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Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

Optimization and Control · Mathematics 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

Reliable optimal control is challenging when the dynamics of a nonlinear system are unknown and only infrequent, noisy output measurements are available. This work addresses this setting of limited sensing by formulating a Bayesian prior…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Robert Lefringhausen , Theodor Springer , Sandra Hirche

We consider the problem of controlling an aerial robot connected to the ground by a passive cable or a passive rigid link. We provide a thorough characterization of this nonlinear dynamical robotic system in terms of fundamental properties…

Robotics · Computer Science 2017-12-20 Marco Tognon , Antonio Franchi

When neural networks are trained from data to simulate the dynamics of physical systems, they encounter a persistent challenge: the long-time dynamics they produce are often unphysical or unstable. We analyze the origin of such…

Machine Learning · Computer Science 2024-06-21 Daniel Floryan

This note deals with the boundary control problem of a nonhomogeneous flexible wing evolving under unsteady aerodynamic loads. The wing is actuated at its tip by flaps and is modeled by a distributed parameter system consisting of two…

Optimization and Control · Mathematics 2019-02-15 Hugo Lhachemi , David Saussié , Guchuan Zhu

The paper contributes towards the development of a unified control approach for longitudinal aircraft dynamics with large flight envelopes. Prior to the control design, we analyze the existence and the uniqueness of the equilibrium…

Systems and Control · Computer Science 2017-06-19 Daniele Pucci

This paper develops a sequential-linearization feedback optimization framework for driving nonlinear dynamical systems to an optimal steady state. A fundamental challenge in feedback optimization is the requirement of accurate first-order…

Optimization and Control · Mathematics 2025-07-22 Shijie Huang , Sergio Grammatico

The study is devoted to mathematical modeling and optimal control design of longitudinal motions of a rectilinear elastic rod. The control inputs are a force, which is normal to the cross section and distributed piecewise constantly along…

Optimization and Control · Mathematics 2022-07-22 Georgy Kostin , Alexander Gavrikov

This paper presents an approach that employs log-linearization in Lie group theory and the Newton-Euler equations to derive exact linear error dynamics for a multi-rotor model, and applies this model with a novel log-linear dynamic…

Systems and Control · Electrical Eng. & Systems 2024-09-18 Li-Yu Lin , James Goppert , Inseok Hwang

We present an improvement of a recent funnel controller design for uncertain nonlinear multi-input, multi-output systems modeled by higher order functional differential equations in the presence of input constraints. The objective is to…

Optimization and Control · Mathematics 2026-04-29 Thomas Berger

We address the output regulation problem of linear systems with non-smooth and non-periodic exogenous signals. Specifically, we first formulate and solve the full-information problem by designing a state-feedback controller. We study the…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Zirui Niu , Daniele Astolfi , Giordano Scarciotti

This paper focuses on the stabilization and regulation of linear systems affected by quantization in state-transition data and actuated input. The observed data are composed of tuples of current state, input, and the next state's interval…

Optimization and Control · Mathematics 2023-09-26 Jared Miller , Jian Zheng , Mario Sznaier , Chris Hixenbaugh

Dynamic feedback linearization-based methods allow us to design control algorithms for a fairly large class of nonlinear systems in continuous time. However, this feature does not extend to their sampled counterparts, i.e., for a given…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Ashutosh Jindal , Florentina Nicolau , David Martin Diego , Ravi Banavar

An approach to stabilization of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers.…

Optimization and Control · Mathematics 2009-01-20 Viktor Ten

This paper presents a method for incorporating control analysis into design optimization for highly-maneuverable aircraft. By studying reachable sets for aircraft dynamics, we ensure that the optimizer will take the aircraft's controlled…

Optimization and Control · Mathematics 2026-04-30 Steven Nguyen , Nicholas Orndorff , Jorge Cortés , Boris Kramer

Control systems of interest are often invariant under Lie groups of transformations. For such control systems, a geometric framework based on Lie symmetry is formulated, and from this a sufficient condition for dynamic feedback…

Optimization and Control · Mathematics 2024-07-02 Jeanne N. Clelland , Taylor J. Klotz , Peter J. Vassiliou

We consider covariance control problems for nonlinear stochastic systems. Our objective is to find an optimal control strategy to steer the state from an initial distribution to a terminal one with specified mean and covariance. This…

Systems and Control · Electrical Eng. & Systems 2019-11-22 Zeji Yi , Zhefeng Cao , Evangelos Theodorou , Yongxin Chen

Incremental Nonlinear Dynamic Inversion (INDI) control has attracted increasing research attention for it retains the high-performance of NDI and has enhanced robustness. However, when actual elements of the flight control system and…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Zhidong Lu , Florian Holzapfel

This article describes a numerical procedure designed to tune the parameters of periodically-driven dynamical systems to a state in which they exhibit rich dynamical behavior. This is achieved by maximizing the diversity of subharmonic…

Chaotic Dynamics · Physics 2017-02-13 Leandro M. Alonso

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