Premium
Frequency‐restricted norm bounds for interval systems
Author(s) -
Kimura Tetsuya,
Hara Shinji
Publication year - 1994
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.4590040410
Subject(s) - mathematics , counterexample , norm (philosophy) , bounded function , parametric statistics , interval (graph theory) , control theory (sociology) , generalization , interval arithmetic , linear system , discrete mathematics , mathematical analysis , computer science , combinatorics , statistics , control (management) , artificial intelligence , political science , law
We investigate bounds of frequency‐restricted norms (FRN), a generalization of H ∞ ‐norm, for SISO LTI interval systems, where the numerator and the denominator are interval polynomials. Though the H ∞ ‐norm of interval systems can be determined by 16 Kharitonov‐type systems, we can show that this fact is not true in general by a counterexample. A special class of systems for which the FRN is bounded by fixed extremal systems is derived. On the basis of this result, an example of PI‐type controller design considering both parametric and unstructured perturbations is illustrated by a parameter space design method.