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Auxiliary Signal Design for Failure Detection : Princeton Series in Applied Mathematics - Stephen L. Campbell

Auxiliary Signal Design for Failure Detection

Princeton Series in Applied Mathematics

Hardcover Published: 15th February 2004
ISBN: 9780691099873
Number Of Pages: 224

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Many industries, such as transportation and manufacturing, use control systems to insure that parameters such as temperature or altitude behave in a desirable way over time. For example, pilots need assurance that the plane they are flying will maintain a particular heading. An integral part of control systems is a mechanism for failure detection to insure safety and reliability.

This book offers an alternative failure detection approach that addresses two of the fundamental problems in the safe and efficient operation of modern control systems: failure detection--deciding when a failure has occurred--and model identification--deciding which kind of failure has occurred. Much of the work in both categories has been based on statistical methods and under the assumption that a given system was monitored passively.

Campbell and Nikoukhah's book proposes an "active" multimodel approach. It calls for applying an auxiliary signal that will affect the output so that it can be used to easily determine if there has been a failure and what type of failure it is. This auxiliary signal must be kept small, and often brief in duration, in order not to interfere with system performance and to ensure timely detection of the failure. The approach is robust and uses tools from robust control theory. Unlike some approaches, it is applicable to complex systems. The authors present the theory in a rigorous and intuitive manner and provide practical algorithms for implementation of the procedures.

Industry Reviews

"Aimed at a broad audience that includes graduate students in engineering and applied mathematics, the book is notable for its emphasis and focus on mathematical intuition and numerical issues. It is very well written, with an attention to detail and rigor... [T]he material is accessible to a wide audience with interests in areas such as control theory of differential equations."--Bogdan I. Epureanu, IEEE Control Systems

Prefacep. vii
Introductionp. 1
The Basic Questionp. 1
Failure etectionp. 3
Failure Identificationp. 9
Active Approach versus Passive Approachp. 10
Outline of the Bookp. 13
Failure Detectionp. 14
Introductionp. 14
Static Casep. 15
Continuous-Time Systemsp. 25
Iscrete-Time Systemsp. 36
Real-Time Implementation Issuesp. 42
Useful Resultsp. 44
Multimodel Formulationp. 59
Introductionp. 59
Static Casep. 60
Continuous-Time Casep. 76
Case of On-line Measured Inputp. 90
More General Cost Functionsp. 92
Iscrete-Time Casep. 99
Suspension Examplep. 102
Asymptotic Behaviorp. 111
Useful Resultsp. 112
Direct Optimization Formulationsp. 122
Introductionp. 122
Optimization Formulation for Two Modelsp. 123
General-Model Casep. 138
Early etectionp. 142
Other Extensionsp. 150
Systems with Delaysp. 155
Setting Error Boundsp. 172
Model Uncertaintyp. 173
Remaining Problems and Extensionsp. 176
Direct Extensionsp. 177
Hybrid and Sampled Data Systemsp. 179
Relation to Stochastic Modelingp. 179
Scilab Programsp. 181
Introductionp. 181
Riccati-based Solutionp. 181
The Block iagonalization Approachp. 185
Getting Scilab and the Programsp. 188
List of Symbols 189
Bibliographyp. 193
Indexp. 201
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780691099873
ISBN-10: 0691099871
Series: Princeton Series in Applied Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 224
Published: 15th February 2004
Publisher: Princeton University Press
Country of Publication: US
Dimensions (cm): 24.03 x 16.76  x 1.96
Weight (kg): 0.43