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In this paper, we apply the recently developed generalized parameter estimation-based observer design technique for state-affine systems to the practically important case of linear time-varying descriptor systems with uncertain parameters.…

Systems and Control · Electrical Eng. & Systems 2024-07-22 Romeo Ortega , Alexey Bobtsov , Fernando Castanos , Nikolay Nikolaev

This paper is devoted to the design of full order proportional-integral observer for the state estimation of discrete-time linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the…

Optimization and Control · Mathematics 2024-03-07 Konstadinos H. Kiritsis

Nonlinear observer design for systems whose state space evolves on Lie groups is considered. The proposed method is similar to previously developed nonlinear observers in that it involves propagating the state estimate using a process model…

Systems and Control · Computer Science 2018-04-10 David Evan Zlotnik , James Richard Forbes

This work deals with the problem of designing disturbance decupled observers for the estimation of a function of the states in nonlinear systems. Necessary and sufficient conditions for the existence of lower order disturbance decoupled…

Optimization and Control · Mathematics 2023-07-19 Sunjeev Venkateswaran , Costas Kravaris

This paper proposes a novel approach for designing functional observers for nonlinear systems, with linear error dynamics and assignable poles. Sufficient conditions for functional observability are first derived, leading to functional…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Costas Kravaris

This paper presents a framework on minimal-order appointed-time unknown input observers for linear systems based on the pairwise observer structure. A minimal-order appointed-time observer is first proposed for the linear system without the…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Yuezu Lv , Zhongkui Li , Zhisheng Duan

A time-invariant, linear, distributed observer is described for estimating the state of an $m>0$ channel, $n$-dimensional continuous-time linear system of the form $ \dot{x} = Ax,\ y_i = C_i x,\ i \in \{1,2,\cdots, m\}$. The state $x$ is…

Systems and Control · Computer Science 2020-03-16 L. Wang , A. S. Morse

This paper revisits the previously proposed linear asymptotic observer of the motion state variables with nonlinear friction and provides a robust design suitable for both, transient presliding and steady-state sliding phases of the…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Michael Ruderman

The internal state of a dynamical system, a set of variables that defines its evolving configuration, is often hidden and cannot be fully measured, posing a central challenge for real-time monitoring and control. While observers are…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Yuan Zhang , Ziyuan Luo , Wenxuan Xu , Jiayu Wu , Wenqi Cao , Ranbo Cheng , Tingting Qin , Yuanqing Xia , Mohamed Darouach , Aming Li , Tyrone Fernando

In this paper, we investigate the estimator-based output feedback control problem of multi-delay systems. This work is an extension of recently developed operator-value LMI framework for infinite-dimensional time-delay systems. Based on the…

Optimization and Control · Mathematics 2019-09-16 Shuangshuang Wu , Matthew M. Peet , Changchun Hua

Nonlinear dynamical systems are ubiquitous in science and engineering, yet analysis and prediction of these systems remains a challenge. Koopman operator theory circumvents some of these issues by considering the dynamics in the space of…

Numerical Analysis · Mathematics 2020-02-17 Mason Kamb , Eurika Kaiser , Steven L. Brunton , J. Nathan Kutz

In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay. The main novelty of our approach lies on the use of…

Optimization and Control · Mathematics 2022-09-13 Thiago Alves Lima , Matteo Della Rossa , Frédéric Gouaisbaut , Raphaël Jungers , Sophie Tarbouriech

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

The paper deals with the observer design problem for a wide class of triangular time-varying nonlinear systems, with unobservable linearization. Sufficient conditions are derived for the existence of a Luenberger-type observer, when it is a…

Optimization and Control · Mathematics 2012-04-17 D. Boskos , J. Tsinias

This article addresses the problem of state observer design for continuous-time linear positive networked systems. Considering the bandwidth constraint in the communication network, an event-measurement-based positive observer design is…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Bhargavi Chaudhary , Krishanu Nath , Subashish Datta , Indra Narayan Kar

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

State estimation for a class of linear time-invariant systems with distributed output measurements (distributed sensors) and unknown inputs is addressed in this paper. The objective is to design a network of observers such that the state…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Guitao Yang , Angelo Barboni , Hamed Rezaee , Thomas Parisini

The sliding mode observer is a useful method for estimating the system state and the unknown disturbance. However, the traditional single-layer observer might still suffer from high pulse when the output measurement is mixed with noise. To…

Systems and Control · Electrical Eng. & Systems 2023-10-27 Yiyong Sun , Zhang Chen , Guang Zhai , Bin Liang

This work addresses the design of a robust hybrid observer for discrete-time switched linear systems subject to unknown inputs and modeling errors. The observer herein proposed is synthesized, for the case when the active mode is unknown…

Dynamical Systems · Mathematics 2019-02-19 Djamel Belkhiat , Nadhir Messai , Noureddine Manamanni

While the design of optimal peak-to-peak controllers/observers for linear systems is known to be a difficult problem, this problem becomes interestingly much easier in the context of interval observers because of the positive nature of the…

Optimization and Control · Mathematics 2016-08-01 Corentin Briat , Mustafa Khammash