H∞ Model Reduction of 2D Markovian Jump System with Roesser Model

Xue Song Han; Yu Bo Duan

doi:10.4028/www.scientific.net/AEF.6-7.135

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HomeAdvanced Engineering ForumAdvanced Engineering Forum Vols. 6-7H∞ Model Reduction of 2D Markovian Jump System...

H_∞ Model Reduction of 2D Markovian Jump System with Roesser Model

Abstract:

This paper extends the results obtained for one-dimensional Markovian jump systems to investigate the problem of H_∞ model reduction for a class of linear discrete time 2D Markovian jump systems with state delays in Roesser model which is time-varying and mode-independent. The reduced-order model with the same randomly jumping parameters is proposed which can make the error systems stochastically stable with a prescribed H∞ performance. A sufficient condition in terms of linear matrix inequalities_{Subscript text} (LMIs) plus matrix inverse constraints are derived for the existence of a solution to the reduced-order model problems. The cone complimentarity linearization (CCL) method is exploited to cast them into nonlinear minimization problems subject to LMI constraints. A numerical example is given to illustrate the design procedures.

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Periodical:

Advanced Engineering Forum (Volumes 6-7)

Pages:

135-142

DOI:

https://doi.org/10.4028/www.scientific.net/AEF.6-7.135

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Online since:

September 2012

Authors:

Xue Song Han, Yu Bo Duan

Keywords:

2D System, CCL, H_∞ Control, Markovian Jump System, Model Reduction

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References

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