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Večerek, O. and Schlegel, M. : Design of H-infinity PI controllers by robustness regions method . Process control 2004, p. 1-9, University of Pardubice , Pardubice, 2004.


This paper presents the complete analytical solution of the mixed sensitivity design problem for general SISO systems and the PI controller. The generalized robustness regions method is employed to obtain robustness regions in the parameter plane k-k_i for given gamma. The value of gamma when the admissible region turns into the point corresponds to the optimal PI controller. Moreover, the presented method fully describes the set of all PI controllers which guarantee the given value of the mixed sensitivity criterion gamma. The presented solution can also be extended to the PID controller with fixed ratio Td/Ti or to another fixed structure controller with two design parameters.

Detail of publication

Title: Design of H-infinity PI controllers by robustness regions method
Author: Večerek, O. ; Schlegel, M.
Language: English
Date of publication: 8 Jun 2004
Year: 2004
Type of publication: Papers in proceedings of reviewed conferences
Title of journal or book: Process control 2004
Page: 1 - 9
ISBN: 80-7194-662-1
Publisher: University of Pardubice
Address: Pardubice
Date: 8 Jun 2004 - 11 Jun 2004
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robust control, H-infinity design, PI control, robustness regions


 author = {Ve\v{c}erek, O. and Schlegel, M.},
 title = {Design of H-infinity PI controllers by robustness regions method},
 year = {2004},
 publisher = {University of Pardubice },
 journal = {Process control 2004},
 address = {Pardubice},
 pages = {1-9},
 ISBN = {80-7194-662-1},
 url = {},