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In this paper we are interested in the problem of adaptive state observation of linear time-varying (LTV) systems where the system and the input matrices depend on unknown time-varying parameters. It is assumed that these parameters satisfy…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Anton Pyrkin , Alexey Bobtsov , Romeo Ortega , Alberto Isidori

The paper considers the design of a nonlinear dissipative impulsive observer based on non-periodic discrete-time measurements. Sufficient conditions are derived for (i) exponential convergence of the observer in absence of measurement…

Systems and Control · Electrical Eng. & Systems 2020-06-09 A. Schaum , P. Feketa , T. Meurer , J. A. Moreno

Choosing a nonlinear state estimator for an application often involves a trade-off between local optimality (such as provided by an extended Kalman filter) and (almost-/semi-) global asymptotic stability (such as provided by a constructive…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Pieter van Goor , Robert Mahony

A new framework for adaptive regulation to invariant sets is proposed. Reaching the target dynamics (invariant set) is to be ensured by state feedback while adaptation to parametric uncertainties is provided by additional adaptation…

Optimization and Control · Mathematics 2007-05-23 Ivan Tyukin , Denis Efimov , Cees van Leeuwen

The relative degree limitation for adaptive observer-based synchronization schemes is overcome. The scheme is extended to nonpassifiable systems. Two synchronization methods are described and justified based on augmented error adaptive…

Optimization and Control · Mathematics 2007-05-23 V. O. Nikiforov , A. L. Fradkov , B. R. Andrievsky

The design of a nonlinear Luenberger observer for a parametrized linear SISO (single-input single-output) system is studied. From an observability assumption of the system, the existence of such an observer is concluded. In a second step, a…

Dynamical Systems · Mathematics 2016-05-11 Chouaib Afri , Vincent Andrieu , Laurent Bako , Pascal Dufour

In this paper we present a radically new approach to design state observers for nonlinear systems, with particular emphasis on physical ones. Our objective is to obtain an algebraic relation between the unmeasurable part of the state and…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Alexey Bobtsov , Jose Guadalupe Romero , Romeo Ortega , Anton Pyrkin

In this paper, adaptive set-point regulation controllers for discrete-time nonlinear systems are constructed. The system to be controlled is assumed to have a parametric uncertainty, and an excitation signal is used in order to obtain the…

Optimization and Control · Mathematics 2015-05-25 Shigeru Hanba

This paper introduces a new nonlinear observer for state estimation of linear time invariant systems. The proposed observer contains a (nonlinear) cubic term in its error dynamics. "For the final version of this article, please refer to the…

Optimization and Control · Mathematics 2020-06-05 Mohammad Mahdi Share Pasand

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

In this paper, a concurrent learning based adaptive observer is developed for a class of second-order nonlinear time-invariant systems with uncertain dynamics. The developed technique results in simultaneous online state and parameter…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Rushikesh Kamalapurkar

This paper utilizes the recently proposed cubic observer to estimate the state of a class of nonlinear systems. The cubic observer is proposed as an alternative to linear observers for improved convergence rate and robustness. It is shown…

Optimization and Control · Mathematics 2019-12-24 Mohammad Mahdi Share Pasand

Takagi-Sugeno (T-S) type of polytopic models have been used prominently in the literature to analyze nonlinear systems. With the sector nonlinearity approach, an exact representation of a nonlinear system within a sector could be obtained…

Optimization and Control · Mathematics 2017-04-19 Krishnan Srinivasarengan , José Ragot , Didier Maquin , Christophe Aubrun

In this note, we develop an adaptive observer for a class of nonlinear systems with switched unknown parameters to estimate the states and parameters simultaneously. The main challenge lies in how to eliminate the disturbance effect of…

Systems and Control · Electrical Eng. & Systems 2022-04-01 Tong Liu , Zengjie Zhang , Fangzhou Liu , Martin Buss

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

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

A novel adaptive control approach is proposed to solve the globally asymptotic state stabilization problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback…

Systems and Control · Computer Science 2016-09-29 Mingzhe Hou , Zongquan Deng , Guangren Duan

This paper is concerned with fault/disturbance compensation control for fully actuated systems. In particular, we explore observer-based control, incorporating an active compensation mechanism. First, we propose a novel observer with…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Weijie Ren , Guang-Ren Duan , Ping Li , He Kong

In this note we address the problem of indirect adaptive (regulation or tracking) control of nonlinear, input affine dissipative systems. It is assumed that the supply rate, the storage and the internal dissipation functions may be…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Romeo Ortega , Rafael Cisneros , Lei Wang , Arjan van der Schaft

The state estimation of continuous-time nonlinear systems in which a subset of sensor outputs can be maliciously controlled through injecting a potentially unbounded additive signal is considered in this paper. Analogous to our earlier work…

Optimization and Control · Mathematics 2020-08-31 Michelle S. Chong , Henrik Sandberg , Joao P. Hespanha