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This is the second part of four series papers, aiming at the problem of sensor dynamics compensation for abstract linear systems. Two major issues are addressed. The first one is about the sensor dynamics compensation in system observation…

Systems and Control · Electrical Eng. & Systems 2020-09-04 Hongyinping Feng , Xiao-Hui Wu , Bao-Zhu Guo

A high-gain extended observer is designed for a class of nonlinear uncertain systems. This observer has the ability of estimating system uncertainty, and it can be used to estimate the derivatives of signal up to order n. The controller…

Systems and Control · Electrical Eng. & Systems 2023-02-13 Xinhua Wang , Zengqiang Chen , Zhuzhi Yuan

This paper studies the problem of state estimation for linear time-invariant descriptor systems in their most general form. The estimator is a system of ordinary differential equations (ODEs). We introduce the notion of partial causal…

Optimization and Control · Mathematics 2024-05-14 Juhi Jaiswal , Thomas Berger , Nutan K. Tomar

Data generated from dynamical systems with unknown dynamics enable the learning of state observers that are: robust to modeling error, computationally tractable to design, and capable of operating with guaranteed performance. In this paper,…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Ankush Chakrabarty , Mouhacine Benosman

This article presents a novel perspective along with a scalable methodology to design a fault detection and isolation (FDI) filter for high dimensional nonlinear systems. Previous approaches on FDI problems are either confined to linear…

Optimization and Control · Mathematics 2016-01-25 Peyman Mohajerin Esfahani , John Lygeros

This paper considers the design of robust state observers for a class of slope-restricted nonlinear descriptor systems with unknown time-varying parameters belonging to a known set. The proposed design accounts for process disturbances and…

Optimization and Control · Mathematics 2022-07-12 T. J. Meijer , V. S. Dolk , M. S. Chong , W. P. M. H. Heemels

In this paper, we propose observers for the dynamics of anthracnose disease described in [12]. Spatial and non spatial versions of the observers are given following an approach similar to [12]. The models given in [12] are improved in order…

Optimization and Control · Mathematics 2015-10-27 David Jaures Fotsa Mbogne , Duplex Elvis Houpa Danga , David Bekolle

An important issue in functional time series analysis is whether an observed series comes from a purely random process. We extend the BDS test, a widely-used nonlinear independence test, to the functional time series. Like the BDS test in…

Methodology · Statistics 2023-04-05 Xin Huang , Han Lin Shang , Tak Kuen Siu

This work proposes a method for model-free synthesis of a state observer for nonlinear systems with manipulated inputs, where the observer is trained offline using a historical or simulation dataset of state measurements. We use the…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Moritz Woelk , Jarod Morris , Wentao Tang

This paper deals with the problem of predicting the future state of discrete-time input-delayed systems in the presence of unknown disturbances that can affect both the state and the output equations of the plant. Since the disturbance is…

Systems and Control · Electrical Eng. & Systems 2022-08-10 Thiago Alves Lima , Valessa V. Viana , Bismark C. Torrico , Fabrício G. Nogueira , Diego de S. Madeira

Designing observers for linear systems with both known and unknown inputs is an important problem in several research contexts, for example, fault diagnosis and fault-tolerant control, and cyber-secure control systems, and presents…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Ruixuan Zhao , Guitao Yang , Thomas Parisini , Boli Chen

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

This article studies two problems related to observability and efficient constrained sensor placement in linear time-invariant discrete-time systems with partial state observations. (i) We impose the condition that both the set of outputs…

Optimization and Control · Mathematics 2021-05-21 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

In this paper we are interested in the problem of state observation of state-affine nonlinear systems. Our main contribution is to propose a globally exponentially convergent observer that requires only the necessary assumption of…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Lei Wang , Romeo Ortega , Alexei Bobtsov

The safety monitoring for nonlinear dynamical systems with embedded neural network components is addressed in this paper. The interval-observer-based safety monitor is developed consisting of two auxiliary neural networks derived from the…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Tao Wang , Yapeng Li , Zihao Mo , Wesley Cooke , Weiming Xiang

This note investigates the distributed estimation problem for continuous-time linear time-invariant (LTI) systems observed by a network of observers. Each observer in the network has access to only part of the output of the observed system,…

Optimization and Control · Mathematics 2017-08-07 Weixin Han , Harry L. Trentelman , Zhenhua Wang , Yi Shen

This paper presents a data-integrated framework for learning the dynamics of fractional-order nonlinear systems in both discrete-time and continuous-time settings. The proposed framework consists of two main steps. In the first step,…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Bahram Yaghooti , Chengyu Li , Bruno Sinopoli

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 presents adaptive observers for online state and parameter estimation of a class of nonlinear systems motivated by biophysical models of neuronal circuits. We first present a linear-in-the-parameters design that solves a…

Systems and Control · Electrical Eng. & Systems 2024-02-19 Thiago B. Burghi , Rodolphe Sepulchre

This paper introduces a novel recursive distributed estimation algorithm aimed at synthesizing input and state interval observers for nonlinear bounded-error discrete-time multi-agent systems. The considered systems have sensors and…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Mohammad Khajenejad , Scott Brown , Sonia Martinez