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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…

最优化与控制 · 数学 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

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…

系统与控制 · 电气工程与系统科学 2025-12-22 Michael Ruderman

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…

最优化与控制 · 数学 2019-12-24 Mohammad Mahdi Share Pasand

The problem of estimating the initial state of 1-D wave equations with globally Lipschitz nonlinearities from boundary measurements on a finite interval was solved recently by using the sequence of forward and backward observers, and…

系统与控制 · 计算机科学 2016-02-25 Emilia Fridman , Maria Terushkin

We state sufficient conditions for the existence, on a given open set, of the extension, to nonlinear systems, of the Luenberger observer as it has been proposed by Kazantzis and Kravaris. We prove it is sufficient to choose the dimension…

最优化与控制 · 数学 2009-03-03 Vincent Andrieu , Laurent Praly

In this article, we investigate the problem of exponential stabilization via output feedback for a cascaded system composed of an ordinary differential equation (ODE) and a wave partial differential equation (PDE) under boundary control.…

最优化与控制 · 数学 2026-05-12 Zhan-Dong Mei , Lan-Xi Tang

This paper addresses the problem of nonlinear state estimation for dynamical systems whose governing equations are approximated through Koopman operator liftings. While Koopman-based predictors have demonstrated broad approximation…

系统与控制 · 电气工程与系统科学 2026-05-11 Syed Pouladi

We develop a novel multi-layer predictor-feedback to achieve exact compensation of state-dependent input delay of general nonlinear integro-differential equations. The system of interest is an unconventional mixed Partial Differential…

最优化与控制 · 数学 2026-04-09 Tong Li , Peipei Shang , Mamadou Diagne

The increasing use of data-driven control strategies gives rise to the problem of learning-based state observation. Motivated by this need, the present work proposes a data-driven approach for the synthesis of state observers for…

系统与控制 · 电气工程与系统科学 2025-09-26 Wentao Tang

This paper deals with the problem of robust fault estimation for the Lipschitz nonlinear systems under the influence of sensor faults and actuator faults. In the proposed methodology, a descriptor system is formulated by augmenting sensor…

系统与控制 · 电气工程与系统科学 2023-12-11 Shivaraj Mohite , Adil Sheikh , S. R. Wagh

This work proposes an interval observer design for nonlinear discrete-time systems based on the Kazantzis-Kravaris/Luenberger (KKL) paradigm. Our design extends to generic nonlinear systems without any assumption on the structure of its…

系统与控制 · 电气工程与系统科学 2024-04-30 Thach Ngoc Dinh , Gia Quoc Bao Tran

We propose an observer design for a cascaded system composed of an arbitrary nonlinear ordinary differential equation (ODE) with a 1D heat equation. The nonlinear output of the ODE imposes a boundary condition on one side of the heat…

最优化与控制 · 数学 2026-04-21 Adam Braun , Lucas Brivadis , Jean Auriol

This paper is devoted to the problem of designing functional observers for linear time-invariant (LTI) descriptor systems. The observers are realized by using state-space systems governed by ordinary differential equations (ODEs). Available…

最优化与控制 · 数学 2024-05-14 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

This paper focuses on observer based fault reconstruction for a class of nonlinear uncertain systems with Lipschitz nonlinearities. An adaptive-gain Super-Twisting (STW) observer is developed for observing the system states, where the…

最优化与控制 · 数学 2013-03-26 Jianxing Liu , Salah Laghrouche , Maxime Wack

This paper deals with the simultaneous estimation of the attitude, position and linear velocity for vision-aided inertial navigation systems. We propose a nonlinear observer on $SO(3)\times \mathbb{R}^{15}$ relying on body-frame…

最优化与控制 · 数学 2021-06-08 Miaomiao Wang , Soulaimane Berkane , Abdelhamid Tayebi

In this paper, we derive a boundary and an internal observability inequality for stochastic hyperbolic equations with nonsmooth lower order terms. The required inequalities are obtained by global Carleman estimate for stochastic hyperbolic…

最优化与控制 · 数学 2015-06-15 Qi Lu

In this paper, we study infinite dimensional stochastic systems having both unbounded control and observation operators. First of all, using a semigroup approach, we give another take of the well-posedness of such systems treated in [SIAM…

最优化与控制 · 数学 2021-05-31 Fatima-Zahra Lahbiri , Said Hadd

An exponential Luenberger dynamical observer is proposed to estimate the state of a general class of nonautonomous semilinear parabolic equations. The result can be applied to the case where the output is given by state measurements taken…

偏微分方程分析 · 数学 2022-12-06 Sérgio S. Rodrigues , Dagmawi A. Seifu

This article addresses the problem of state observer design for continuous-time linear positive networked systems. Considering the bandwidth constraint in the communication network, an event-measurement-based positive observer design is…

系统与控制 · 电气工程与系统科学 2025-08-06 Bhargavi Chaudhary , Krishanu Nath , Subashish Datta , Indra Narayan Kar

We design observer-based controllers to stabilise abstract linear boundary control systems on Hilbert spaces. Our main results introduce conditions for exponential, strong, and polynomial stability, and establish external well-posedness of…

最优化与控制 · 数学 2026-05-28 Mohamed Fkirine , Lassi Paunonen