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Published June 1988 | Published
Book Section - Chapter Open

Robustness in the Presence of Joint Parametric Uncertainty and Unmodeled Dynamics

Abstract

It is shown that, in the case of joint real parametric and complex uncertainty, Doyle's structured singular value can be obtained as the solution of a smooth constrained optimization problem. While this problem may have local maxima, an improved computable upper bound to the structured singular value is derived, leading to a sufficient condition for robust stability and performance.

Additional Information

© 1988 IEEE. The authors wish to thank Drs. E. Zafiriou and A.K. Packard for numerous discussions. The work of the first two authors was supported by the National Science Foundation under Grants No. DMC-84-51515 and CDR-85-00108. The work of the third author was supported by NASA, NSF, ONR, and AFOSR.

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