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Kalman and H-infinity filters, the most popular paradigms for linear state estimation, are designed for very specific specific noise and disturbance patterns, which may not appear in practice. State observers based on the minimization of…

Systems and Control · Electrical Eng. & Systems 2022-12-09 Jean-Sébastien Brouillon , Florian Dörfler , Giancarlo Ferrari-Trecate

This paper deals with the state estimation problem in discrete-event systems modeled with nondeterministic finite automata, partially observed via a sensor measuring unit whose measurements (reported observations) may be vitiated by a…

Information Theory · Computer Science 2020-11-04 Yuting Li , Christoforos N. Hadjicostis , Naiqi Wu , Zhiwu Li

Systems with delayed feedback can possess chaotic attractors with extremely high dimension, even if only a few physical degrees of freedom are involved. We propose a state space reconstruction from time series data of a scalar observable,…

chao-dyn · Physics 2019-08-17 Rainer Hegger , Martin J. Bünner , Holger Kantz , Antonino Giaquinta

The problem of disturbance rejection/attenuation for constant-input delayed linear multi-agent systems (MASs) with the directed communication topology is tackled in this paper, where a classic model reduction technique is introduced to…

Systems and Control · Computer Science 2018-03-28 Wei Jiang , Zhaoxia Peng , Ahmed Rahmani , Wei Hu , Guoguang Wen

This paper presents two schemes to jointly estimate parameters and states of discrete-time nonlinear systems in the presence of bounded disturbances and noise and where the parameters belong to a known compact set. The schemes are based on…

Optimization and Control · Mathematics 2022-03-23 T. J. Meijer , V. S. Dolk , M. S. Chong , R. Postoyan , B. de Jager , D. Nešić , W. P. M. H. Heemels

We propose an observer for a SIR epidemic model. The observer is then uplifted into a predictor to compensate for time delays in the input and the output. Tuning criteria are given for tuning gains of the predictor, while the…

Systems and Control · Electrical Eng. & Systems 2021-08-05 Sabine Mondié , Fernando Castaños

The development of disturbance estimators using extended state observers (ESOs) typically assumes that the system is observable. This paper introduces an improved method for systems that are initially unobservable, leveraging Taylor…

Systems and Control · Electrical Eng. & Systems 2024-09-13 Cuong Duc Nguyen

This paper introduces a novel optimization-based approach for parametric nonlinear system identification. Building upon the prediction error method framework, traditionally used for linear system identification, we extend its capabilities…

Optimization and Control · Mathematics 2024-03-27 Léo Simpson , Jonas Asprion , Simon Muntwiler , Johannes Köhler , Moritz Diehl

We address the problem of robust state reconstruction for discrete-time nonlinear systems when the actuators and sensors are injected with (potentially unbounded) attack signals. Exploiting redundancy in sensors and actuators and using a…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Tianci Yang , Carlos Murguia , Chen Lv , Dragan Nesic , Chao Huang

In real-world reinforcement learning (RL) systems, various forms of {\it impaired observability} can complicate matters. These situations arise when an agent is unable to observe the most recent state of the system due to latency or lossy…

Machine Learning · Computer Science 2023-10-30 Minshuo Chen , Jie Meng , Yu Bai , Yinyu Ye , H. Vincent Poor , Mengdi Wang

This paper is concerned with the problem of state estimation for discrete-time linear systems in the presence of additional (equality or inequality) constraints on the state (or estimate). By use of the minimum variance duality, the…

Optimization and Control · Mathematics 2021-12-08 Prabhat K. Mishra , Girish Chowdhary , Prashant G. Mehta

Recently, the distributed state estimation problem for continuous-time linear systems over jointly connected switching networks was solved. It was shown that the estimation errors will asymptotically converge to the origin by using the…

Optimization and Control · Mathematics 2022-10-07 Tao Liu , Jie Huang

A novel approach to reduced-order modeling of high-dimensional time varying systems is proposed. It leverages the formalism of the Dynamic Mode Decomposition technique together with the concept of balanced realization. It is assumed that…

Systems and Control · Electrical Eng. & Systems 2021-06-01 Andrea Iannelli , Urban Fasel , Roy S. Smith

This paper deals with the problem of state estimation for a class of linear time-invariant systems with quadratic output measurements. An immersion-type approach is presented that transforms the system into a state-affine system by adding a…

Optimization and Control · Mathematics 2020-08-04 Dionysis Theodosis , Soulaimane Berkane , Dimos V. Dimarogonas

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

Linear observed systems on groups encode the geometry of a variety of practical state estimation problems. In this paper, we propose an observer framework for a class of linear observed systems by restricting a bi-invariant system on a Lie…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Changwu Liu , Yuan Shen

In this work we propose an objective function to guide the search for a state space reconstruction of a dynamical system from a time series of measurements. This statistics can be evaluated on any reconstructed attractor, thereby allowing a…

Chaotic Dynamics · Physics 2012-05-16 L. C. Uzal , G. L. Grinblat , P. F. Verdes

Complex nonlinear dynamics are ubiquitous in many fields. Moreover, we rarely have access to all of the relevant state variables governing the dynamics. Delay embedding allows us, in principle, to account for unobserved state variables.…

Machine Learning · Computer Science 2022-04-27 Uttam Bhat , Stephan B. Munch

A simultaneous input and state interval observer is presented for Lipschitz continuous nonlinear systems with unknown inputs and bounded noise signals for the case when the direct feedthrough matrix has full column rank. The observer…

Systems and Control · Electrical Eng. & Systems 2020-02-13 Mohammad Khajenejad , Sze Zheng Yong

In this paper it is showed that if a time-varying uncertain system is robustly completely detectable then there exists an estimator for this system, i.e. we can estimate asymptotically the state vector of the system. Moreover, if a…

Optimization and Control · Mathematics 2007-05-23 Iasson Karafyllis , Costas Kravaris