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A new framework is developed for control of constrained nonlinear systems with structured parametric uncertainties. Forward invariance of a safe set is achieved through online parameter adaptation and data-driven model estimation. The new…

Systems and Control · Electrical Eng. & Systems 2020-06-01 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

An impulsive feedback-adaptive control is developed in order to drive trajectories of a dynamical system towards an invariant manifold with fixed and spaced impulsive controls. The approach requires the explicit knowledge of the set of…

Dynamical Systems · Mathematics 2024-01-09 C. C. Silva , J. Marao , A. Figueiredo , T. M. Rocha Filho

This study explores the dynamics of asymmetrical bounding gaits in quadrupedal robots, focusing on the integration of torso pitching and hip motion to enhance speed and stability. Traditional control strategies often enforce a fixed…

Robotics · Computer Science 2025-09-01 Jing Cheng , Yasser G. Alqaham , Zhenyu Gan

We propose a fully data-driven, Koopman-based framework for statistically robust control of discrete-time nonlinear systems with linear embeddings. Establishing a connection between the Koopman operator and contraction theory, it offers…

Robotics · Computer Science 2026-03-24 Koki Hirano , Hiroyasu Tsukamoto

This paper presents a robust path following control method for vehicles that explicitly considers steering resistance dynamics to improve tracking accuracy. Conventional methods typically treat the steering angle as a direct control input;…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Rentaro Iwai , Natsuki Hikasa , Hiroshi Okajima

In this work, we address the challenge of approximating unknown system dynamics and costs by representing them as a bilinear system using Koopman-based Inverse Optimal Control (IOC). Using optimal trajectories, we construct a bilinear…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Victor Nan Fernandez-Ayala , Shankar A. Deka , Dimos V. Dimarogonas

This paper presents an output feedback control law for the Korteweg-de Vries equation. The control design is based on the backstepping method and the introduction of an appropriate observer. The local exponential stability of the…

Analysis of PDEs · Mathematics 2016-09-28 Swann Marx , Eduardo Cerpa

This paper is devoted to the development of adaptive control schemes for uncertain discrete-time systems, which guarantee robust, global, exponential convergence to the desired equilibrium point of the system. The proposed control scheme…

Optimization and Control · Mathematics 2015-09-02 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou

Control-based continuation (CBC) is an experimental method that can reveal stable and unstable dynamics of physical systems. It extends the path-following principles of numerical continuation to experiments, and provides systematic…

Dynamical Systems · Mathematics 2023-01-18 Mark Blyth , Krasimira Tsaneva-Atanasova , Lucia Marucci , Ludovic Renson

In this brief, the current robust numerical solution to the inverse kinematics based on Levenberg-Marquardt (LM) method is reanalyzed through control theory instead of numerical method. Compared to current works, the robustness of…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Feilong Zhang

The paper deals with the problem of output regulation of nonlinear systems by presenting a learning-based adaptive internal model-based design strategy. We borrow from the adaptive internal model design technique recently proposed in [1]…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Lorenzo Gentilini , Michelangelo Bin , Lorenzo Marconi

This paper considers the oscillations modeled by a forced Van der Pol generalized oscillator. These oscillations are described by a nonlinear differential equation of the form $…

Chaotic Dynamics · Physics 2017-09-25 L. A. Hinvi , C. H. Miwadinou , A. V. Monwanou , J. B. Chabi Orou

We propose a control framework that integrates model-based bipedal locomotion with residual reinforcement learning (RL) to achieve robust and adaptive walking in the presence of real-world uncertainties. Our approach leverages a model-based…

Robotics · Computer Science 2026-01-23 Yashuai Yan , Tobias Egle , Christian Ott , Dongheui Lee

Non-linear dynamical systems represent a compact, flexible, and robust tool for reactive motion generation. The effectiveness of dynamical systems relies on their ability to accurately represent stable motions. Several approaches have been…

Robotics · Computer Science 2020-06-01 Matteo Saveriano

Inverse dynamics is used extensively in robotics and biomechanics applications. In manipulator and legged robots, it can form the basis of an effective nonlinear control strategy by providing a robot with both accurate positional tracking…

Robotics · Computer Science 2016-08-05 Samuel Zapolsky , Evan Drumwright

Model Predictive Control (MPC) is a widely known control method that has proved to be particularly effective in multivariable and constrained control. Closed-loop stability and recursive feasibility can be guaranteed by employing accurate…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

This paper proposes an Adaptive Robust Model Predictive Control strategy for lateral control in lane keeping problems, where we continuously learn an unknown, but constant steering angle offset present in the steering system. Longitudinal…

Systems and Control · Computer Science 2018-12-03 Monimoy Bujarbaruah , Xiaojing Zhang , H. Eric Tseng , Francesco Borrelli

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

We establish relationships between the classical moments problems which are problems of a construction of a measure supported on a real line, on a half-line or on an interval from prescribed set of moments with the Boundary control approach…

Spectral Theory · Mathematics 2025-05-13 Alexander Mikhaylov , Victor Mikhaylov

We apply robust control technics to an adaptive optics system including a dynamic model of the deformable mirror. The dynamic model of the mirror is a modification of the usual plate equation. We propose also a state-space approach to model…

Analysis of PDEs · Mathematics 2009-11-13 Lucie Baudouin , Denis Arzelier , Christophe Prieur , Fabien Guignard
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