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We present a robust control and estimation framework for quadrotors operating in Global Navigation Satellite System(GNSS)-denied, non-inertial environments where inertial sensors such as Inertial Measurement Units (IMUs) become unreliable…

Robotics · Computer Science 2026-02-05 Riming Xu , Obadah Wali , Yasmine Marani , Eric Feron

Relying on recent research results on Neural ODEs, this paper presents a methodology for the design of state observers for nonlinear systems based on Neural ODEs, learning Luenberger-like observers and their nonlinear extension…

Systems and Control · Electrical Eng. & Systems 2023-05-18 Keyan Miao , Konstantinos Gatsis

This paper introduces an advanced Lyapunov stability analysis for an attitude observer that has been developed on the special orthogonal group. In particular, when the attitude observer is constructed based on multiple direction…

Optimization and Control · Mathematics 2019-03-12 Kanishke Gamagedara , Taeyoung Lee , Dong Eui Chang

An adaptive state observer is proposed for a class of overparametrized uncertain linear time-invariant systems without restrictive requirement of their representation in the observer canonical form. It evolves the method of generalized…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

This paper presents a low-dimensional observer design for stable, single-input single-output, continuous-time linear time-invariant (LTI) systems. Leveraging the model reduction by moment matching technique, we approximate the system with a…

Systems and Control · Electrical Eng. & Systems 2025-08-04 M. F. Shakib , M. Khalil , R. Postoyan

In this paper we consider the joint problems of state estimation and model identification for a class of continuous-time nonlinear systems in output-feedback canonical form. An adaptive observer is proposed that combines an extended…

Systems and Control · Electrical Eng. & Systems 2020-12-01 Michelangelo Bin , Lorenzo Marconi

A method of designing observers and observer-based tracking controllers is proposed for nonlinear systems on manifolds via embedding into Euclidean space and transversal stabilization. Given a system on a manifold, we first embed the…

Optimization and Control · Mathematics 2018-06-19 Dong Eui Chang

Inertial-based navigation refers to the navigation methods or systems that have inertial information or sensors as the core part and integrate a spectrum of other kinds of sensors for enhanced performance. Through a series of papers, the…

Robotics · Computer Science 2023-05-18 Maoran Zhu , Yuanxin Wu

In this paper we are interested in the problem of adaptive state observation of linear time-varying (LTV) systems where the system and the input matrices depend on unknown time-varying parameters. It is assumed that these parameters satisfy…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Anton Pyrkin , Alexey Bobtsov , Romeo Ortega , Alberto Isidori

The paper considers the design of a nonlinear dissipative impulsive observer based on non-periodic discrete-time measurements. Sufficient conditions are derived for (i) exponential convergence of the observer in absence of measurement…

Systems and Control · Electrical Eng. & Systems 2020-06-09 A. Schaum , P. Feketa , T. Meurer , J. A. Moreno

We consider a class of uncertain linear time-invariant overparametrized systems affected by bounded disturbances, which are described by a known exosystem with unknown initial conditions. For such systems an exponentially stable extended…

Systems and Control · Electrical Eng. & Systems 2024-02-14 Anton Glushchenko , Konstantin Lastochkin

In this paper, the robust stability and convergence to the true state of moving horizon estimator based on an adaptive arrival cost are established for nonlinear detectable systems. Robust global asymptotic stability is shown for the case…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Nestor N. Deniz , Marina H. Murillo , Guido Sanchez , Lucas M. Genzelis , Leonardo Giovanini

Generalized parameter estimation-based observers have proven very successful to deal with systems described in state-affine form. In this paper, we enlarge the domain of applicability of this method proposing an algebraic procedure to…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Romeo Ortega , Alexey Bobtsov , Jose Guadalupe Romero , Leyan Fang

We consider the classical problem of estimating the attitude and gyro biases of a rigid body from vector measurements and a triaxial rate gyro. We propose a simple "geometry-free" nonlinear observer with guaranteed uniform global asymptotic…

Optimization and Control · Mathematics 2016-11-09 Philippe Martin , Ioannis Sarras

We first develop systematic and comprehensive interval observer designs for linear time-invariant (LTI) systems, under standard assumptions of observability and interval bounds on the initial condition and uncertainties. Traditionally, such…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Thach Ngoc Dinh , Gia Quoc Bao Tran

This paper addresses the leader-following attitude consensus problem for a group of spacecraft when at least one follower can access the leader's attitude and velocity relative to the inertial space. A nonlinear distributed observer is…

Optimization and Control · Mathematics 2020-09-15 Haichao Gui , Anton H. J. de Ruiter

This paper addresses the data-driven identification of latent dynamical representations of partially-observed systems, i.e., dynamical systems for which some components are never observed, with an emphasis on forecasting applications,…

We consider the problem of distributed state estimation of a linear time-invariant (LTI) system by a network of sensors. We develop a distributed observer that guarantees asymptotic reconstruction of the state for the most general class of…

Systems and Control · Computer Science 2017-04-27 Aritra Mitra , Shreyas Sundaram

Nonlinear friction has long been, and continues to be, one of the major challenges for precision motion control systems. A linear asymptotic observer of the motion state variables with nonlinear friction uses a dedicated state-space…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Michael Ruderman

This paper presents a data-driven approach for designing state observers for continuous-time nonlinear systems, where an extended dynamic mode decomposition (EDMD) procedure is used to identify an approximate linear lifted model. Since such…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Xiuzhen Ye , Wentao Tang
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