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reduced conservatism in stability robustness bounds by state transformationThis note addresses the issue of 'conservatism' in the time domain stability robustness bounds obtained by the Liapunov approach. A state transformation is employed to improve the upper bounds on the linear time-varying perturbation of an asymptotically stable linear time-invariant system for robust stability. This improvement is due to the variance of the conservatism of the Liapunov approach with respect to the basis of the vector space in which the Liapunov function is constructed. Improved bounds are obtained, using a transformation, on elemental and vector norms of perturbations (i.e., structured perturbations) as well as on a matrix norm of perturbations (i.e., unstructured perturbations). For the case of a diagonal transformation, an algorithm is proposed to find the 'optimal' transformation. Several examples are presented to illustrate the proposed analysis.
Document ID
19870026643
Document Type
Reprint (Version printed in journal)
Authors
Yedavalli, R. K.
(Toledo, University OH, United States)
Liang, Z.
(Stevens Institute of Technology Hoboken, NJ, United States)
Date Acquired
August 13, 2013
Publication Date
September 1, 1986
Publication Information
Publication: IEEE Transactions on Automatic Control
Volume: AC-31
ISSN: 0018-9286
Subject Category
CYBERNETICS
Funding Number(s)
CONTRACT_GRANT: F33615-84-K-3606
CONTRACT_GRANT: NAG1-578
Distribution Limits
Public
Copyright
Other