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Nonlinear contraction theory is a comparatively recent dynamic control system design tool based on an exact differential analysis of convergence, in essence converting a nonlinear stability problem into a linear time-varying stability…

Pattern Formation and Solitons · Physics 2007-05-23 Winfried Lohmiller , Jean-Jacques E. Slotine

We present an algorithm of control synthesis for nonlinear switched systems, based on an existing procedure of state-space bisection and made available for nonlinear systems with the help of validated simulation. The use of validated…

Systems and Control · Computer Science 2016-11-22 Adrien Le Coënt , Julien Alexandre Dit Sandretto , Alexandre Chapoutot , Laurent Fribourg

In this paper, we address the problem of stabilizing a system around a desired manifold determined by virtual nonlinear nonholonomic constraints. Virtual constraints are relationships imposed on a control system that are rendered invariant…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Efstratios Stratoglou , Alexandre Anahory Simoes , Anthony Bloch , Leonardo Colombo

The purpose of this tutorial is to give a brief introduction to linear quantum control systems. The mathematical model of linear quantum control systems is presented first, then some fundamental control-theoretic notions such as stability,…

Quantum Physics · Physics 2022-05-26 Guofeng Zhang , Zhiyuan Dong

In real-world control applications, actuator constraints and output constraints (specifically in tracking problems) are inherent and critical to ensuring safe and reliable operation. However, generally, control strategies often neglect…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

Control schemes for dynamical systems typically involve stabilizing unstable periodic orbits. In this paper we introduce a new paradigm of control that involves `trapping' the dynamics arbitrarily close to any desired trajectory. This is…

Chaotic Dynamics · Physics 2015-12-08 Shakti N. Menon , S. Sridhar , Sitabhra Sinha

This paper focuses on the controller synthesis for unknown, nonlinear systems while ensuring safety constraints. Our approach consists of two steps, a learning step that uses Gaussian processes and a controller synthesis step that is based…

Systems and Control · Electrical Eng. & Systems 2020-10-13 Pushpak Jagtap , George J. Pappas , Majid Zamani

Reverse parking maneuvers of a vehicle with trailer system is a challenging task to complete for human drivers due to the unstable nature of the system and unintuitive controls required to orientate the trailer properly. This paper hence…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Xincheng Cao , Haochong Chen , Bilin Aksun-Guvenc , Levent Guvenc , Brian Link , Peter J Richmond , Dokyung Yim , Shihong Fan , John Harber

Output reference tracking can be improved by iteratively learning from past data to inform the design of feedforward control inputs for subsequent tracking attempts. This process is called iterative learning control (ILC). This article…

Systems and Control · Electrical Eng. & Systems 2021-08-18 Isaac A Spiegel , Nard Strijbosch , Tom Oomen , Kira Barton

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Amit K. Sanyal

Exoskeletons have been shown to effectively assist humans during steady locomotion. However, their effects on non-steady locomotion, characterized by nonlinear phase progression within a gait cycle, remain insufficiently explored,…

Robotics · Computer Science 2025-08-14 Xiaowei Tan , Weizhong Jiang , Bi Zhang , Wanxin Chen , Yiwen Zhao , Ning Li , Lianqing Liu , Xingang Zhao

Results on the problem of stabilizing a nonlinear continuous-time system by a finite number of control or measurement values are presented. The basic tool is a discontinuous version of the so-called semi-global backstepping lemma. We derive…

Optimization and Control · Mathematics 2010-04-13 C. De Persis

Linearising the dynamics of nonlinear mechanical systems is an important and open research area. A common approach is feedback linearisation, which is a nonlinear control method that transforms the input-output response of a nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Merijn Floren , Koen Classens , Tom Oomen , Jean-Philippe Noël

Nonlinear control allocation is an important part of modern nonlinear dynamic inversion based flight control systems which require highly accurate model of aircraft aerodynamics. Generally, an accurately implemented onboard model determines…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Jahanzeb Rajput , Hafiz Zeeshan Iqbal Khan

This is a demonstration of the PNLSS Toolbox 1.0. The toolbox is designed to identify polynomial nonlinear state-space models from data. Nonlinear state-space models can describe a wide range of nonlinear systems. An illustration is…

Systems and Control · Electrical Eng. & Systems 2021-05-19 Jan Decuyper , Koen Tiels , Johan Schoukens

As neural networks (NNs) become more prevalent in safety-critical applications such as control of vehicles, there is a growing need to certify that systems with NN components are safe. This paper presents a set of backward reachability…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Nicholas Rober , Sydney M. Katz , Chelsea Sidrane , Esen Yel , Michael Everett , Mykel J. Kochenderfer , Jonathan P. How

1. Natural sounds have been recorded for millions of hours over the previous decades using passive acoustic monitoring. Improvements in deep learning models have vastly accelerated the analysis of large portions of this data. While new…

Machine Learning · Computer Science 2026-04-14 Vincent S. Kather , Sylvain Haupert , Burooj Ghani , Dan Stowell

In this paper, we study the control of dynamical systems under temporal logic task specifications using gradient-based methods relying on quantitative measures that express the extent to which the tasks are satisfied. A class of controllers…

Systems and Control · Electrical Eng. & Systems 2019-09-06 Peter Varnai , Dimos V. Dimarogonas

A backstepping controller is designed for a system of parallel buck converters sharing load. Controller objective is to ensure proper current sharing and output voltage regulation. The designed controller is successfully tested for both…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Ajay Pratap Yadav

A Python module for rapid prototyping of constraint-based closed-loop inverse kinematics controllers is presented. The module allows for combining multiple tasks that are resolved with a quadratic, nonlinear, or model predictive…

Robotics · Computer Science 2019-01-23 Mathias Hauan Arbo , Esten Ingar Grøtli , Jan Tommy Gravdahl
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