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A comparison of multiple time-scale analysis and overlapping decompositions

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2 Author(s)
A. Iftar ; Dept. of Electr. Eng., Toronto Univ., Ont., Canada ; F. Khorrami

Two-level hierarchical systems are considered, and two different design methodologies, multiple-time-scale analysis and overlapping decompositions, are compared. The comparison is based on quadratic performance indices. It is demonstrated that, in general, the multiple-time-scale approach, produces better results whenever the time-scale parameter is small. However, the overlapping decompositions approach usually yields better controller designs as the time-scale parameter gets larger. An example of a mass-spring system is presented to illustrate the practical applications of the theoretical details discussed

Published in:

IEEE Transactions on Systems, Man, and Cybernetics  (Volume:19 ,  Issue: 5 )