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We propose a robust data-driven output feedback control algorithm that explicitly incorporates inherent finite-sample model estimate uncertainties into the control design. The algorithm has three components: (1) a subspace identification…

Systems and Control · Electrical Eng. & Systems 2022-05-12 Benjamin Gravell , Iman Shames , Tyler Summers

Real-time adaptation is imperative to the control of robots operating in complex, dynamic environments. Adaptive control laws can endow even nonlinear systems with good trajectory tracking performance, provided that any uncertain dynamics…

Robotics · Computer Science 2021-06-22 Spencer M. Richards , Navid Azizan , Jean-Jacques Slotine , Marco Pavone

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood

The problem of partial stabilization for nonlinear control systems described by the Ito stochastic differential equations is considered. For these systems, we propose a constructive control design method which leads to establishing the…

Optimization and Control · Mathematics 2020-06-02 Alexander Zuyev , Iryna Vasylieva

Neural network modules conditioned by known priors can be effectively trained and combined to represent systems with nonlinear dynamics. This work explores a novel formulation for data-efficient learning of deep control-oriented nonlinear…

Dynamical Systems · Mathematics 2021-01-07 Elliott Skomski , Soumya Vasisht , Colby Wight , Aaron Tuor , Jan Drgona , Draguna Vrabie

The paper describes a novel method of sampled-data in space (spatial variable) control of scalar semilinear systems of parabolic and hyperbolic type with unknown parameters and distributed disturbances. A finite set of sampled-data in the…

Systems and Control · Electrical Eng. & Systems 2020-09-30 Igor Furtat , Pavel Gushchin

The discrete-time robust repetitive control (RC, or repetitive controller, also designated RC) problem for nonlinear systems is both challenging and practical. This paper proposes a discrete-time output-feedback RC design for a class of…

Systems and Control · Computer Science 2014-01-09 Quan Quan , Lu Jiang , Kai-Yuan Cai

In this paper, a novel online, output-feedback, critic-only, model-based reinforcement learning framework is developed for safety-critical control systems operating in complex environments. The developed framework ensures system stability…

Systems and Control · Electrical Eng. & Systems 2024-06-28 Tochukwu Elijah Ogri , Muzaffar Qureshi , Zachary I. Bell , Rushikesh Kamalapurkar

Recent studies on encrypted control using homomorphic encryption allow secure operation by directly performing computations on encrypted data without decryption. Implementing dynamic controllers on encrypted data presents unique challenges…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Junsoo Kim , Farhad Farokhi , Iman Shames , Hyungbo Shim

This work is concerned with developing a data-driven approach for learning control barrier certificates (CBCs) and associated safety controllers for discrete-time nonlinear polynomial systems with unknown mathematical models, guaranteeing…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Behrad Samari , Omid Akbarzadeh , Mahdieh Zaker , Abolfazl Lavaei

In this article, we propose a data-enabled economic predictive control method for a class of nonlinear systems, which aims to optimize the economic operational performance while handling hard constraints on the system outputs. Two lifting…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Mingxue Yan , Xuewen Zhang , Kaixiang Zhang , Zhaojian Li , Xunyuan Yin

The safety of autonomous driving systems, particularly self-driving vehicles, remains of paramount concern. These systems exhibit affine nonlinear dynamics and face the challenge of executing predefined control tasks while adhering to state…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Fan Yang , Haoqi Li , Maolong Lv , Jiangping Hu , Qingrui Zhou , Bijoy K. Ghosh

We propose a control design method for linear time-invariant systems that iteratively learns to satisfy unknown polyhedral state constraints. At each iteration of a repetitive task, the method constructs an estimate of the unknown…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Monimoy Bujarbaruah , Charlott Vallon , Francesco Borrelli

This work focuses on developing a data-driven framework using Koopman operator theory for system identification and linearization of nonlinear systems for control. Our proposed method presents a deep learning framework with recursive…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Madhur Tiwari , George Nehma , Bethany Lusch

This paper considers a class of bilinear systems with a neural network in the loop. These arise naturally when employing machine learning techniques to approximate general, non-affine in the input, control systems. We propose a controller…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Dhruv Shah , Jorge Cortés

A methodology is developed to learn a feedback linearization (i.e., nonlinear change of coordinates and input transformation) using a data-driven approach for a single input control-affine nonlinear system with unknown dynamics. We employ…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Raktim Gautam Goswami , Prashanth Krishnamurthy , Farshad Khorrami

We consider the adaptive control problem for discrete-time, nonlinear stochastic systems with linearly parameterised uncertainty. Assuming access to a parameterised family of controllers that can stabilise the system in a bounded set within…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

This work proposes a two-layered control scheme for constrained nonlinear systems represented by a class of recurrent neural networks and affected by additive disturbances. In particular, a base controller ensures global or regional…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Daniele Ravasio , Danilo Saccani , Marcello Farina , Giancarlo Ferrari-Trecate

We study in this paper the problem of adaptive trajectory tracking control for a class of nonlinear systems with parametric uncertainties. We propose to use a modular approach, where we first design a robust nonlinear state feedback which…

Systems and Control · Computer Science 2015-09-28 Mouhacine Benosman , Amir-massoud Farahmand , Meng Xia

This paper considers the problem of adaptively overriding unsafe actions of a nominal controller in the presence of high-relative-degree nonovershooting constraints and parametric uncertainties. To prevent the design from being coupled with…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Ziliang Lyu , Miroslav Krstic , Kaixin Lu , Yiguang Hong , Lihua Xie