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This paper proposes a simple interval observer which can generate tighter interval estimates of variables in transient states than the standard interval observer. The simple nonlinear dynamics shrinks the estimated intervals to true state…

Optimization and Control · Mathematics 2020-04-03 Hiroshi Ito

This paper proposes a novel distributed interval observer design for linear time-invariant (LTI) discrete-time systems subject to bounded disturbances. In the proposed observer algorithm, each agent in a networked group exchanges…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Mohammad Khajenejad , Scott Brown , Sonia Martinez

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

Optimization and Control · Mathematics 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

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…

Optimization and Control · Mathematics 2009-03-03 Vincent Andrieu , Laurent Praly

We provide a systematic interval observer design method for detectable linear time-invariant (LTI) systems, where a part of the state is observable from the measured output. An observability-based invertible LTI transformation decomposes…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Gia Quoc Bao Tran , Thach Ngoc Dinh , Zhenhua Wang

This paper addresses the problem of resilient state estimation and attack reconstruction for bounded-error nonlinear discrete-time systems with nonlinear observations/ constraints, where both sensors and actuators can be compromised by…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Mohammad Khajenejad , Zeyuan Jin , Thach Ngoc Dinh , Sze Zheng Yong

The paper deals with the observer design problem for a wide class of triangular time-varying nonlinear systems, with unobservable linearization. Sufficient conditions are derived for the existence of a Luenberger-type observer, when it is a…

Optimization and Control · Mathematics 2012-04-17 D. Boskos , J. Tsinias

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…

Systems and Control · Computer Science 2012-05-22 Kilani Ilhem , Jabri Dalel , Bel Hadj Ali Saloua , Abdelkrim Mohamed Naceur

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…

Systems and Control · Computer Science 2013-02-26 Masoud Abbaszadeh , Horacio J. Marquez

The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel

In this paper, we propose fixed-order set-valued (in the form of l2-norm hyperballs) observers for some classes of nonlinear bounded-error dynamical systems with unknown input signals that simultaneously find bounded hyperballs of states…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Mohammad Khajenejad , Sze Zheng Yong

A simultaneous input and state interval observer is presented for Lipschitz continuous nonlinear systems with unknown inputs and bounded noise signals for the case when the direct feedthrough matrix has full column rank. The observer…

Systems and Control · Electrical Eng. & Systems 2020-02-13 Mohammad Khajenejad , Sze Zheng Yong

This paper proposes a design methodology for non-linear state observers for invariant kinematic systems posed on finite dimensional connected Lie groups, and studies the associated fundamental system structure. The concept of synchrony of…

Optimization and Control · Mathematics 2008-05-08 C. Lageman , J. Trumpf , R. Mahony

This paper develops a data-driven safe control framework for nonlinear discrete-time systems with parametric uncertainty and additive disturbances. The proposed approach constructs a data-consistent closed-loop representation that enables…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Amir Modares , Bahare Kiumarsi , Hamidreza Modares

This paper addresses the synthesis of interval observers for partially unknown nonlinear systems subject to bounded noise, aiming to simultaneously estimate system states and learn a model of the unknown dynamics. Our approach leverages…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Mohammad Khajenejad , Zeyuan Jin

Sufficient conditions for the design of a simple class of interval observers for linear impulsive systems subject to minimum and range dwell-time constraints are obtained and formulated in terms of infinite-dimensional linear programs. The…

Optimization and Control · Mathematics 2017-03-30 Corentin Briat , Mustafa Khammash

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…

Systems and Control · Computer Science 2010-10-06 Masoud Abbaszadeh , Horacio J. Marquez

This paper proposes a linear input-output observer design methodology for a population of systems in which each observer uses knowledge of the linear time-invariant dynamics of the particular device. Observers are typically composed of a…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Timothy Everett Adams , James Richard Forbes

In this paper we propose a framework to analyze iterative first-order optimization algorithms for time-varying convex optimization. We assume that the temporal variability is caused by a time-varying parameter entering the objective, which…

Optimization and Control · Mathematics 2026-03-05 Fabian Jakob , Andrea Iannelli

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…

Optimization and Control · Mathematics 2021-06-08 Miaomiao Wang , Soulaimane Berkane , Abdelhamid Tayebi