Matches in SemOpenAlex for { <https://semopenalex.org/work/W2119596976> ?p ?o ?g. }
- W2119596976 abstract "Differential-algebraic equations (DAEs) form the natural way in which models of physical systems are delivered from an object-oriented modeling tool like Modelica. Differential-algebraic equations are also known as descriptor systems, singular systems, and implicit systems. If some constant parameters in such models are unknown, one might need to estimate them from measured data from the modeled system. This is a form of system identification called gray box identification. It may also be of interest to estimate the value of time-varying variables in the model. This is often referred to as state estimation. The objective of this work is to examine how gray box identification and estimation of time-varying variables can be performed for models described by differential-algebraic equations. If a model has external stimuli that are not measured or uncertain measurements, it is often appropriate to model this as stochastic processes. This is called noise modeling. Noise modeling is an important part of system identification and state estimation, so we examine how well-posedness of noise models for differential-algebraic equations can be characterized. For well-posed models, we then discuss how particle filters can be implemented for estimation of time-varying variables. We also discuss how constant parameters can be estimated. When estimating time-varying variables, it is of interest to examine if the problem is observable, that is, if it has a unique solution. The corresponding property when estimating constant parameters is identifiability. In this thesis, we discuss how observability and identifiability can be determined for DAEs. We propose three approaches, where one can be seen as an extension of standard methods for state-space systems based on rank tests. For linear DAEs, a more detailed analysis is performed. We use some well-known canonical forms to examine well-posedness of noise models and to implement estimation of time-varying variables and constant parameters. This includes formulation of Kalman filters for linear DAE models. To be able to implement the suggested methods, we show how the canonical forms can be computed using numerical software from the linear algebra package LAPACK." @default.
- W2119596976 created "2016-06-24" @default.
- W2119596976 creator A5057223521 @default.
- W2119596976 date "2006-01-01" @default.
- W2119596976 modified "2023-09-29" @default.
- W2119596976 title "Identification and Estimation for Models Described by Differential-Algebraic Equations" @default.
- W2119596976 cites W117774965 @default.
- W2119596976 cites W118183761 @default.
- W2119596976 cites W126241434 @default.
- W2119596976 cites W1480928214 @default.
- W2119596976 cites W1483307070 @default.
- W2119596976 cites W1494908267 @default.
- W2119596976 cites W1499219562 @default.
- W2119596976 cites W1504469534 @default.
- W2119596976 cites W1509783656 @default.
- W2119596976 cites W1510461155 @default.
- W2119596976 cites W1513008779 @default.
- W2119596976 cites W1515361063 @default.
- W2119596976 cites W1515398288 @default.
- W2119596976 cites W1515569264 @default.
- W2119596976 cites W1517125074 @default.
- W2119596976 cites W151868298 @default.
- W2119596976 cites W1520611854 @default.
- W2119596976 cites W1522512418 @default.
- W2119596976 cites W1532053164 @default.
- W2119596976 cites W1535651326 @default.
- W2119596976 cites W1536997931 @default.
- W2119596976 cites W1539802518 @default.
- W2119596976 cites W1540185792 @default.
- W2119596976 cites W155156393 @default.
- W2119596976 cites W1555104280 @default.
- W2119596976 cites W1557146760 @default.
- W2119596976 cites W1566267368 @default.
- W2119596976 cites W1569358535 @default.
- W2119596976 cites W1571538529 @default.
- W2119596976 cites W1573435395 @default.
- W2119596976 cites W1602753687 @default.
- W2119596976 cites W1605290138 @default.
- W2119596976 cites W166135387 @default.
- W2119596976 cites W1964373008 @default.
- W2119596976 cites W1965324089 @default.
- W2119596976 cites W1980044969 @default.
- W2119596976 cites W1981364618 @default.
- W2119596976 cites W1983438352 @default.
- W2119596976 cites W1984942117 @default.
- W2119596976 cites W1988216989 @default.
- W2119596976 cites W1994252836 @default.
- W2119596976 cites W1996058353 @default.
- W2119596976 cites W1997579381 @default.
- W2119596976 cites W2004151439 @default.
- W2119596976 cites W2014011926 @default.
- W2119596976 cites W2014537834 @default.
- W2119596976 cites W2014851661 @default.
- W2119596976 cites W2019470166 @default.
- W2119596976 cites W2020004434 @default.
- W2119596976 cites W2022907087 @default.
- W2119596976 cites W2026333621 @default.
- W2119596976 cites W2029018540 @default.
- W2119596976 cites W2043516901 @default.
- W2119596976 cites W2046517932 @default.
- W2119596976 cites W2054134484 @default.
- W2119596976 cites W2060886740 @default.
- W2119596976 cites W2064362425 @default.
- W2119596976 cites W2071723512 @default.
- W2119596976 cites W2072433108 @default.
- W2119596976 cites W2072667966 @default.
- W2119596976 cites W2075151302 @default.
- W2119596976 cites W2075608909 @default.
- W2119596976 cites W2081727334 @default.
- W2119596976 cites W2082034347 @default.
- W2119596976 cites W2085849252 @default.
- W2119596976 cites W2090067698 @default.
- W2119596976 cites W2098313837 @default.
- W2119596976 cites W2098613108 @default.
- W2119596976 cites W2100134099 @default.
- W2119596976 cites W2104265286 @default.
- W2119596976 cites W2104794175 @default.
- W2119596976 cites W2105934661 @default.
- W2119596976 cites W2115299644 @default.
- W2119596976 cites W211731891 @default.
- W2119596976 cites W2122512809 @default.
- W2119596976 cites W2128519721 @default.
- W2119596976 cites W2128978199 @default.
- W2119596976 cites W2133404041 @default.
- W2119596976 cites W2140566248 @default.
- W2119596976 cites W2140998418 @default.
- W2119596976 cites W2142295372 @default.
- W2119596976 cites W214771883 @default.
- W2119596976 cites W2148311596 @default.
- W2119596976 cites W2149048172 @default.
- W2119596976 cites W2149334629 @default.
- W2119596976 cites W2152471993 @default.
- W2119596976 cites W2153132823 @default.
- W2119596976 cites W2156530608 @default.
- W2119596976 cites W2158023973 @default.
- W2119596976 cites W2158128180 @default.
- W2119596976 cites W2161246948 @default.
- W2119596976 cites W2162594511 @default.
- W2119596976 cites W226861921 @default.
- W2119596976 cites W240454706 @default.