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In this paper, we consider distributed simultaneous state and parameter estimation for a class of nonlinear systems, for which the augmented model comprising both the states and the parameters is only partially observable. Specifically, we…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Siyu Liu , Xunyuan Yin , Jinfeng Liu , Feng Ding

A technique is introduced for estimating unknown parameters when time series of only one variable from a multivariate nonlinear dynamical system is given. The technique employs a combination of two different control methods, a linear…

chao-dyn · Physics 2009-10-31 Anil Maybhate , R. E. Amritkar

This paper investigates parameter learning problems under deficient excitation (DE). The DE condition is a rank-deficient, and therefore, a more general evolution of the well-known persistent excitation condition. Under the DE condition, a…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Ganghui Cao , Shimin Wang , Martin Guay , Jinzhi Wang , Zhisheng Duan , Marios M. Polycarpou

This paper shows how the theory of nonlinear adaptive observers can be effectively used in the design of internal models for nonlinear output regulation. The theory substantially enhances the existing results in the context of {\em…

Optimization and Control · Mathematics 2007-05-23 Francesco Delli Priscoli , Lorenzo Marconi , Alberto Isidori

This paper presents an adaptive observer design for semilinear hyperbolic rolling contact ODE-PDE systems with uncertain friction characteristics parameterized by a matrix of unknown coefficients appearing in the nonlinear (and possibly…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Luigi Romano , Ole Morten Aamo , Miroslav Krstić , Jan Åslund , Erik Frisk

State estimation constitutes a core task in monitoring, supervision, and control of dynamic systems. This paper proposes a data-driven framework for the design of state observers for descriptor systems. Necessary and sufficient conditions…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Yuan Zhang , Yu Wang , Keke Huang , Zhongqi Sun , Tyrone Fernando

This paper presents a detection algorithm for sensor attacks and a resilient state estimation scheme for a class of uniformly observable nonlinear systems. An adversary is supposed to corrupt a subset of sensors with the possibly unbounded…

Systems and Control · Computer Science 2021-01-11 Junsoo Kim , Chanhwa Lee , Hyungbo Shim , Yongsoon Eun , Jin Heon Seo

This paper develops some extensions to the work of [1] which studied the continuous-time adaptive output tracking control schemes with the reference output signal generated from an unknown reference model system. The presented extensions…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Gang Tao

The known dynamic regressor extension and mixing method (DREM) is combined with the proposed filter of a new type, which uses the integration operation with forgetting, and the recursive least-squares method to develop the new I-DREM model…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Anton Glushchenko , Vladislav Petrov , Konstantin Lastochkin

It is nontrivial to achieve global zero-error regulation for uncertain nonlinear systems. The underlying problem becomes even more challenging if mismatched uncertainties and unknown time-varying control gain are involved, yet certain…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Hefu Ye , Yongduan Song

This article focuses on the development of functional unknown input observers for systems with arbitrary relative degree. Two distinct approaches are presented to address this challenge. The first approach is tailored to a class of…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Alexey A. Margun , Alexey A. Bobtsov , Denis V. Efimov , Alexandr D. Panin , Mariia O. Rassolova

While adaptive sensing has provided improved rates of convergence in sparse regression and classification, results in nonparametric regression have so far been restricted to quite specific classes of functions. In this paper, we describe an…

Statistics Theory · Mathematics 2015-03-20 Adam D. Bull

In this paper we study the question of how to reconstruct the state of a power system using Phasor Measurement Units (PMUs). In our previous research we proved that this question has an affirmative answer imposing some rather strict…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Alexey Bobtsov , Romeo Ortega , Nicolai Lorenz-Meyer , Johannes Schiffer

We propose a novel non-parametric adaptive anomaly detection algorithm for high dimensional data based on rank-SVM. Data points are first ranked based on scores derived from nearest neighbor graphs on n-point nominal data. We then train a…

Machine Learning · Statistics 2014-05-06 Jing Qian , Jonathan Root , Venkatesh Saligrama , Yuting Chen

The design of safe-critical control algorithms for systems under Denial-of-Service (DoS) attacks on the system output is studied in this work. We aim to address scenarios where attack-mitigation approaches are not feasible, and the system…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Santiago Jimenez Leudo , Kunal Garg , Ricardo G. Sanfelice , Alvaro A. Cardenas

In this paper, a novel finite - time Nonlinear Extended State Observer (NLESO) is proposed and employed in Active Disturbance Rejection Control (ADRC) to stabilize a nonlinear system against system's uncertainties and discontinuous…

Systems and Control · Computer Science 2019-04-02 Ibraheem Kasim Ibraheem , Amjad J. Humaidi

This is the last part of four series papers, aiming at stabilization for signal-input-signaloutput (SISO) linear finite-dimensional systems corrupted by general input disturbances. A new observer, referred to as Extended Dynamics Observer…

Systems and Control · Electrical Eng. & Systems 2020-11-13 Hongyinping Feng , Bao-Zhu Guo

We address the problem of estimating the inputs of a dynamical system from measurements of the system's outputs. To this end, we introduce a novel estimation algorithm that explicitly trades off bias and variance to optimally reduce the…

Machine Learning · Computer Science 2019-09-20 Sebastian Curi , Kfir Y. Levy , Andreas Krause

Traditional nonparametric estimation methods often lead to a slow convergence rate in large dimensions and require unrealistically enormous sizes of datasets for reliable conclusions. We develop an approach based on partial derivatives,…

Methodology · Statistics 2024-08-20 Xiaowu Dai

Several variants of stochastic gradient descent (SGD) have been proposed to improve the learning effectiveness and efficiency when training deep neural networks, among which some recent influential attempts would like to adaptively control…

Machine Learning · Computer Science 2020-10-22 Jie Liu , Chen Lin , Chuming Li , Lu Sheng , Ming Sun , Junjie Yan , Wanli Ouyang
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