Model Reduction

  • Wodek Gawronski
Part of the Mechanical Engineering Series book series (MES)

The velocity loop model usually consists of too many state variables (i.e., a smaller number would reflect the system dynamics with similar precision). There are different methods of reducing the number of variables in the velocity loop models; see, for example, [3]. The balanced and modal model reduction methods have been selected, which are well tested in the antenna environment. Also, the reduction of a system with rigid-body modes (such as antennas) is discussed; it requires special attention because the standard approaches fail.

Why Reduction?

Analytical models have an excess of state variables that describe the antenna dynamics, due to the large number of degrees of freedom of the structural model and variables of the drives. For example, some drive variables may be important in the drive dynamics, but less important in the overall velocity loop dynamics. Thus, the model order reduction is recommended. The identified model also has excessive order, because the unimportant...


Model Reduction Balance Representation State Space Representation Antenna Model Model Reduction Method 
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    Clough RW, Penzien J. (1975). Dynamics of Structures. McGraw-Hill, New York.MATHGoogle Scholar
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    Ewins DJ. (2000). Modal Testing. Research Studies Press, Baldock, England.Google Scholar
  3. 3.
    Gawronski W. (2004). Advanced Structural Dynamics and Active Control of Structures. Springer, New York.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  • Wodek Gawronski
    • 1
  1. 1.Jet Populsion LaboratoryCalifornia Institute of TechnologyPasedenaUSA

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