Properties of the mixed /spl mu/ problem and its bounds

Upper and lower bounds for the mixed /spl mu/ problem have recently been developed, and here we examine the relationship of these bounds to each other and to /spl mu/. A number of interesting properties are developed and the implications of these properties for the robustness analysis of linear syst...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1996-01, Vol.41 (1), p.155-159
Main Authors: Young, P.M., Doyle, J.C.
Format: Article
Language:English
Subjects:
Actuators
Circuit stability
Damping
Frequency
Linear systems
Robust stability
Robustness
Space vehicles
Torque
Transfer functions
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Summary:Upper and lower bounds for the mixed /spl mu/ problem have recently been developed, and here we examine the relationship of these bounds to each other and to /spl mu/. A number of interesting properties are developed and the implications of these properties for the robustness analysis of linear systems and the development of practical computation schemes are discussed. In particular we find that current techniques can only guarantee easy computation for large problems when /spl mu/ equals its upper bound, and computational complexity results prohibit this possibility for general problems. In this context we present some special cases where computation is easy and make some direct comparisons between mixed /spl mu/ and "Kharitonov-type" analysis methods.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.481624