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Neglecting complex aerodynamic effects hinders high-speed yet high-precision multirotor autonomy. In this paper, we present a computationally efficient learning-based model predictive controller that simultaneously optimizes a trajectory…

Robotics · Computer Science 2024-02-19 Babak Akbari , Melissa Greeff

In this paper, we propose a design of a model-free networked controller for a nonlinear plant whose mathematical model is unknown. In a networked control system, the controller and plant are located away from each other and exchange data…

Machine Learning · Computer Science 2019-09-02 Junya Ikemoto , Toshimitsu Ushio

We propose and demonstrate a nonlinear control method that can be applied to unknown, complex systems where the controller is based on a type of artificial neural network known as a reservoir computer. In contrast to many modern…

Systems and Control · Electrical Eng. & Systems 2020-10-07 Daniel Canaday , Andrew Pomerance , Daniel J Gauthier

This paper presents a deep learning based model predictive control algorithm for control affine nonlinear discrete time systems with matched and bounded state-dependent uncertainties of unknown structure. Since the structure of…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Prabhat K. Mishra , Mateus V. Gasparino , Andres E. B. Velasquez , Girish Chowdhary

Learning-based control methods typically assume stationary system dynamics, an assumption often violated in real-world systems due to drift, wear, or changing operating conditions. We study reinforcement learning for control under…

Machine Learning · Computer Science 2026-04-03 Klemens Iten , Bruce Lee , Chenhao Li , Lenart Treven , Andreas Krause , Bhavya Sukhija

The spatiotemporal chaos in the Frenkel-Kontorova (FK) model is studied. A model-free reinforcement learning algorithm is proposed to the design of a controller. There is no need for explicit knowledge on system, target states and unstable…

Chaotic Dynamics · Physics 2019-11-26 Youming Lei , Yanyan Han

We present an extension of Willems' Fundamental Lemma to the class of multi-input multi-output discrete-time feedback linearizable nonlinear systems, thus providing a data-based representation of their input-output trajectories. Two sources…

Optimization and Control · Mathematics 2023-03-17 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

Model-free learning-based control methods have seen great success recently. However, such methods typically suffer from poor sample complexity and limited convergence guarantees. This is in sharp contrast to classical model-based control,…

Optimization and Control · Mathematics 2020-06-16 Guannan Qu , Chenkai Yu , Steven Low , Adam Wierman

The design of flow control systems remains a challenge due to the nonlinear nature of the equations that govern fluid flow. However, recent advances in computational fluid dynamics (CFD) have enabled the simulation of complex fluid flows…

Computational Engineering, Finance, and Science · Computer Science 2018-11-13 Jeremy Morton , Freddie D. Witherden , Antony Jameson , Mykel J. Kochenderfer

This paper completely solves the controllability problems of two-dimensional multi-input discrete-time bilinear systems with and without drift. Necessary and sufficient conditions for controllability, which cover the existing results, are…

Systems and Control · Computer Science 2014-01-23 Lin Tie

The design of decision and control strategies for switched systems typically requires complete knowledge of (i) mathematical models of the subsystems and (ii) restrictions on admissible switches between the subsystems. We propose an active…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Atreyee Kundu

This paper presents a study of the two-predators-two-preys discrete-time Lotka-Volterra model with self- inhibition terms for preys with direct applications to ecological problems. Parameters in the model are modified so that each of them…

Dynamical Systems · Mathematics 2012-11-27 Hanbaek Lyu , Piotr Grzegorz Jablonski

Spatiotemporal dynamics of populations may be described by the reaction-diffusion Fisher-Kolmogorov model. In this work we have proposed a new formulation for a control problem of aquatic plants in a temporal dynamics. The solution of this…

Optimization and Control · Mathematics 2020-06-22 Alexandre Molter , Fabio Silva Botelho

We show how continuous-depth neural ODE models can be framed as single-layer, infinite-width nets using the Chen--Fliess series expansion for nonlinear ODEs. In this net, the output ``weights'' are taken from the signature of the control…

Machine Learning · Statistics 2024-05-21 Joshua Hanson , Maxim Raginsky

This paper proposes a framework for adaptively learning a feedback linearization-based tracking controller for an unknown system using discrete-time model-free policy-gradient parameter update rules. The primary advantage of the scheme over…

Machine Learning · Computer Science 2020-04-07 Tyler Westenbroek , Eric Mazumdar , David Fridovich-Keil , Valmik Prabhu , Claire J. Tomlin , S. Shankar Sastry

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

We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to "intelligent" PID controllers, the tuning of which becomes quite…

Optimization and Control · Mathematics 2009-04-03 Michel Fliess , Cédric Join

Many techniques have been developed for the loop-shaping method in control design. While most loop-shaping methods apply a model of the open-loop controlled plant, the resulting performance depends on the accuracy of the dynamical model.…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Li-Wei Shih , Cheng-Wei Chen

Formal power series products appear in nonlinear control theory when systems modeled by Chen-Fliess series are interconnected to form new systems. In fields like adaptive control and learning systems, the coefficients of these formal power…

Optimization and Control · Mathematics 2022-04-08 W. Steven Gray , Mathias Palmstrøm , Alexander Schmeding

In response to the continuously changing feedstock supply and market demand for products with different specifications, the processes need to be operated at time-varying operating conditions and targets (e.g., setpoints) to improve the…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Lai Wei , Ryan McCloy , Jie Bao