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The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics of the underlying dynamics using measured time-domain data produced either by…

数值分析 · 数学 2020-11-24 Ion Victor Gosea , Igor Pontes Duff

In this paper we consider the joint problems of state estimation and model identification for a class of continuous-time nonlinear systems in output-feedback canonical form. An adaptive observer is proposed that combines an extended…

系统与控制 · 电气工程与系统科学 2020-12-01 Michelangelo Bin , Lorenzo Marconi

Stochastic contraction analysis is a recently developed tool for studying the global stability properties of nonlinear stochastic systems, based on a differential analysis of convergence in an appropriate metric. To date, stochastic…

最优化与控制 · 数学 2013-04-02 Quang-Cuong Pham , Jean-Jacques Slotine

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

In this paper we address the problem of state observation for sensorless control of nonlinear magnetic levitation systems, that is, the regulation of the position of a levitated object measuring only the voltage and current of the…

系统与控制 · 计算机科学 2017-11-09 Alexey Bobtsov , Anton Pyrkin , Romeo Ortega , Alexey Vedyakov

In this paper, the optimization-based alignment (OBA) methods are investigated with main focus on the vector observations construction procedures for the strapdown inertial navigation system (SINS). The contributions of this study are…

机器人学 · 计算机科学 2016-11-24 Lubin Chang , Jingshu Li , Kailong Li

The spacecraft attitude tracking problem is addressed with actuator faults and uncertainties among inertias, external disturbances, and, in particular, state estimates. A continuous sliding mode attitude controller is designed using…

系统与控制 · 电气工程与系统科学 2021-02-22 Haichao Gui

In this paper we are interested in the problem of state observation of state-affine nonlinear systems. Our main contribution is to propose a globally exponentially convergent observer that requires only the necessary assumption of…

系统与控制 · 电气工程与系统科学 2021-08-24 Lei Wang , Romeo Ortega , Alexei Bobtsov

This paper considers the problem of nonlinear attitude estimation for a rigid body system using intermittent and multi-rate inertial vector measurements as well as continuous (high-rate) angular velocity measurements. Two types of hybrid…

系统与控制 · 电气工程与系统科学 2024-01-09 Miaomiao Wang , Abdelhamid Tayebi

In this note, we study Luenberger-type full-state observers for nonlinear systems using contraction theory. We show that if the matrix measure of a suitably defined Jacobian matrix constructed from the dynamics of the system-observer…

系统与控制 · 计算机科学 2017-11-16 Samuel Coogan , Murat Arcak

Problem of an adaptive state observer design for nonlinear system with unknown time-varying parameters and under condition of delayed measurements is considered. State observation problem was raised by many researchers (see for example Sanx…

最优化与控制 · 数学 2022-11-17 Olga Kozachek , Alexey Bobtsov , Nikolay Nikolaev

The task of indoor positioning is fundamental to several applications, including navigation, healthcare, location-based services, and security. An emerging field is inertial navigation for pedestrians, which relies only on inertial sensors…

机器人学 · 计算机科学 2025-01-28 Itzik Klein

This work deals with the problem of designing disturbance decupled observers for the estimation of a function of the states in nonlinear systems. Necessary and sufficient conditions for the existence of lower order disturbance decoupled…

最优化与控制 · 数学 2023-07-19 Sunjeev Venkateswaran , Costas Kravaris

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

系统与控制 · 电气工程与系统科学 2019-08-13 Amit K. Sanyal

A novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

系统与控制 · 计算机科学 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

Rotating the clamped ends of a buckled elastica induces a snap-through instability. Predicting the limit point and determining the equilibria at the start and end of the snap are routine computations in the quasi-static setting. The…

软凝聚态物质 · 物理学 2025-09-29 Chiraprabha Bhattacharyya , Ramsharan Rangarajan

Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer for this class of systems is proposed with arbitrary gain…

最优化与控制 · 数学 2023-08-16 Alexander Zuyev , Julia Kalosha

A high-gain extended observer is designed for a class of nonlinear uncertain systems. This observer has the ability of estimating system uncertainty, and it can be used to estimate the derivatives of signal up to order n. The controller…

系统与控制 · 电气工程与系统科学 2023-02-13 Xinhua Wang , Zengqiang Chen , Zhuzhi Yuan

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

Correcting gradual position drift is a challenge in long-term subsea navigation. Though highly accurate, modern inertial navigation system (INS) estimates will drift over time due to the accumulated effects of sensor noise and biases, even…

机器人学 · 计算机科学 2023-07-12 Amro Al-Baali , Thomas Hitchcox , James Richard Forbes