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

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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Additional information

Category
Publikacja w czasopiśmie
Type
artykuł w czasopiśmie z listy filadelfijskiej
Language
angielski
Publication year
2007

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