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In this paper, we consider labeled finite-state automata (LFSAs), extend some state estimation-based properties from a single agent to a finite ordered set of agents. We also extend the notion of observer to \emph{high-order observer} using…

Formal Languages and Automata Theory · Computer Science 2026-01-01 Kuize Zhang , Xiaoguang Han , Alessandro Giua , Carla Seatzu

For an autonomous linear time-invariant (LTI) system, a distributed observer with time-triggered periodic observations and event-triggered communication is proposed to estimate the state of the system. It is shown that the sampling period…

Systems and Control · Electrical Eng. & Systems 2023-05-08 Shimin Wang , Zhan Shu , Tongwen Chen

This paper considers the problem of simultaneous estimation of the attitude, position and linear velocity for vehicles navigating in a three-dimensional space. We propose two types of hybrid nonlinear observers using continuous angular…

Optimization and Control · Mathematics 2020-07-22 Miaomiao Wang , Abdelhamid Tayebi

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

This paper develops an optimal relative output-feedback based solution to the containment control problem of linear heterogeneous multi-agent systems. A distributed optimal control protocol is presented for the followers to not only assure…

Observers are well known in control theory. Originally designed to estimate the hidden states of dynamical systems given some measurements, the observers scope has been recently extended to the estimation of some unknowns, for systems…

Optimization and Control · Mathematics 2014-01-21 Sharefa Asiri , Taous-Meriem Laleg-Kirati , Chadia Zayane-Aissa

In this paper an adaptive state observer and parameter identification algorithm for a linear time-varying system are developed under condition that the state matrix of the system contains unknown time-varying parameters of a known form. The…

Systems and Control · Electrical Eng. & Systems 2024-02-22 Olga Kozachek , Nikolay Nikolaev , Olga Slita , Alexey Bobtsov

This paper builds on recent work on Simultaneous Localisation and Mapping (SLAM) in the non-linear observer community, by framing the visual localisation and mapping problem as a continuous-time equivariant observer design problem on the…

Robotics · Computer Science 2020-06-16 Pieter van Goor , Robert Mahony , Tarek Hamel , Jochen Trumpf

The problem of state estimation in the setting of partially-observed discrete event systems subject to cyber attacks is considered. An operator observes a plant through a natural projection that hides the occurrence of certain events. The…

Cryptography and Security · Computer Science 2021-12-15 Qi Zhang , Carla Seatzu , Zhiwu Li , Alessandro Giua

A network of observers is considered, where through asynchronous (with bounded delay) communications, they cooperatively estimate the states of a Linear Time-Invariant (LTI) system. In such a setting, a new type of adversary might affect…

Cryptography and Security · Computer Science 2022-08-30 Mostafa Safi

This paper considers the cooperative output regulation problem for linear multi-agent systems with a directed communication graph, heterogeneous linear subsystems, and an exosystem whose output is available to only a subset of subsystems.…

Optimization and Control · Mathematics 2015-01-26 Zhongkui Li , Michael Z. Q. Chen , Zhengtao Ding

This work proposes a detectability condition for linear time-varying systems based on the exponential dichotomy spectrum. The condition guarantees the existence of an observer, whose gain is determined only by the unstable modes of the…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Markus Tranninger , Richard Seeber , Martin Steinberger , Martin Horn , Christian Pötzsche

This paper considers the problem of attitude, position and linear velocity estimation for rigid body systems relying on landmark measurements. We propose two hybrid nonlinear observers on the matrix Lie group $SE_2(3)$, leading to global…

Optimization and Control · Mathematics 2020-05-15 Miaomiao Wang , Abdelhamid Tayebi

Predicting the state of a system in a relatively near future time instant is often needed for control purposes. However, when the system is affected by external disturbances, its future state is dependent on the forthcoming disturbance;…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Alberto Castillo , Pedro Garcia

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

We consider the distributed $H_\infty$ estimation problem with an additional requirement of resilience to biasing attacks. An attack scenario is considered where an adversary misappropriates some of the observer nodes and injects biasing…

Systems and Control · Electrical Eng. & Systems 2019-06-18 Valery Ugrinovskii

We present a geometric approach to designing distributed unknown input observers (DUIOs) for linear time-invariant systems, where measurements are distributed across nodes and each node is influenced by \emph{unknown inputs} through…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Ruixuan Zhao , Guitao Yang , Thomas Parisini , Boli Chen

In this paper, we present a scheme of fully distributed resilient state estimation for linear dynamical systems under sensor attacks. The proposed state observer consists of a network of local observers, where each of them utilizes local…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Jin Gyu Lee , Junsoo Kim , Hyungbo Shim

The method to design exponentially stable adaptive observers is proposed for linear time-invariant systems parameterized by unknown physical parameters. Unlike existing adaptive solutions, the system state-space matrices A, B are not…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

This paper addresses the emulation-based observer design for networked control systems (NCS) with linear plants that operate at two time scales in the presence of measurement noise. The system is formulated as a hybrid singularly perturbed…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Weixuan Wang , Alejandro I. Maass , Dragan Nešić , Ying Tan , Romain Postoyan , W. P. M. H. Heemels
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