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We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

Optimization and Control · Mathematics 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

The estimation of the full state of a nonautonomous semilinear parabolic equation is achieved by a Luenberger type dynamical observer. The estimation is derived from an output given by a finite number of average measurements of the state on…

Analysis of PDEs · Mathematics 2025-03-10 Sérgio S. Rodrigues

Exponentially stable extended adaptive observer is proposed for a class of linear time-invariant systems with unknown parameters and overparameterization. It allows one to reconstruct unmeasured states and bounded external disturbance…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

In this paper, a quantitative measure of partial observability is defined for PDEs. The quantity is proved to be consistent if the PDE is approximated using well-posed approximation schemes. A first order approximation of an unobservability…

Optimization and Control · Mathematics 2014-01-03 Wei Kang , Liang Xu , Francis X. Giraldo

Nonlinear friction has long been, and continues to be, one of the major challenges for precision motion control systems. A linear asymptotic observer of the motion state variables with nonlinear friction uses a dedicated state-space…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Michael Ruderman

We consider an interlinked production model consisting of conservation laws (PDE) coupled to ordinary differential equations (ODE). Our focus is the analysis of control laws for the coupled system and corresponding stabilization questions…

Optimization and Control · Mathematics 2019-12-13 Vanessa Baumgärtner , Simone Göttlich , Stephan Knapp

This paper considers the simultaneous state and unknown input estimation for continuous-discrete stochastic systems. Two types of approaches (with and without modeling of unknown inputs) which can address this issue are investigated. A…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Peng Lu

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

Unknown inputs related to, e.g., sensor aging, modeling errors, or device bias, represent a major concern in wireless sensor networks, as they degrade the state estimation performance. To improve the performance, unknown-input observers…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Yuzhou Wei , Giorgia Disarò , Wenjie Liu , Jian Sun , Maria Elena Valcher , Gang Wang

This paper addresses the robust stability of a boundary controlled system coupling two partial differential equations (PDEs), namely beam and string equations, in the presence of boundary and in-domain disturbances under the framework of…

Analysis of PDEs · Mathematics 2018-11-19 Jun Zheng , Hugo Lhachemi , Guchuan Zhu , David Saussi

Contraction analysis offers, through elegant mathematical developments, a unified way of designing observers for a general class of nonlinear systems, where the observer correction term is obtained by solving an infinite dimensional…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Yasmine Marani , Israel Filho , Tareq Al-Naffouri , Taous-Meriem Laleg-Kirati

We derive sufficient conditions for the solvability of the state estimation problem for a class of nonlinear control time-varying systems which includes those, whose dynamics have triangular structure. The state estimation is exhibited by…

Optimization and Control · Mathematics 2018-06-07 John Tsinias , Constantinos Kitsos

In this paper we propose a new state observer design technique for nonlinear systems. It consists of an extension of the recently introduced parameter estimation-based observer, which is applicable for systems verifying a particular…

Dynamical Systems · Mathematics 2020-11-16 Romeo Ortega , Alexey Bobtsov , Nikolay Nikolaev , Johannes Schiffer , Denis Dochain

This paper investigates the problem of consensus-based distributed control of linear time-invariant multi-channel systems subject to unknown inputs. A distributed observer-based control framework is proposed, within which observer nodes and…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Ganghui Cao , Xunyuan Yin

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

This paper proposes a robust disturbance observer framework for maritime autonomous surface vessels considering model and measurement uncertainties. The core contribution lies in a nonlinear disturbance observer, reconstructing the forces…

Systems and Control · Electrical Eng. & Systems 2024-03-29 Daniel Menges , Adil Rasheed

This work deals with the problem of designing observers for the estimation of a single function of the states for discrete-time nonlinear systems. Necessary and sufficient conditions for the existence of lower order functional observers…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Sunjeev Venkateswaran , Benjamin A. Wilhite , Costas Kravaris

This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance.…

Optimization and Control · Mathematics 2017-06-08 Hua-Cheng Zhou , George Weiss

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

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