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In this paper, a concurrent learning based adaptive observer is developed for a class of second-order linear time-invariant systems with uncertain system matrices. The developed technique yields an exponentially convergent state estimator…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar

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

For nonlinear analytic control systems, we introduce a new paradigm for dynamic output feedback stabilization. We propose to periodically sample the usual observer based control law, and to reshape it so that it coincides with a ''control…

Optimization and Control · Mathematics 2024-01-17 Vincent Andrieu , Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

A geometric nonlinear observer algorithm for Simultaneous Localization and Mapping (SLAM) developed on the Lie group of \mathbb{SLAM}_{n}\left(3\right) is proposed. The presented novel solution estimates the vehicle's pose (i.e. attitude…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Hashim A. Hashim

In the theory of quantum dynamical filtering, one of the biggest issues is that the underlying system dynamics represented by a quantum stochastic differential equation must be known exactly in order that the corresponding filter provides…

Quantum Physics · Physics 2011-11-09 Naoki Yamamoto

This article presents an extended state observer for vehicle modeled as a rigid body in three-dimensional translational and rotational motions. The extended state observer is applicable to a rotorcraft aerial vehicle with a fixed plane of…

Dynamical Systems · Mathematics 2023-07-19 Ningshan Wang , Reza Hamrah , Amit K. Sanyal , Mark N. Glauser

This paper addresses the problems of stabilization, robust control, and observer design for nonlinear systems. We build upon recently a proposed method based on contraction theory and convex optimization, extending the class of systems to…

Optimization and Control · Mathematics 2014-09-29 Ian R. Manchester , Jean-Jacques E. Slotine

We propose a 12-dimensional, global, continuous, and exponentially convergent observer for gyro bias and attitude of a rigid body. Any attitude observer developed on the special orthogonal group suffers from the topological restriction that…

Optimization and Control · Mathematics 2019-09-24 Dong Eui Chang , Taeyoung Lee

This paper deals with the state estimation of linear time-invariant systems using distributed observers with local sampled-data measurement and aperiodic communication. Each observer agent perceives partial information of the system to be…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Shimin Wang , Ya-Jun Pan , Martin Guay

The estimation of the full state of a nonautonomous semilinear parabolic equation is achieved by a Luenberger type dynamical observer. The estimation is derived from an output given by a finite number of average measurements of the state on…

Analysis of PDEs · Mathematics 2025-03-10 Sérgio S. Rodrigues

In this paper we propose a novel observer to solve the problem of visual simultaneous localization and mapping (SLAM), only using the information from a single monocular camera and an inertial measurement unit (IMU). The system state…

Robotics · Computer Science 2021-12-22 Bowen Yi , Chi Jin , Lei Wang , Guodong Shi , Ian R. Manchester

This is the last part of four series papers, aiming at stabilization for signal-input-signaloutput (SISO) linear finite-dimensional systems corrupted by general input disturbances. A new observer, referred to as Extended Dynamics Observer…

Systems and Control · Electrical Eng. & Systems 2020-11-13 Hongyinping Feng , Bao-Zhu Guo

The knowledge of the states of a vehicle is a necessity to perform proper planning and control. These quantities are usually accessible through measurements. Control theory brings extremely useful methods -- observers -- to deal with…

Robotics · Computer Science 2023-04-03 Agapius Bou Ghosn , Philip Polack , Arnaud de La Fortelle

This paper proposes an Extended-Kalman-Filter-like observer for parameter estimation during synchronization of chaotic systems. The exponential stability of the observer is guaranteed by a persistent excitation condition. This approach is…

Chaotic Dynamics · Physics 2017-06-21 L. Torres

This paper introduces a new nonlinear observer for state estimation of linear time invariant systems. The proposed observer contains a (nonlinear) cubic term in its error dynamics. "For the final version of this article, please refer to the…

Optimization and Control · Mathematics 2020-06-05 Mohammad Mahdi Share Pasand

In this paper, we deal with the problem of the stabilization in the sample-and-hold sense, by emulation of continuous-time, observer-based, global stabilizers. Fully nonlinear time-delay systems are studied. Sufficient conditions are…

Systems and Control · Computer Science 2018-02-28 Mario Di Ferdinando , Pierdomenico Pepe

This paper proposes a linear input-output observer design methodology for a population of systems in which each observer uses knowledge of the linear time-invariant dynamics of the particular device. Observers are typically composed of a…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Timothy Everett Adams , James Richard Forbes

This work highlights the duality between state estimation methods and model predictive control. A predictive controller, observed control, is presented that uses this duality to efficiently compute control actions with linear time-horizon…

Optimization and Control · Mathematics 2025-08-20 Eugene T. Hamzezadeh , Andrew J. Petruska

This published paper investigates the distributed tracking control problem for a class of Euler-Lagrange multi-agent systems when the agents can only measure the positions. In this case, the lack of the separation principle and the strong…

Systems and Control · Electrical Eng. & Systems 2019-07-02 Qingkai Yang , Hao Fang , Jie Chen , Zhong-Ping Jiang , Ming Cao

This paper deals with the problem of designing unknown input observers for a class of coupled semilinear wave partial differential equations (PDE) systems. A state observer is designed to estimate the uncertain coupled wave PDE systems.…

Optimization and Control · Mathematics 2026-01-13 Najmeh Ghaderi , Birgit Jacob