Mathematical Problems in Engineering
Volume 6 (2000), Issue 2-3, Pages 201-224

Weighted multirate q-Markov Cover identification using PRBS – an application to engine systems

G. George Zhu

Cummins Engine Company, 1900 Mckinley Ave., MC 50197, Columbus 47201, IN, USA

Received 9 August 1999

Copyright © 2000 G. George Zhu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The q-Markov COVariance Equivalent Realization (q-Markov Cover) method for identification uses either pulse, white noise or PRBS (Pseudo-Random Binary Signal) as test excitation. This paper extended the q-Markov Cover using PRBS to the weighted multirate case, that is, the sample rate of the PRBS signal is different from the system output one. Then, the multirate PRBS q-Markov Cover is applied to identify a diesel engine model from the fuel command input to the engine speed output. The identified engine model has order of two and approximates the pure fuel system time delay using a first-order transfer function with a non-minimum phase numerator. Finally, the identified engine model was successfully used for designing engine idle speed governor and obtained satisfactory performance in the first try.