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Balancing and model reduction for second-order form linear systems

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2 Author(s)
Meyer, D.G. ; Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA ; Srinivasan, S.

Model reduction of second-order form linear systems is considered where a second-order form reduced model is desired, The focus is on reduction methods that employ or mimic Moore's balance and truncate (1981). First, we examine second-order form model reduction by conversion to first-order form and obtain a complete solution for this problem. Then, new Gramians and input/output (I/O) invariants for second-order systems are motivated and defined. Based on these, direct second-order balancing methods are developed. This leads naturally to direct second-order form analogs for the well-known first-order form balance and truncate model reduction method. Explicit algorithms are given throughout the paper

Published in:

Automatic Control, IEEE Transactions on  (Volume:41 ,  Issue: 11 )

Date of Publication:

Nov 1996

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