zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Design of PI controllers based on non-convex optimization. (English) Zbl 0942.93009
The authors formulate the design problem as an optimization problem with a constraint on the maximum sensitivity and they exploit the structure of this optimization problem. They give iterative methods to solve the problem (if a solution exists, otherwise the methods indicate when there is no controller) and finally calculate explicitly 8 examples with very different transfer functions. They compare their method with existing ones and give hints where the ideas of the new method came from. It is quite interesting, that already in 1950 {\it P. Hazebroek} and {\it B. L. van der Waerden} [Trans. A.S.M.E. 72, 309-322 (1950)] discussed the use of optimization to solve special control problems of the kind handled in this paper.

93B51Design techniques in systems theory
93B35Sensitivity (robustness) of control systems
Full Text: DOI