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Control and state estimation of nonlinear systems satisfying a Lipschitz continuity condition have been important topics in nonlinear system theory for over three decades, resulting in a substantial amount of literature. The main criticism…

系统与控制 · 计算机科学 2013-02-26 Masoud Abbaszadeh , Horacio J. Marquez

We study state estimation for nonlinear differential-algebraic systems, where the nonlinearity satisfies a Lipschitz condition or a generalized monotonicity condition or a combination of these. The presented observer design unifies earlier…

最优化与控制 · 数学 2019-10-10 Thomas Berger , Lukas Lanza

This paper investigates the output feedback stabilization of parabolic equation with Lipschitz nonlinearity over general multidimensional domain using spectral geometry theories. First, a novel nonlinear observer is designed, and the error…

最优化与控制 · 数学 2026-01-21 Kai Liu , Hua-Cheng Zhou , Zhong-Jie Han , Xiangyang Peng

An adaptive state observer is proposed for a class of overparametrized uncertain linear time-invariant systems without restrictive requirement of their representation in the observer canonical form. It evolves the method of generalized…

系统与控制 · 电气工程与系统科学 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

Although an appropriate choice of measured state variables may ensure observability, designing state observers for the state estimation of epidemic models remains a challenging task. Epidemic spread is a nonlinear process, often modeled as…

最优化与控制 · 数学 2022-07-26 Muhammad Umar B. Niazi , Karl Henrik Johansson

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…

系统与控制 · 电气工程与系统科学 2026-02-10 Luigi Romano , Ole Morten Aamo , Miroslav Krstić , Jan Åslund , Erik Frisk

The problem of unknown input observer design is considered for coupled PDE/ODE systems subject to incremental sector bounded nonlinearities and unknown boundary inputs. Assuming available measurements at the boundary of the distributed…

最优化与控制 · 数学 2022-12-01 Andrea Cristofaro , Francesco Ferrante

Observer design typically requires the observability of the underlying system, which may be hard to verify for nonlinear systems, while guaranteeing asymptotic convergence of errors, which may be insufficient in order to satisfy performance…

最优化与控制 · 数学 2017-03-23 Shankar Mohan , Jinsun Liu , Ram Vasudevan

We consider a class of uncertain linear time-invariant overparametrized systems affected by bounded disturbances, which are described by a known exosystem with unknown initial conditions. For such systems an exponentially stable extended…

系统与控制 · 电气工程与系统科学 2024-02-14 Anton Glushchenko , Konstantin Lastochkin

Traditional observer design methods rely on certain properties of the system's nonlinearity, such as Lipschitz continuity, one-sided Lipschitzness, a bounded Jacobian, or quadratic boundedness. These properties are described by…

系统与控制 · 电气工程与系统科学 2023-04-10 Muhammad Umar B. Niazi , Karl H. Johansson

The present work provides a systematic approach for the design of sampled-data observers to a wide class of 1-D, parabolic PDEs with non-local outputs. The studied class of parabolic PDEs allows the presence of globally Lipschitz nonlinear…

最优化与控制 · 数学 2024-12-20 Iasson Karafyllis , Tarek Ahmed-Ali , Fouad Giri

This paper investigates the design problem of observers for nonlinear descriptor systems described by Takagi-Sugeno (TS) system; Depending on the available knowledge on the premise variables two cases are considered. First a TS descriptor…

系统与控制 · 计算机科学 2012-05-22 Kilani Ilhem , Jabri Dalel , Bel Hadj Ali Saloua , Abdelkrim Mohamed Naceur

The problem of finite/fixed-time cooperative state estimation is considered for a class of quasilinear systems with nonlinearities satisfying a H\"older condition. A strongly connected nonlinear distributed observer is designed under the…

最优化与控制 · 数学 2024-07-09 Min Li , Andrey Polyakov , Siyuan Wang , Gang Zheng

A symmetry-preserving, reduced-order state observer is presented for the unmeasured part of a system's state, where the nonlinear system dynamics exhibit symmetry under the action of a Lie group. Leveraging this symmetry with a moving…

系统与控制 · 电气工程与系统科学 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

We study global finite-dimensional observer-based stabilization of a semilinear 1D heat equation with globally Lipschitz semilinearity in the state variable. We consider Neumann actuation and point measurement. Using dynamic extension and…

最优化与控制 · 数学 2021-12-30 Rami Katz , Emilia Fridman

The Koopman operator approach to the state estimation problem for nonlinear systems is a promising research area. The main goal of this paper is an attempt to provide a rigorous theoretical framework for this approach. In particular, the…

最优化与控制 · 数学 2025-03-12 Judicaël Mohet , Alexandre Mauroy , Joseph J. Winkin

In this paper we propose a new observer design technique for nonlinear systems. It combines the well-known Kazantzis-Kravaris-Luenberger observer and the recently introduced parameter estimation-based observer, which become special cases of…

系统与控制 · 计算机科学 2018-07-12 Bowen Yi , Romeo Ortega , Weidong Zhang

In this paper, a new method of H_infinity observer design for Lipschitz nonlinear systems is proposed in the form of an LMI optimization problem. The proposed observer has guaranteed decay rate (exponential convergence) and is robust…

系统与控制 · 计算机科学 2010-10-06 Masoud Abbaszadeh , Horacio J. Marquez

In this work, the problem of designing observers for estimating a single nonlinear functional of the state is formulated for general nonlinear systems. Notions of functional observer linearization are also formulated, in terms achieving…

系统与控制 · 电气工程与系统科学 2021-09-15 Costas Kravaris , Sunjeev Venkateswaran

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…

系统与控制 · 电气工程与系统科学 2020-09-04 Hongyinping Feng , Xiao-Hui Wu , Bao-Zhu Guo
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