Controllability and Observability of Linear Matrix-Second-Order Systems

[+] Author and Article Information
P. C. Hughes, R. E. Skelton

School of Aeronautics and Astronautics, Purdue University, West Lafayette, Ind.

J. Appl. Mech 47(2), 415-420 (Jun 01, 1980) (6 pages) doi:10.1115/1.3153679 History: Received July 01, 1979; Revised October 01, 1979; Online July 21, 2009


This paper studies the controllability and observability of the system Mq̈ + Gq̇ + Kq = Bu , where M is symmetric and positive-definite, G is skew-symmetric and K is symmetric. In all cases, the output equation is y = Pq + Rq̇ . This special structure is exploited to derive relatively simple controllability and observability conditions which are shown to provide important insights on the modal behavior of the system and to furnish information on the number and positioning of sensors and actuators.

Copyright © 1980 by ASME
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