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Learning-based control aims to construct models of a system to use for planning or trajectory optimization, e.g. in model-based reinforcement learning. In order to obtain guarantees of safety in this context, uncertainty must be accurately…

Robotics · Computer Science 2020-06-08 David D. Fan , Ali-akbar Agha-mohammadi , Evangelos A. Theodorou

We provide a method to design adaptive controllers for nonlinear systems using model predictive control (MPC). By combining a certainty-equivalent MPC formulation with least-mean-square parameter adaptation, we obtain an adaptive controller…

Optimization and Control · Mathematics 2026-03-19 Johannes Köhler

Accurately modeling robot dynamics is crucial to safe and efficient motion control. In this paper, we develop and apply an iterative learning semi-parametric model, with a neural network, to the task of autonomous racing with a Model…

Robotics · Computer Science 2020-11-18 Ignat Georgiev , Christoforos Chatzikomis , Timo Völkl , Joshua Smith , Michael Mistry

In this study, we consider the experimentally-obtained, periodically-forced response of a nonlinear structure in the presence of process noise. Control-based continuation is used to measure both the stable and unstable periodic solutions…

Dynamical Systems · Mathematics 2021-02-17 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

This paper proposes a new methodology for design of a stabilizing control law for multi-input linear systems with time-varying, singular gains on the control. The results presented here assume the control gain to satisfy persistence of…

Optimization and Control · Mathematics 2014-10-17 Srikant Sukumar , Maruthi R. Akella

Learning-based control methods for industrial processes leverage the repetitive nature of the underlying process to learn optimal inputs for the system. While many works focus on linear systems, real-world problems involve nonlinear…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Samuel Balula , Efe C. Balta , Dominic Liao-McPherson , Alisa Rupenyan , John Lygeros

Robust design of autonomous systems under uncertainty is an important yet challenging problem. This work proposes a robust controller that consists of a state estimator and a tube based predictive control law. The class of linear systems…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Tianchen Ji , Junyi Geng , Katherine Driggs-Campbell

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is…

Optimization and Control · Mathematics 2021-08-10 Sina Ameli , Olugbenga Moses Anubi

Controlling nonlinear systems, especially when data are being used to offset uncertainties in the model, is hard. A natural approach when dealing with the challenges of nonlinear control is to reduce the system to a linear one via change of…

Systems and Control · Electrical Eng. & Systems 2024-06-25 C. De Persis , D. Gadginmath , F. Pasqualetti , P. Tesi

We present a new direct adaptive control approach for nonlinear systems with unmatched and matched uncertainties. The method relies on adjusting the adaptation gains of individual unmatched parameters whose adaptation transients would…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Brett T. Lopez , Jean-Jacques Slotine

Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control…

Dynamical Systems · Mathematics 2020-04-20 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

Learning-based control methods utilize run-time data from the underlying process to improve the controller performance under model mismatch and unmodeled disturbances. This is beneficial for optimizing industrial processes, where the…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Efe C. Balta , Kira Barton , Dawn M. Tilbury , Alisa Rupenyan , John Lygeros

This paper presents a new stochastic relay-based extremum-seeking controller (ESC) for multi-input-single-output (MISO) systems. The goal of this work was to create an algorithm that is much simpler to configure than alternative approaches…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Timothy I. Salsbury , Min Gyung Yu

This paper introduces a novel method for robust output-feedback model predictive control (MPC) for a class of nonlinear discrete-time systems. We propose a novel interval-valued predictor which, given an initial estimate of the state,…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Scott Brown , Mohammad Khajenejad , Aamodh Suresh , Sonia Martinez

In this paper, we propose a combined Magnitude Saturated Adaptive Control (MSAC)-Model Predictive Control (MPC) approach to linear quadratic tracking optimal control problems with parametric uncertainties and input saturation. The proposed…

Optimization and Control · Mathematics 2023-03-14 Sunbochen Tang , Anuradha M. Annaswamy

We present a novel data-driven model predictive control (MPC) approach to control unknown nonlinear systems using only measured input-output data with closed-loop stability guarantees. Our scheme relies on the data-driven system…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

Machine Learning · Computer Science 2021-08-13 Benjamin Gravell , Tyler Summers

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

Systems and Control · Computer Science 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

This paper presents a low-complexity, model-free, output-feedback controller for a class of unknown time-varying nonlinear systems with unknown input constraints. The controller achieves the preset control accuracy when the actuator is not…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Dianrui Mu , Changchun Hua , Yafeng Li , Jiannan Chen , Rao Wei

Reinforcement learning has been successfully applied to the problem of tuning PID controllers in several applications. The existing methods often utilize function approximation, such as neural networks, to update the controller parameters…

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