Time-delay dependent H∞ model simplification for singular systems with Markovian jumping parameters

Time-delay dependent H∞ model simplification for singular systems with Markovian jumping parameters

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Article ID: iaor201112229
Volume: 32
Issue: 4
Start Page Number: 379
End Page Number: 395
Publication Date: Jul 2011
Journal: Optimal Control Applications and Methods
Authors: , , , ,
Keywords: markov processes, stochastic processes
Abstract:

The problem of H model simplification for singular systems with Markovian jumping parameters and time-delay is investigated. For a given stochastic stable system, our attention is focused on the construction of reduced-order models which guarantee the corresponding error system to be admissible and have a prescribed H error performance. A robust admissibility condition and a robust bounded real lemma are developed based on which, sufficient conditions for the existence of desired reduced-order models are proposed. Desired reduced-order model can be constructed when the proposed conditions are satisfied. The effectiveness of the proposed model reduction method is illustrated via a numerical example.

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