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The dissipativity framework is widely used to analyze stability and performance of nonlinear systems. By embedding nonlinear systems in an LPV representation, the convex tools of the LPV framework can be applied to nonlinear systems for…

系统与控制 · 电气工程与系统科学 2021-09-21 Patrick J. W. Koelewijn , Roland Tóth

Linear Parameter-Varying (LPV) systems with piecewise differentiable parameters is a class of LPV systems for which no proper analysis conditions have been obtained so far. To fill this gap, we propose an approach based on the theory of…

最优化与控制 · 数学 2017-03-14 Corentin Briat , Mustafa Khammash

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is…

最优化与控制 · 数学 2021-08-10 Sina Ameli , Olugbenga Moses Anubi

Accurate state estimation requires careful consideration of uncertainty surrounding the process and measurement models; these characteristics are usually not well-known and need an experienced designer to select the covariance matrices. An…

机器学习 · 统计学 2025-07-18 Pardha Sai Krishna Ala , Ameya Salvi , Venkat Krovi , Matthias Schmid

We consider the problem of estimating missing values in trajectories of linear parameter-varying (LPV) systems. We solve this interpolation problem for the class of shifted-affine LPV systems. Conditions for the existence and uniqueness of…

系统与控制 · 电气工程与系统科学 2025-10-21 Chris Verhoek , Ivan Markovsky , Roland Tóth

Here we revisit the classic problem of linear quadratic estimation, i.e. estimating the trajectory of a linear dynamical system from noisy measurements. The celebrated Kalman filter gives an optimal estimator when the measurement noise is…

机器学习 · 统计学 2021-11-12 Sitan Chen , Frederic Koehler , Ankur Moitra , Morris Yau

Unmanned vehicle navigation concerns estimating attitude, position, and linear velocity of the vehicle the six degrees of freedom (6 DoF). It has been known that the true navigation dynamics are highly nonlinear modeled on the Lie Group of…

系统与控制 · 电气工程与系统科学 2021-09-20 Ajay Singh Ludher , Marium Tawhid , Hashim A. Hashim

Distributed sensor networks often include a multitude of sensors, each measuring parts of a process state space or observing the operations of a system. Communication of measurements between the sensor nodes and estimator(s) cannot…

系统与控制 · 电气工程与系统科学 2023-05-02 Sanjay Chandrasekaran , Vishnu Varadan , Siva Vignesh Krishnan , Florian Dörfler , Mohammad H. Mamduhi

The problem of behaviour prediction for linear parameter-varying systems is considered in the interval framework. It is assumed that the system is subject to uncertain inputs and the vector of scheduling parameters is unmeasurable, but all…

系统与控制 · 计算机科学 2019-08-13 Edouard Leurent , Denis Efimov , Tarek Raïssi , Wilfrid Perruquetti

We consider a non-linear filtering problem, whereby the signal obeys the stochastic Navier-Stokes equations and is observed through a linear mapping with additive noise. The setup is relevant to data assimilation for numerical weather…

统计计算 · 统计学 2018-04-10 Francesc Pons Llopis , Nikolas Kantas , Alexandros Beskos , Ajay Jasra

This paper addresses the problem of robust fault detection filtering for linear time-varying (LTV) systems with non-Gaussian noise and additive faults. The conventional generalized likelihood ratio (GLR) method utilizes the Kalman filter,…

最优化与控制 · 数学 2025-04-25 Zhemeng Zhang , Yifei Nie , Le Yin

The problem of local damage diagnosis (based on the detection of impulsive and periodic signals) is discussed. Both features should be checked, as fault frequency must be linked to the true value calculated for a given machine and speed.…

信号处理 · 电气工程与系统科学 2024-09-26 Daniel Kuzio , Radosław Zimroz , Agnieszka Wyłomańska

Signal estimation from incomplete observations improves as more signal structure can be exploited in the inference process. Classic algorithms (e.g., Kalman filtering) have exploited strong dynamic structure for time-varying signals while…

统计理论 · 数学 2015-07-23 Adam S. Charles , Christopher J. Rozell

We are experiencing an explosion in the amount of sensors measuring our activities and the world around us. These sensors are spread throughout the built environment and can help us perform state estimation and control of related systems,…

系统与控制 · 计算机科学 2018-02-06 Matthew A. Wright , Roberto Horowitz

This paper proposes a novel fault detection and isolation (FDI) scheme for distributed parameter systems modeled by a class of parabolic partial differential equations (PDEs) with nonlinear uncertain dynamics. A key feature of the proposed…

系统与控制 · 电气工程与系统科学 2022-03-31 Jingting Zhang , Chengzhi Yuan , Wei Zeng , Cong Wang

In this paper, a systematic approach is developed to embed the dynamical description of a nonlinear system into a linear parameter-varying (LPV) system representation. Initially, the nonlinear functions in the model representation are…

系统与控制 · 电气工程与系统科学 2020-11-09 Arash Sadeghzadeh , Roland Toth

In this paper we propose a method to estimate the initial state of a linear dynamical system with noisy observation. The method allows the user to have estimations in real time, that is, to have a new estimation for each new observation.…

最优化与控制 · 数学 2021-05-06 Rocío Díaz Martín , Ivan Medri , Juliana Osorio

This paper is dedicated to control theoretically explainable application of autoencoders to optimal fault detection in nonlinear dynamic systems. Autoencoder-based learning is a standard machine learning method and widely applied for fault…

系统与控制 · 电气工程与系统科学 2023-05-17 Linlin Li , Steven X. Ding , Ketian Liang , Zhiwen Chen , Ting Xue

In this technical note, we prove that the ODEFTC algorithm constitutes the first optimal distributed state estimator for continuous-time linear time-varying systems subject to stochastic disturbances. Particularly, we formally show that it…

最优化与控制 · 数学 2025-10-22 Irene Perez-Salesa , Rodrigo Aldana-Lopez , Carlos Sagues

A variety of algorithms have been proposed to address the power system state estimation problem in the presence of uncertainties in the data. However, less emphasis has been given to handling perturbations in the model. In the context of…

系统与控制 · 电气工程与系统科学 2025-10-21 Ayan Das , Anushka Sharma , Anamitra Pal