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New performance bounds of continuous‐time LQ systems with uncertain parameters
Author(s) -
Zhang X. F.,
Luo J. S.,
Johnson A.
Publication year - 1994
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660150206
Subject(s) - parametric statistics , robustness (evolution) , quadratic equation , upper and lower bounds , mathematics , mathematical optimization , quadratic growth , control theory (sociology) , computer science , algorithm , statistics , artificial intelligence , mathematical analysis , biochemistry , chemistry , geometry , control (management) , gene
In this short communication we present new upper and lower performance bounds of LQ (linear—quadratic) systems with time‐varying parametric uncertainties. These new performance bounds improve on those proposed by Wang and Kuo by giving more accurate measures of performance robustness. We use the same example as that used by Wang and Kuo to show that the improvements are substantial.