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This paper proposes an Extended-Kalman-Filter-like observer for parameter estimation during synchronization of chaotic systems. The exponential stability of the observer is guaranteed by a persistent excitation condition. This approach is…

Chaotic Dynamics · Physics 2017-06-21 L. Torres

Positive systems are important class of dynamic systems with impressive properties. The response of such systems to positive initial conditions and positive inputs remain in the nonnegative orthant of the state space. Although positive…

Systems and Control · Computer Science 2015-08-05 Sam Nazari , Bahram Shafai , Amirreza Oghbaee

In the present paper, we study observer design and we establish some sufficient conditions for practical exponential stability for a class of time-delay nonlinear systems written in triangular form. In case of delay, the exponential…

Analysis of PDEs · Mathematics 2018-09-20 Nadhem Echi

In this paper, a model reference adaptive control architecture is proposed for uncertain nonlinear systems to achieve prescribed performance guarantees. Specifically, a general nonlinear reference model system is considered that captures an…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Ehsan Arabi , Kunal Garg , Dimitra Panagou

A high-gain observer is used for a class of feedback linearisable nonlinear systems to synthesize safety-preserving controllers over the observer output. A bound on the distance between trajectories under state and output feedback is…

Systems and Control · Computer Science 2016-03-23 Kendra Lesser , Alessandro Abate

Dynamical systems, for instance in model predictive control, often contain unknown parameters, which must be determined during system operation. Online or on-the-fly parameter identification methods are therefore necessary. The challenge of…

Optimization and Control · Mathematics 2021-04-05 Barbara Kaltenbacher , Tram Thi Ngoc Nguyen

The theory of Kazantzis-Kravaris/Luenberger (KKL) observer design introduces a methodology that uses a nonlinear transformation map and its left inverse to estimate the state of a nonlinear system through the introduction of a linear…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Lukas Trommer , Halil Yigit Oksuz

We study the problem of designing interval-valued observers that simultaneously estimate the system state and learn an unknown dynamic model for partially unknown nonlinear systems with dynamic unknown inputs and bounded noise signals.…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Mohammad Khajenejad , Zeyuan Jin , Sze Zheng Yong

A method of designing observers and observer-based tracking controllers is proposed for nonlinear systems on manifolds via embedding into Euclidean space and transversal stabilization. Given a system on a manifold, we first embed the…

Optimization and Control · Mathematics 2018-06-19 Dong Eui Chang

A simply structured distributed observer is described for estimating the state of a continuous-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Lili Wang , Ji Liu , A. Stephen Morse

This paper studies the immersion and invariance (I&I) adaptive tracking problem for a class of nonlinear systems with nonlinear parameterization in the ISS framework. Under some mild assumptions, a novel I&I adaptive control algorithm is…

Optimization and Control · Mathematics 2021-03-01 Lei Wang , Christopher M. Kellett

In various applications in the field of control engineering the estimation of the state variables of dynamic systems in the presence of unknown inputs plays an important role. Existing methods require the so-called observer matching…

Systems and Control · Electrical Eng. & Systems 2022-04-08 Helmut Niederwieser , Markus Tranninger , Richard Seeber , Markus Reichhartinger

In this paper, a concurrent learning based adaptive observer is developed for a class of second-order nonlinear time-invariant systems with uncertain dynamics. The developed technique results in simultaneous online state and parameter…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Rushikesh Kamalapurkar

In this paper, we consider the problem of designing an asymptotic observer for a nonlin-ear dynamical system in discrete-time following Luenberger's original idea. This approach is a two-step design procedure. In a first step, the problem…

Optimization and Control · Mathematics 2020-02-10 Lucas Brivadis , Vincent Andrieu , Ulysse Serres

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…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Luigi Romano , Ole Morten Aamo , Miroslav Krstić , Jan Åslund , Erik Frisk

There is a growing interest in data-driven control of nonlinear systems over the last years. In contrast to related works, this paper takes a step back and aims to solve the output matching problem, a problem closely related to the…

Optimization and Control · Mathematics 2023-02-27 Leander Hemelhof , Ivan Markovsky , Panagiotis Patrinos

We review typical design problems encountered in the planning of observational studies and propose a unifying framework that allows us to use the same concepts and notation for different problems. In the framework, the design is defined as…

Statistics Theory · Mathematics 2017-11-02 Juha Karvanen , Jarno Vanhatalo , Kari Auranen , Sangita Kulathinal , Samu Mäntyniemi

A continuous adaptive control design is developed for nonlinear dynamical systems with linearly parameterizable uncertainty involving time-varying uncertain parameters. The key feature of this design is a robust integral of the sign of the…

Systems and Control · Electrical Eng. & Systems 2020-07-24 Omkar Sudhir Patil , Runhan Sun , Shubhendu Bhasin , Warren E. Dixon

This paper presents a first step towards tuning observers for general nonlinear systems. Relying on recent results around Kazantzis-Kravaris/Luenberger (KKL) observers, we propose an empirical criterion to guide the calibration of the…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Mona Buisson-Fenet , Lukas Bahr , Valery Morgenthaler , Florent Di Meglio

Convergent, contractive or incremental stability properties of nonlinear systems have attracted interest for control tasks such as observer design, output regulation and synchronization. The convergence property plays a central role in the…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Jiayen Chen , Hendra I. Nurdin