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Title page for ETD etd-03282008-130427

Type of Document Master's Thesis
Author Barve, Aparna A
Author's Email Address aparna.a.barve@vanderbilt.edu
URN etd-03282008-130427
Title An Efficient Equation Generation Mechanism for a Component-based Modeling Scheme
Degree Master of Science
Department Computer Science
Advisory Committee
Advisor Name Title
Gautam Biswas Committee Member
Xenofon Koutsoukos Committee Member
  • causality
  • kalman filters
  • observer
  • bond graphs
  • Fault location (Engineering) -- Computer simulation
  • Observers (Control theory)
Date of Defense 2008-03-25
Availability unrestricted
Fault diagnosis mechanisms for continuous dynamic systems involve

building observers that can track system behavior. Continuous

dynamic systems can be modeled using bond graphs which are a

domain independent graphical description of dynamic behavior of

physical systems. The observer plays an important part in

diagnosing faults in such systems by comparing the system output

with the estimated output and monitoring the observer residual for

possible faults. The steps involved in building an observer from a

bond graph model involve transforming the bond graph model of the

physical system to its corresponding block diagram model,

generating the state space equations and the output equations and

then implementing the observer that uses the mathematical

equations and other parameters including the output generated by

the system.

The thesis provides an efficient equation generation mechanism for

a component based modeling scheme. Assigning causalities to the

bonds captures the cause effect relationship between the bond

graph elements and considering these causalities in the equation

generation algorithm significantly optimizes the process of

deriving the state space or the process model and the measurement

model. These models have also been used to construct a Kalman

filter based observer, which is used to track the system behavior.

A mechanism for extending the modeling paradigm to include n-port

elements that play an important part in the modeling on

multi-domain physical systems has also been given. The

implementation has been verified by running the system for a

hydraulic actuator and a two tank system.

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