By: S.L. Campbell, Ramine Nikoukhah

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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.

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

Preface	p. vii
Introduction	p. 1
The Basic Question	p. 1
Failure etection	p. 3
Failure Identification	p. 9
Active Approach versus Passive Approach	p. 10
Outline of the Book	p. 13
Failure Detection	p. 14
Introduction	p. 14
Static Case	p. 15
Continuous-Time Systems	p. 25
Iscrete-Time Systems	p. 36
Real-Time Implementation Issues	p. 42
Useful Results	p. 44
Multimodel Formulation	p. 59
Introduction	p. 59
Static Case	p. 60
Continuous-Time Case	p. 76
Case of On-line Measured Input	p. 90
More General Cost Functions	p. 92
Iscrete-Time Case	p. 99
Suspension Example	p. 102
Asymptotic Behavior	p. 111
Useful Results	p. 112
Direct Optimization Formulations	p. 122
Introduction	p. 122
Optimization Formulation for Two Models	p. 123
General-Model Case	p. 138
Early etection	p. 142
Other Extensions	p. 150
Systems with Delays	p. 155
Setting Error Bounds	p. 172
Model Uncertainty	p. 173
Remaining Problems and Extensions	p. 176
Direct Extensions	p. 177
Hybrid and Sampled Data Systems	p. 179
Relation to Stochastic Modeling	p. 179
Scilab Programs	p. 181
Introduction	p. 181
Riccati-based Solution	p. 181
The Block iagonalization Approach	p. 185
Getting Scilab and the Programs	p. 188
List of Symbols 189
Bibliography	p. 193
Index	p. 201
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780691099873
ISBN-10: 0691099871
Series: Princeton Series in Applied Mathematics (Hardcover)
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 208
Published: 26th January 2004
Dimensions (cm): 23.9 x 16.8  x 2.0
Weight (kg): 0.448