optimization and Control · Mathematics 2024-06-13 Ling Wang , Xin Wang , Ziming Wang

Modern simulation-based inference techniques use neural networks to solve inverse problems efficiently. One notable strategy is neural posterior estimation (NPE), wherein a neural network parameterizes a distribution to approximate the…

Instrumentation and Methods for Astrophysics · Physics 2024-03-06 Alex Kolmus , Justin Janquart , Tomasz Baka , Twan van Laarhoven , Chris Van Den Broeck , Tom Heskes

A novel nonlinear model predictive control approach for state signal shaping is proposed. The control strategy introduces a residual shape cost kernel based on the dynamics of circular limit cycles from a supercritical Neimark-Sacker…

Systems and Control · Electrical Eng. & Systems 2021-04-26 Carlos Cateriano Yáñez , Gerwald Lichtenberg , Georg Pangalos , Javier Sanchis Sáez

Existing data-driven and feedback traffic control strategies do not consider the heterogeneity of real-time data measurements. Besides, traditional reinforcement learning (RL) methods for traffic control usually converge slowly for lacking…

Systems and Control · Electrical Eng. & Systems 2022-09-14 C. Chen , Y. P. Huang , W. H. K. Lam , T. L. Pan , S. C. Hsu , A. Sumalee , R. X. Zhong

This paper studies the design of neural network (NN)-based controllers for unknown nonlinear systems, using contraction analysis. A Neural Ordinary Differential Equation (NODE) system is constructed by approximating the unknown draft…

Systems and Control · Electrical Eng. & Systems 2025-05-23 Hao Yin , Claudio De Persis , Bayu Jayawardhana , Santiago Sanchez Escalonilla Plaza

Predictor feedback designs are critical for delay-compensating controllers in nonlinear systems. However, these designs are limited in practical applications as predictors cannot be directly implemented, but require numerical approximation…

Systems and Control · Electrical Eng. & Systems 2025-06-03 Luke Bhan , Peijia Qin , Miroslav Krstic , Yuanyuan Shi

Predicting outcomes and planning interactions with the physical world are long-standing goals for machine learning. A variety of such tasks involves continuous physical systems, which can be described by partial differential equations…

Machine Learning · Computer Science 2020-01-22 Philipp Holl , Vladlen Koltun , Nils Thuerey

Engineered swift equilibration (ESE) is a class of driving protocols that enforce an equilibrium distribution with respect to external control parameters at the beginning and end of rapid state transformations of open, classical…

Statistical Mechanics · Physics 2022-02-02 Adam G. Frim , Adrianne Zhong , Shi-Fan Chen , Dibyendu Mandal , Michael R. DeWeese

This paper presents a new model-based algorithm that computes predictive optimal controls on-line and in closed loop for traditionally challenging nonlinear systems. Examples demonstrate the same algorithm controlling hybrid impulsive,…

Robotics · Computer Science 2017-09-04 Alex Ansari , Todd Murphey

In this paper, we propose a novel framework for approximating the explicit MPC law for linear parameter-varying systems using supervised learning. In contrast to most existing approaches, we not only learn the control policy, but also a…

Machine Learning · Computer Science 2019-06-21 Xiaojing Zhang , Monimoy Bujarbaruah , Francesco Borrelli

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

Optimization and Control · Mathematics 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya