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We develop a new approximation theory for linear and quadratic interpolation models, suitable for use in convex-constrained derivative-free optimization (DFO). Most existing model-based DFO methods for constrained problems assume the…

最优化与控制 · 数学 2024-03-25 Lindon Roberts

How to efficiently identify multiple-input multiple-output (MIMO) linear parameter-varying (LPV) discrete-time state-space (SS) models with affine dependence on the scheduling variable still remains an open question, as identification…

系统与控制 · 计算机科学 2020-05-11 Pepijn B. Cox , Roland Tóth , Mihály Petreczky

In this paper, we present a new parametrization to perform direct data-driven analysis and controller synthesis for the error-in-variables case. To achieve this, we employ the Sherman-Morrison-Woodbury formula to transform the problem into…

系统与控制 · 电气工程与系统科学 2025-04-14 Felix Brändle , Frank Allgöwer

In this paper, we apply the recently developed generalized parameter estimation-based observer design technique for state-affine systems to the practically important case of linear time-varying descriptor systems with uncertain parameters.…

系统与控制 · 电气工程与系统科学 2024-07-22 Romeo Ortega , Alexey Bobtsov , Fernando Castanos , Nikolay Nikolaev

Dynamic Mode Decomposition (DMD) is a data-driven technique to identify a low dimensional linear time invariant dynamics underlying high-dimensional data. For systems in which such underlying low-dimensional dynamics is time-varying, a…

信号处理 · 电气工程与系统科学 2020-04-09 Mustaffa Alfatlawi , Vaibhav Srivastava

Lagrangian trajectory or particle dispersion models as well as semi-Lagrangian advection schemes require meteorological data such as wind, temperature and geopotential at the exact spatio-temporal locations of the particles that move…

大气与海洋物理 · 物理学 2022-06-09 Rüdiger Brecht , Lucie Bakels , Alex Bihlo , Andreas Stohl

We present an approach that uses a deep learning model, in particular, a MultiLayer Perceptron (MLP), for estimating the missing values of a variable in multivariate time series data. We focus on filling a long continuous gap (e.g.,…

The common approaches to construct a data-driven linear power flow (DD-LPF) model cannot completely eliminate the adverse impacts of outliers in a training dataset. In this letter, a novel outlier-immune DD-LPF model construction method via…

系统与控制 · 电气工程与系统科学 2023-12-27 Guoan Yan , Zhengshuo Li

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…

最优化与控制 · 数学 2017-03-30 Corentin Briat , Mustafa Khammash

We formulate a Kalman-style realization theory for discrete-time affine LPV systems. By an affine LPV system we mean an LPV system whose matrices are affine functions of the scheduling parameter. In this paper we characterize those…

最优化与控制 · 数学 2013-10-01 Mihaly Petreczky , Guillaume Mercère , Roland Tóth

The problem of inverting a system in presence of a series-defined output is analyzed. Inverse models are derived that consist of a set of algebraic equations. The inversion is performed explicitly for an output trajectory functional, which…

系统与控制 · 计算机科学 2012-11-27 Jean-Francois Stumper , Ralph Kennel

In this brief paper, we propose a time-domain data-driven method for model order reduction by two-sided moment matching for linear systems. An algorithm that asymptotically approximates the matrix product $\Upsilon \Pi$ from time-domain…

系统与控制 · 电气工程与系统科学 2022-12-19 Junyu Mao , Giordano Scarciotti

This paper presents a general description of a parameter estimation inverse problem for systems governed by nonlinear differential equations. The inverse problem is presented using optimal control tools with state constraints, where the…

数值分析 · 数学 2018-06-28 Mohamed Kamel Riahi , Issam Al Qattan

This paper deals with the problem of on-line identification of the parameters of a realistic dynamical model of a photovoltaic array connected to a power system through a power converter. It has been shown in the literature that, when…

系统与控制 · 电气工程与系统科学 2022-09-16 Alexey Bobtsov , Fernando Mancilla-David , Stanislav Aranovskiy , Romeo Ortega

In control design most control strategies are model-based and require accurate models to be applied successfully. Due to simplifications and the model-reality-gap physics-derived models frequently exhibit deviations from real-world-systems.…

最优化与控制 · 数学 2022-08-09 Ricarda-Samantha Götte , Julia Timmermann

In this paper, we consider the learning of a Reduced-Order Linear Parameter-Varying Model (ROLPVM) of a nonlinear dynamical system based on data. This is achieved by a two-step procedure. In the first step, we learn a projection to a lower…

系统与控制 · 电气工程与系统科学 2024-05-21 Patrick J. W. Koelewijn , Rajiv Sing , Peter Seiler , Roland Tóth

In this paper, we present a data-driven distributed model predictive control (MPC) scheme to stabilise the origin of dynamically coupled discrete-time linear systems subject to decoupled input constraints. The local optimisation problems…

系统与控制 · 电气工程与系统科学 2023-08-14 Matthias Köhler , Julian Berberich , Matthias A. Müller , Frank Allgöwer

The Linear Parameter Varying Dynamical System (LPV-DS) is an effective approach that learns stable, time-invariant motion policies using statistical modeling and semi-definite optimization to encode complex motions for reactive robot…

机器人学 · 计算机科学 2024-03-26 Sunan Sun , Haihui Gao , Tianyu Li , Nadia Figueroa

In this paper, we present an approach to identify linear parameter-varying (LPV) systems with a state-space (SS) model structure in an innovation form where the coefficient functions have static and affine dependency on the scheduling…

系统与控制 · 计算机科学 2020-09-10 Pepijn B. Cox , Roland Tóth

We consider the problem of identifying a dissipative linear model of an unknown nonlinear system that is known to be dissipative, from time domain input-output data. We first learn an approximate linear model of the nonlinear system using…

系统与控制 · 电气工程与系统科学 2019-07-31 S. Sivaranjani , Etika Agarwal , Vijay Gupta