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Design of low‐order controllers satisfying sensitivity constraints for unstructured uncertain plants
Author(s) -
Yaniv O.
Publication year - 2004
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/rnc.954
Subject(s) - multiplicative function , sensitivity (control systems) , polygon (computer graphics) , mathematical optimization , order (exchange) , simple (philosophy) , control theory (sociology) , computer science , radius , convex polygon , mathematics , control (management) , regular polygon , engineering , mathematical analysis , telecommunications , philosophy , computer security , finance , epistemology , frame (networking) , electronic engineering , artificial intelligence , geometry , economics
This paper presents a simple analytically based algorithm for the design of reduced‐order controllers satisfying frequency‐dependent sensitivity specifications for SISO plants having unstructured uncertainty. The uncertainties can be additive as well as multiplicative, and can take the form of circles, polygons or sectors located around a nominal plant. Moreover, the circle radius and polygon and sector sizes may depend on the frequency. The proposed method is applicable to both continuous and discrete designs. Copyright © 2004 John Wiley & Sons, Ltd.