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It is quite often claimed, and correctly so, that linear methods cannot achieve global stability results for attitude control, and conversely that nonlinear control is essential in order to achieve (almost) globally stable tracking of…

Optimization and Control · Mathematics 2026-05-26 Yujendra Mitikiri

In this work, we introduce a novel data-driven model-reference control design approach for unknown linear systems with fully measurable state. The proposed control action is composed by a static feedback term and a reference tracking block,…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Valentina Breschi , Claudio De Persis , Simone Formentin , Pietro Tesi

Nonlinear PID control systems for a quadrotor UAV are proposed to follow an attitude tracking command and a position tracking command. The control systems are developed directly on the special Euclidean group to avoid singularities of…

Optimization and Control · Mathematics 2013-04-26 Farhad Goodarzi , Daewon Lee , Taeyoung Lee

This paper presents an approach to trajectory-centric learning control based on contraction metrics and disturbance estimation for nonlinear systems subject to matched uncertainties. The approach uses deep neural networks to learn uncertain…

Systems and Control · Electrical Eng. & Systems 2024-07-25 Pan Zhao , Ziyao Guo , Yikun Cheng , Aditya Gahlawat , Hyungsoo Kang , Naira Hovakimyan

This article presents a three-dimensional nonlinear trajectory tracking control strategy for unmanned aerial vehicles (UAVs) in the presence of spatial constraints. As opposed to many existing control strategies, which do not consider…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

The rigid-body attitude tracking using vector and biased gyro measurements with unknown inertia matrix is studied in this note. First, a gyro-bias observer with global exponential stability is designed. Then, an attitude tracking controller…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Eduardo Espíndola , Yu Tang

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

Quantum Physics · Physics 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

In this paper, an adaptive super-twisting controller is designed for an agile maneuvering quadrotor unmanned aerial vehicle to achieve accurate trajectory tracking in the presence of external disturbances. A cascaded control architecture is…

Systems and Control · Electrical Eng. & Systems 2023-09-15 D. M. K. K. Venkateswara Rao , Hamed Habibi , Jose Luis Sanchez-Lopez , Prathyush P. Menon , Christopher Edwards , Holger Voos

Designing stabilizing controllers is a fundamental challenge in autonomous systems, particularly for high-dimensional, nonlinear systems that can hardly be accurately modeled with differential equations. The Lyapunov theory offers a…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Songyuan Zhang , Chuchu Fan

Various control methods have been studied to control the position and attitude of quadrotors. There are some differences in the mathematical equations between the two types of quadrotor configurations that lead to different control…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Dong LT Tran , Thanh C Vo , Hoang T Tran , Minh T Nguyen , Hai T. Do

Orbit-attitude hovering of a spacecraft at the natural relative equilibria in the body-fixed frame of a uniformly rotating asteroid is discussed in the framework of the full spacecraft dynamics, in which the spacecraft is modeled as a rigid…

Earth and Planetary Astrophysics · Physics 2014-08-26 Yue Wang , Shijie Xu

This paper presents a new geometric adaptive control system with state inequality constraints for the attitude dynamics of a rigid body. The control system is designed such that the desired attitude is asymptotically stabilized, while the…

Optimization and Control · Mathematics 2017-11-28 Shankar Kulumani , Taeyoung Lee

In this work, we propose the design and analysis of a novel continuous robust controller for a class of multi--input multi--output (MIMO) nonlinear uncertain systems. The systems under consideration contains unstructured uncertainties in…

Optimization and Control · Mathematics 2013-01-24 Baris Bidikli , Enver Tatlicioglu , Erkan Zergeroglu , Alper Bayrak

This paper addresses to Sliding Mode Learning Control (SMLC) of uncertain nonlinear systems with Lyapunov stability analysis. In the control scheme, a conventional control term is used to provide the system stability in compact space while…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Erkan Kayacan

This paper studies the problem of stabilizing a leader-follower formation specified by a set of bearing constraints and being disturbed by some unknown uniformly bounded disturbance{s}. A set of leaders are positioned at their desired…

Systems and Control · Electrical Eng. & Systems 2024-11-28 Thanh Truong Nguyen , Dung Van Vu , Tuynh Van Pham , Minh Hoang Trinh

This paper explores expressing the relative state in the close-proximity satellite relative motion problem in terms of fundamental solution constants. The nominal uncontrolled relative state can be expressed in terms of a weighted sum of…

Optimization and Control · Mathematics 2021-12-07 Ethan Burnett , Hanspeter Schaub

This article presents a unified synchronization framework with application to precision formation flying spacecraft. Central to the proposed innovation, in applying synchronization to both translational and rotational dynamics in the…

Optimization and Control · Mathematics 2011-08-05 Soon-Jo Chung , Umair Ahsun , Jean-Jacques E. Slotine

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

This work focuses on pose-following, a variant of path-following in which the goal is to steer the system's position and attitude along a path with a moving frame attached to it. Full body motion control, while accounting for the additional…

Robotics · Computer Science 2023-12-18 Jon Arrizabalaga , Markus Ryll

The feedback linearization method is further developed for the controller design on general nonlinear systems. Through the Lyapunov stability theory, the intractable nonlinear implicit algebraic control equations are effectively solved, and…

Systems and Control · Computer Science 2018-01-01 Sheng Zhang , Fei Liao , Yanqing Chen , Kaifeng He