Mixed Optimization Approach to Model Approximation of Descriptor Systems

Q. Wang, J. Lam, Q. L. Zhang and Q. Y. Wang
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Q. Wang: University of Hong Kong
J. Lam: University of Hong Kong
Q. L. Zhang: Northeastern University
Q. Y. Wang: South China University of Technology

Journal of Optimization Theory and Applications, 2006, vol. 131, issue 2, No 7, 265-280

Abstract: Abstract A mixed optimal model approximation is presented to obtain reduced-order models for truly fast descriptor systems. By a projection from truly fast descriptor systems to discrete-time systems, a mixed optimal model approximation for truly fast descriptor systems is transformed to a mixed optimal model approximation of the corresponding discrete-time systems. The structure of the fast descriptor systems is preserved in the model approximation procedure. The expression of the error and its gradient are given explicitly in terms of the solutions of certain Lyapunov equations. A numerical example is provided to illustrate the effectiveness of the proposed method.

Keywords: Descriptor systems; Hilbert-Schmidt norm; H 2 norm; model approximation (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9137-1

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