Efficient computation of closed-loop frequency response for large-order flexible systems | Zendy

Peiman Maghami | Zendy; Daniel P. Giesy | Zendy

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Efficient computation of closed-loop frequency response for large-order flexible systems

Author(s) -

Peiman Maghami,

Daniel P. Giesy

Publication year - 1996

Publication title -

journal of guidance control and dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.573

H-Index - 143

eISSN - 1533-3884

pISSN - 0731-5090

DOI - 10.2514/3.21699

Subject(s) - computation , control theory (sociology) , computer science , frequency response , closed loop , loop (graph theory) , order (exchange) , control engineering , mathematics , engineering , algorithm , control (management) , economics , artificial intelligence , electrical engineering , finance , combinatorics

An efficient and robust computational scheme is given for the calculation of the frequency response function of a large order, flexible system implemented with a linear, time invariant control system. Advantage is taken of the highly structured sparsity of the system matrix of the plant based on a model of the structure using normal mode coordinates. The computational time per frequency point of the new computational scheme is a linear function of system size, a significant improvement over traditional, full-matrix techniques whose computational times per frequency point range from quadratic to cubic functions of system size. This permits the practical frequency domain analysis of systems of much larger order than by traditional, full-matrix techniques. Formulations are given for both open and closed * Senior Research Engineer, Guidance and Control Branch, NASA Langley Research Center, Mail Stop 161, Hampton, VA 23681-0001,

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