System Identification for Limit Cycling Systems: A Case Study for Combustion
Instabilities
R. M. Murray, C. A. Jacobson, R. Casas, A. I. Khibnik, C. R. Johnson Jr., R. Bitmead,
A. A. Peracchio, W. M. Proscia
1998 American Control Conference
This paper presents a case study in system identification for limit cycling systems.
The focus of the paper is on (a) the use of model structure derived from physcal
considerations and (b) the use of algorithms for the identification of component
subsystems of this model structure. The physical process used in this case study is that
of a reduced order model for combustion instabilities for lean premixed systems. The
identification techniques applied in this paper are the use of linear system
identification tools (prediction error methods), time delay estimation (based on Kalman
filter harmonic estimation methods) and qualitative validation of model properties using
harmonic balance and describing function methods. The novelty of the paper, apart from its
practical application, is that closed loop limit cycle data is used together with a priori
process structural knowledge to identify both linear dynamic forward and nonlinear
feedback paths. Future work will address the refinement of the process presented in this
paper, the use of alternative algorithms and also the use of control approachs for the
validated model structure obtained from this paper.
Conference Paper
(PDF, 798K, 24 pages)
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Richard Murray (murray@cds.caltech.edu)