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Systems with uncertain parameters — Time‐variations with bounded derivatives
Author(s) -
Jönsson Ulf,
Rantzer Anders
Publication year - 1996
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(199611)6:9/10<969::aid-rnc262>3.0.co;2-#
Subject(s) - bounded function , mathematics , computer science , control theory (sociology) , mathematical optimization , control (management) , mathematical analysis , artificial intelligence
It is shown how derivative bounds on uncertain time‐varying parameters can be exploited in robustness analysis of linear systems. A new stability criterion is derived, based on integral quadratic constraints (IQCs) in the frequency domain. The new stability criterion interpolates between well‐known stability results. As the derivative bounds tend to zero, the new criterion turns into the usual upper bound for the structured singular value. The stability analysis, which involves a search for suitable multipliers, can be formulated as a convex optimization problem in terms of linear matrix inequalities.