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CONTROLLER REDUCTION FOR NONLINEAR PLANTS—AN L 2 APPROACH
Author(s) -
Pavel Lacramioara,
Fairman Frederick W.
Publication year - 1997
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(199705)7:5<475::aid-rnc230>3.0.co;2-#
Subject(s) - control theory (sociology) , controller (irrigation) , nonlinear system , open loop controller , reduction (mathematics) , computer science , order (exchange) , mathematics , mathematical optimization , control engineering , control (management) , engineering , closed loop , physics , artificial intelligence , finance , economics , geometry , quantum mechanics , agronomy , biology
This paper extends the H ∞ balanced truncation approach of Mustafa–Glover for linear plants to input affine nonlinear plants. Nonlinear H ∞ balanced truncation is used to obtain a reduced order controller. Conditions which ensure that this controller stabilizes the full order plant are derived. This is done by relating the model reduction problem to a robust stabilization problem with unstructured perturbation. In addition an upper bound on the performance of the closed loop system, with respect to the L 2 gain, is obtained. When specialized to linear plants this bound reduces to Mustafa–Glover's result. © 1997 by John Wiley & Sons, Ltd. Int. J. Robust Nonlinear Control, Vol. 7, 475–505 (1997)