Displaying similar documents to “Continuous-time periodic systems in H 2 and H ∞ . Part I: Theoretical aspects”

Continuous-time periodic systems in H 2 and H ∞ . Part II: State feedback problems

Patrizio Colaneri (2000)

Kybernetika

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This paper deals with some state-feedback H 2 / H ∞ control problems for continuous time periodic systems. The derivation of the theoretical results underlying such problems has been presented in the first part of the paper. Here, the parametrization and optimization problems in H 2 , H ∞ and mixed H 2 / H ∞ are introduced and solved.

Balanced reduction of linear periodic systems

Sauro Longhi, Giuseppe Orlando (1999)

Kybernetika

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For linear periodic discrete-time systems the analysis of the model error introduced by a truncation on the balanced minimal realization is performed, and a bound for the infinity norm of the model error is introduced. The results represent an extension to the periodic systems of the well known results on the balanced truncation for time-invariant systems. The general case of periodically time-varying state-space dimension has been considered.