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We derive sufficient conditions for the solvability of the state estimation problem for a class of nonlinear control time-varying systems which includes those, whose dynamics have triangular structure. The state estimation is exhibited by…

Optimization and Control · Mathematics 2018-06-07 John Tsinias , Constantinos Kitsos

Consider a stationary agent A at an unknown location and a mobile agent B that must move to the vicinity of and then circumnavigate A at a prescribed distance from A. In doing so, B can only measure its distance from A, and knows its own…

Dynamical Systems · Mathematics 2009-05-28 Iman Shames , Soura Dasgupta , Baris Fidan , Brian. D. O. Anderson

This paper presents hybrid attitude and gyro-bias observers designed directly on the Special Orthogonal group SO(3). The proposed hybrid observers, enjoying global exponential stability, rely on a hysteresis-based switching between…

Optimization and Control · Mathematics 2017-01-26 Soulaimane Berkane , Abdelkader Abdessameud , Abdelhamid Tayebi

Using elementary knowledge of Special Relativity, we design a computational classroom experiment in excel and python. Here, we show that any inertial observer $\mathcal{B}$ with an arbitrary speed $u_\mathcal{B}$ is associated with a unique…

Physics Education · Physics 2022-06-27 Sushil Kumar Singh , Gervit Kumar Trehan , Savinder Kaur

Leader-follower tracking control design has received significant attention in recent years due to its important and wide applications. Considering a multi-agent system composed of a leader and multiple followers, this paper proposes and…

Systems and Control · Computer Science 2019-04-02 Chuan Yan , Huazhen Fang

We present the first solution to the problem of estimation of the state of multimachine power systems with lossy transmission lines. We consider the classical three-dimensional \fluxdecay" model of the power system and assume that the…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Alexey Bobtsov , Romeo Ortega , Nikolay Nikolaev , Johannes Schiffer

The Koopman operator approach to the state estimation problem for nonlinear systems is a promising research area. The main goal of this paper is an attempt to provide a rigorous theoretical framework for this approach. In particular, the…

Optimization and Control · Mathematics 2025-03-12 Judicaël Mohet , Alexandre Mauroy , Joseph J. Winkin

Observer-invariance is regarded as a minimum requirement for an appropriate definition and derived systematically from a spacetime setting, where observer-invariance is a special case of a covariance principle and covered by Ricci-calculus.…

Mathematical Physics · Physics 2021-11-25 Ingo Nitschke , Axel Voigt

In this paper, we introduce a new sliding mode observer for Lur'e set-valued dynamical systems, particularly addressing challenges posed by uncertainties not within the standard range of observation. Traditionally, most of Luenberger-like…

Optimization and Control · Mathematics 2024-04-26 Samir Adly , Jun Huang , Ba Khiet Le

This paper introduces a novel stabilization control strategy for linear time-invariant systems affected by known time-varying measurement delays and matched unknown nonlinear disturbances, which may encompass actuator faults. It is…

Optimization and Control · Mathematics 2025-07-30 Hardy Pinto , Tiago Roux Oliveira , Liu Hsu

Analyzing data from dynamical systems often begins with creating a reconstruction of the trajectory based on one or more variables, but not all variables are suitable for reconstructing the trajectory. The concept of nonlinear observability…

Chaotic Dynamics · Physics 2018-10-25 Thomas L. Carroll

In this paper, we propose a novel nonlinear observer based on neural networks, called neural observer, for observation tasks of linear time-invariant (LTI) systems and uncertain nonlinear systems. In particular, the neural observer designed…

Optimization and Control · Mathematics 2023-01-18 Song Chen , Shengze Cai , Tehuan Chen , Chao Xu , Jian Chu

When the direct view between the target and the observer is not available, due to obstacles with non-zero sizes, the observation is received after reflection from a reflector, this is the indirect view or Non-Line-Of Sight condition.…

Signal Processing · Electrical Eng. & Systems 2019-11-12 Muhammad. H Fares , Hadi Moradi , Mahmoud Shahabadi

This work presents a contracting hierarchical observer that fuses position and orientation measurements with an IMU to generate smooth position, linear velocity, orientation, and IMU bias estimates that are guaranteed to converge to their…

Robotics · Computer Science 2023-03-07 Brett T. Lopez

This paper deals with the state estimation for max-plus linear systems. This estimation is carried out following the ideas of the observer method for classical linear systems. The system matrices are assumed to be known, and the observation…

Optimization and Control · Mathematics 2013-06-06 L. Hardouin , C. A. Maia , B. Cottenceau , M. Lhommeau

We study the problem of designing interval-valued observers that simultaneously estimate the system state and learn an unknown dynamic model for partially unknown nonlinear systems with dynamic unknown inputs and bounded noise signals.…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Mohammad Khajenejad , Zeyuan Jin , Sze Zheng Yong

A globally exponentially stable speed observer for mechanical systems was recently reported in the literature, under the assumptions of known (or no) Coulomb friction and no disturbances. In this note we propose and adaptive version of this…

Dynamical Systems · Mathematics 2015-01-06 Jose Guadalupe Romero , Romeo Ortega

Observer models were developed to process data in list-mode format in order to perform binary discrimination tasks for use in an arms-control-treaty context. Data used in this study was generated using GEANT4 Monte Carlo simulations for…

Data Analysis, Statistics and Probability · Physics 2016-03-21 Christopher J. MacGahan , Matthew A. Kupinski , Nathan R. Hilton , Erik M. Brubaker , William C. Johnson

The present work provides a systematic approach for the design of sampled-data observers to a wide class of 1-D, parabolic PDEs with non-local outputs. The studied class of parabolic PDEs allows the presence of globally Lipschitz nonlinear…

Optimization and Control · Mathematics 2024-12-20 Iasson Karafyllis , Tarek Ahmed-Ali , Fouad Giri

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Amit K. Sanyal
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