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We propose a global constructibility analysis for a vehicle moving on a planar surface. Assuming that the vehicle follows a trajectory that can be uniquely identified by the sequence of control inputs and by some intermittent ranging…

系统与控制 · 电气工程与系统科学 2024-08-27 Francesco Riz , Luigi Palopoli , Daniele Fontanelli

The design of a nonlinear Luenberger observer for a parametrized linear SISO (single-input single-output) system is studied. From an observability assumption of the system, the existence of such an observer is concluded. In a second step, a…

动力系统 · 数学 2016-05-11 Chouaib Afri , Vincent Andrieu , Laurent Bako , Pascal Dufour

In this paper it is showed that if a time-varying uncertain system is robustly completely detectable then there exists an estimator for this system, i.e. we can estimate asymptotically the state vector of the system. Moreover, if a…

最优化与控制 · 数学 2007-05-23 Iasson Karafyllis , Costas Kravaris

In the context of spacecraft attitude control, parametrizations such as direction vectors or quaternions are often used to avoid singularities in the attitude representation. This, however, complicates the stability analysis of the system…

最优化与控制 · 数学 2026-04-16 Fabian Geyer , Friedrich Tuttas , Walter Fichter , Torbjørn Cunis

We develop a generic spacetime model in General Relativity which can be used to build any gravitational model within General Relativity. The generic model uses two types of assumptions: (a) Geometric assumptions additional to the inherent…

广义相对论与量子宇宙学 · 物理学 2021-06-15 Michael Tsamparlis , Andronikos Paliathanasis

This paper considers a wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable vector of state. The problem is to find a special function (Lyapunov function), which in the framework of the second…

系统与控制 · 电气工程与系统科学 2023-07-07 A. M. Zenkin , A. A. Peregudin , A. A. Bobtsov

We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting…

最优化与控制 · 数学 2007-05-23 Frederic Mazenc , Michael Malisoff , Marcio S. de Queiroz

A simple approach to gyro and accelerometer bias estimation is proposed. It does not involve Kalman filtering or similar formal techniques. Instead, it is based on physical intuition and exploits a duality between gimbaled and strapdown…

系统与控制 · 计算机科学 2013-07-02 Vasiliy M. Tereshkov

In this article we present a visual gyroscope based on equirectangular panoramas. We propose a new pipeline where we take advantage of combining three different methods to obtain a robust and accurate estimation of the attitude of the…

计算机视觉与模式识别 · 计算机科学 2024-02-05 Bruno Berenguel-Baeta , Antoine N. Andre , Guillaume Caron , Jesus Bermudez-Cameo , Jose J. Guerrero

This paper reviews the attitude control problems for rigid-body systems, starting from the attitude representation for rigid body kinematics. Highly redundant rotation matrix defines the attitude orientation globally and uniquely by 9…

系统与控制 · 电气工程与系统科学 2025-09-08 Hongye Su , Dandan Zhang

In this paper we consider equations of motion for 2-body problem according to an observer close to one of the gravitational bodies. The influence of the Thomas precession of the observer's frame has an important role. The equations of…

综合物理 · 物理学 2014-01-31 Kostadin Trenčevski , Emilija Celakoska

This paper studies the global feedback stabilization problem of a system with two pistons and the area between them containing a viscous compressible fluid (gas) modeled by the Navier-Stokes equations. The control input is the force applied…

最优化与控制 · 数学 2021-04-20 Iasson Karafyllis , Miroslav Krstic

Safety and stability are common requirements for robotic control systems; however, designing safe, stable controllers remains difficult for nonlinear and uncertain models. We develop a model-based learning approach to synthesize robust…

系统与控制 · 电气工程与系统科学 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

This paper presents a global stabilization result of the viscous Burgers' equation with the memory term by applying Neumann boundary feedback control laws. We construct suitable feedback control inputs using the control Lyapunov functional…

最优化与控制 · 数学 2026-02-03 Shishu Pal Singh , Sudeep Kundu

Lyapunov stability theory is the bedrock of direct adaptive control. Fundamentally, Lyapunov stability requires constructing a distance-like function which must decrease with time to ensure stability. Feedback linearization, backstepping,…

系统与控制 · 电气工程与系统科学 2020-02-18 Brett T. Lopez , Jean-Jacques E. Slotine

The paper solves the problem of tracking control of a quadrotor with unmeasurable pitch and roll angles based on the geometric approach with the use of the enhanced extended observer and the internal model. The proposed approach makes it…

系统与控制 · 电气工程与系统科学 2021-10-20 O. I. Borisov , M. A. Kakanov , A. Iu. Zhivitckii , A. A. Pyrkin

In this paper, we propose a suboptimal moving horizon estimator for nonlinear systems. For the stability analysis we transfer the "feasibility-implies-stability/robustness" paradigm from model predictive control to the context of moving…

系统与控制 · 电气工程与系统科学 2021-09-13 Julian D. Schiller , Sven Knüfer , Matthias A. Müller

A time optimal attitude control problem is studied for the dynamics of a rigid body. The objective is to minimize the time to rotate the rigid body to a desired attitude and angular velocity while subject to constraints on the control…

最优化与控制 · 数学 2007-09-19 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

In this paper, we present a novel generalizable object pose estimation method to determine the object pose using only one RGB image. Unlike traditional approaches that rely on instance-level object pose estimation and necessitate extensive…

计算机视觉与模式识别 · 计算机科学 2024-11-26 Yujing Sun , Caiyi Sun , Yuan Liu , Yuexin Ma , Siu Ming Yiu

The paper is concerned with the development of Lyapunov methods for the analysis of equilibrium stability in a dynamical system on the space of probability measures driven by a non-local continuity equation. We derive sufficient conditions…

偏微分方程分析 · 数学 2024-10-14 Yurii Aveboukh , Aleksei Volkov