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A reliable synthesis of discrete-time H-inf control. Part I: basic theorems and J-lossless conjugators

Abstract

The paper gives a basis for solving many problems of numerically reliable synthesis of sub-optimal discrete-time control in H-inf. The approach is based on J-lossless factorisation of the delta-domain chain-scattering description of continuous-time plants being controlled. Relevant properties of poles and zeroes of chain-scattering models are given. Necessary and sufficient conditions for the existence of stabilising J-lossless conjugators are presented and discussed. Some aspects of numerical conditioning of synthesis of such conjugators are considered. a numerical example illustrating synthesis of stabilising right J-lossless conjugators is also included.

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Category:
Articles
Type:
artykuł w czasopiśmie z listy filadelfijskiej
Published in:
CONTROL AND CYBERNETICS no. 36, pages 97 - 141,
ISSN: 0324-8569
Language:
English
Publication year:
2007
Bibliographic description:
Suchomski P.: A reliable synthesis of discrete-time H-inf control. Part I: basic theorems and J-lossless conjugators// CONTROL AND CYBERNETICS. -Vol. 36., nr. nr 1 (2007), s.97-141
Verified by:
Gdańsk University of Technology

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