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In this paper it is showed that if a time-varying uncertain system is robustly completely detectable then there exists an estimator for this system, i.e. we can estimate asymptotically the state vector of the system. Moreover, if a…

Optimization and Control · Mathematics 2007-05-23 Iasson Karafyllis , Costas Kravaris

This paper presents a convex optimization-based framework for synthesizing time-varying controlled invariant funnels and associated feedback control around a given nominal trajectory for nonlinear systems subject to bounded disturbances.…

Optimization and Control · Mathematics 2025-11-13 Taewan Kim , Dayou Luo , Behçet Açıkmeşe

We address the problem of designing an observer for triangular non locally Lipschitz dynamical systems. We show the convergence with an arbitrary small error of the classical high gain observer in presence of nonlinearities verifying some…

Optimization and Control · Mathematics 2019-04-30 Pauline Bernard , Laurent Praly , Vincent Andrieu

This paper presents a framework on minimal-order appointed-time unknown input observers for linear systems based on the pairwise observer structure. A minimal-order appointed-time observer is first proposed for the linear system without the…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Yuezu Lv , Zhongkui Li , Zhisheng Duan

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

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

This paper studies the problem of distributed state estimation of linear time-invariant (LTI) systems under event-triggered communication. For event-triggering mechanisms, the existence of positive minimum inter-event times (MIETs) is an…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Yiyang Liu , Xianwei Li , Shaoyuan Li

We provide a solution to the heretofore open problem of stabilization of systems with arbitrarily long delays at the input and output of a nonlinear system using output feedback only. The solution is global, employs the predictor approach…

Optimization and Control · Mathematics 2013-08-15 Iasson Karafyllis , Miroslav Krstic

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…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

An interpolation method for discretising continuous-time Linear Time Invariant (LTI) models is proposed in this paper. It consists first in using the Loewner interpolation framework on a specific set of frequency data and secondly to…

Systems and Control · Electrical Eng. & Systems 2019-07-26 Pierre Vuillemin , Charles Poussot-Vassal

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…

Optimization and Control · Mathematics 2017-03-23 Shankar Mohan , Jinsun Liu , Ram Vasudevan

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

Numerous state-feedback and observer designs for nonlinear dynamic systems (NDS) have been developed in the past three decades. These designs assume that NDS nonlinearities satisfy one of the following function set classifications: bounded…

Systems and Control · Electrical Eng. & Systems 2022-05-05 Sebastian A. Nugroho , Ahmad F. Taha , and Vu Hoang

This paper proposes a novel learning approach for designing Kazantzis-Kravaris/Luenberger (KKL) observers for autonomous nonlinear systems. The design of a KKL observer involves finding an injective map that transforms the system state into…

Systems and Control · Electrical Eng. & Systems 2025-11-26 M. Umar B. Niazi , John Cao , Matthieu Barreau , Karl Henrik Johansson

A geometric generalization of discrete-time linear deadbeat observer is presented. The proposed method to generate a deadbeat observer for a given nonlinear system is constructive and makes use of sets that can be computed iteratively. For…

Dynamical Systems · Mathematics 2011-04-29 S. Emre Tuna

In this paper, we design nonlinear state feedback controllers for discrete-time polynomial dynamical systems via the occupation measure approach. We propose the discrete-time controlled Liouville equation, and use it to formulate the…

Systems and Control · Computer Science 2018-07-27 Weiqiao Han , Russ Tedrake

This paper considers the problem of simultaneous estimation of the attitude, position and linear velocity for vehicles navigating in a three-dimensional space. We propose two types of hybrid nonlinear observers using continuous angular…

Optimization and Control · Mathematics 2020-07-22 Miaomiao Wang , Abdelhamid Tayebi

This work provides a framework for data-driven control of discrete time systems with unknown input-output dynamics and outputs controllable by the inputs. This framework leads to stable and robust real-time control of the system such that a…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Amit K. Sanyal

For an autonomous linear time-invariant (LTI) system, a distributed observer with time-triggered periodic observations and event-triggered communication is proposed to estimate the state of the system. It is shown that the sampling period…

Systems and Control · Electrical Eng. & Systems 2023-05-08 Shimin Wang , Zhan Shu , Tongwen Chen

This paper presents a joint synthesis algorithm of trajectory and controlled invariant funnel (CIF) for locally Lipschitz nonlinear systems subject to bounded disturbances. The CIF synthesis refers to a procedure of computing controlled…

Optimization and Control · Mathematics 2024-01-17 Taewan Kim , Purnanand Elango , Behcet Acikmese
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