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Stability robustness in closed loop vibrational control
Author(s) -
Kabamba P. T.,
Meerkov S. M.,
Poh E.K.
Publication year - 1998
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(1998100)8:12<1101::aid-rnc374>3.0.co;2-n
Subject(s) - polytope , robustness (evolution) , control theory (sociology) , loop (graph theory) , closed loop , robust control , upper and lower bounds , stability (learning theory) , mathematics , controller (irrigation) , computer science , control system , control (management) , engineering , control engineering , chemistry , combinatorics , mathematical analysis , artificial intelligence , agronomy , biology , gene , biochemistry , electrical engineering , machine learning
In this paper, we consider the robust stability analysis and synthesis problems for closed‐loop vibrational control. In the analysis problem, we derive an upper bound on the allowable unstructured uncertainty which preserves the stability of a closed‐loop vibrationally stabilized system. In the synthesis problem, we establish a necessary and sufficient condition for the existence of a single vibrational controller that stabilizes a polytope of plants. © 1998 John Wiley & Sons, Ltd.