Modelling, state observation and diagnosis of quantised systems
type: Item
instance of: scholarly article
title: Modelling, state observation and diagnosis of quantised systems
zbMATH Open document ID: 1041.93003
DOI: 10.1007/3-540-46086-1
author: Jochen Schröder
published in: Lecture Notes in Control and Information Sciences
publication date: 2003-02-23T00:00:00Z
review text: This book is about supervision of continuous dynamical systems which are typically described by differential equations, e.g. a two-tank system is used by the author as a running example. However, uncertainties possibly occurring in descriptions often make the use of precise models very difficult. That is why continuous systems are considered here as discrete event systems. The core idea of the approach is that all signals in the system are quantised. The quantised system is then analyzed on the basis of finite stochastic automata theory. Input/output alphabets, set of states and the behavioral relation of the automaton are assumed to be known. The supervision problems, considered in the book, namely the \textit{state observation} and the \textit{fault diagnostic} tasks, have been studied earlier in journal articles [see, e.g. \textit{J. Lunze} and \textit{J. Schröder}, Discrete Event Dyn. Syst. 11, No. 4, 319--369 (2001; Zbl 1055.93056)]. In the state observation task, given a prior distribution of the initial state of the automaton and input/output sequences, a-posteriori probability distributions of the current and initial states should be obtained. The fault diagnostic task is reduced to the state observation one by introducing suitable additional states to the automaton. The results are generalized for networks of quantised systems. Applications the methods to a chemical plant are considered at the end of book.
reviewed by: Alex V. Kolnogorov
Mathematics Subject Classification ID: 93-02
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93C65
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93B25
zbMATH DE Number: 1872985
zbMATH Keywords: quantised systems
zbMATH Keywords: supervision
zbMATH Keywords: state observation
zbMATH Keywords: diagnosis
zbMATH Keywords: stochastic automata
zbMATH Keywords: diagnosability
zbMATH Keywords: observability
zbMATH Keywords: discrete event systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/3-540-46086-1
OpenAlex ID: W4233863062
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description: scientific article; zbMATH DE number 1872985