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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

A fundamental challenge in robust visual-inertial odometry (VIO) is to dynamically assess the reliability of sensor measurements. This assessment is crucial for properly weighting the contribution of each measurement to the state estimate.…

Robotics · Computer Science 2025-10-03 Seungwon Choi , Donggyu Park , Seo-Yeon Hwang , Tae-Wan Kim

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

Observer design typically requires the observability of the underlying system, which may be hard to verify for nonlinear systems, while guaranteeing asymptotic convergence of errors, which may be insufficient in order to satisfy performance…

Optimization and Control · Mathematics 2017-03-23 Shankar Mohan , Jinsun Liu , Ram Vasudevan

A nonlinear observer on the Special Euclidean group $\mathrm{SE(3)}$ for full pose estimation, that takes the system outputs on the real projective space directly as inputs, is proposed. The observer derivation is based on a recent advanced…

Optimization and Control · Mathematics 2015-09-11 Minh-Duc Hua , Tarek Hamel , Robert Mahony , Jochen Trumpf

We present a framework to design nonlinear robust output feedback model predictive control (MPC) schemes that ensure constraint satisfaction under noisy output measurements and disturbances. We provide novel estimation methods to bound the…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

This paper presents versions of integral input-to-state stability and integral input-to-integral-state stability for nonlinear sampled-data systems, under the low measurement rate constraint. In particular, we compensate the lack of…

Dynamical Systems · Mathematics 2018-04-24 Navid Noroozi , Seyed Hossein Mousavi , Horacio J. Marquez

A systematic procedure to synthesize interval observers for nonlinear discrete-time systems is proposed. The feedback gains and other matrices are found from the solutions to semidefinite feasibility programs. Two cases are considered: (1)…

Optimization and Control · Mathematics 2020-11-10 Adam M Tahir , Behcet Acikmese

A high-gain observer is used for a class of feedback linearisable nonlinear systems to synthesize safety-preserving controllers over the observer output. A bound on the distance between trajectories under state and output feedback is…

Systems and Control · Computer Science 2016-03-23 Kendra Lesser , Alessandro Abate

Hybrid approaches that combine data-driven learning with physics-based insight have shown promise for improving the reliability of industrial condition monitoring. This work develops a hybrid condition monitoring framework that integrates…

Machine Learning · Computer Science 2026-04-14 Maryam Ahang , Todd Charter , Masoud Jalayer , Homayoun Najjaran

We study the design problems of state observers and tracking controllers for a class of hybrid systems whose state jumps. The idea is to utilize the well-known method of gluing the jump set (a part of domain where the jumps take place) onto…

Systems and Control · Computer Science 2021-01-11 Jisu Kim , Hyungbo Shim , Jin Heon Seo

We study global finite-dimensional observer-based stabilization of a semilinear 1D heat equation with globally Lipschitz semilinearity in the state variable. We consider Neumann actuation and point measurement. Using dynamic extension and…

Optimization and Control · Mathematics 2021-12-30 Rami Katz , Emilia Fridman

In this paper, an adaptive observer is proposed for multi-input multi-output (MIMO) discrete-time linear time-invariant (LTI) systems. Unlike existing MIMO adaptive observer designs, the proposed approach is applicable to LTI systems in…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Anchita Dey , Shubhendu Bhasin

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

Optimization and Control · Mathematics 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

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

Accurate estimation of the internal states of lithium-ion batteries is key towards improving their management for safety, efficiency and longevity purposes. Various approaches exist in the literature in this context, among which designing…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Mira Khalil , Romain Postoyan , Stéphane Raël

A new adaptive observer is proposed for a certain class of nonlinear systems with bounded unknown input and parametric uncertainty. Unlike most existing solutions, the proposed approach ensures asymptotic convergence of the unknown…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Anton Glushchenko , Konstantin Lastochkin

This paper deals with the simultaneous estimation of the attitude, position and linear velocity for vision-aided inertial navigation systems. We propose a nonlinear observer on $SO(3)\times \mathbb{R}^{15}$ relying on body-frame…

Optimization and Control · Mathematics 2021-06-08 Miaomiao Wang , Soulaimane Berkane , Abdelhamid Tayebi

Parameter estimation-based observer (PEBO) is a recently developed constructive tool to design state observers for nonlinear systems. It reformulates the state estimation problem as one of online parameter identification, effectively…

Optimization and Control · Mathematics 2026-03-11 Bowen Yi , Leyan Fang , Romeo Ortega

In this work we solve the position-aided 3D navigation problem using a nonlinear estimation scheme. More precisely, we propose a nonlinear observer to estimate the full state of the vehicle (position, velocity, orientation and gyro bias)…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Soulaimane Berkane , Abdelhamid Tayebi
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