http://iet.metastore.ingenta.com
1887

Towards less conservative stabilisation conditions for Markovian jump linear systems with partly unknown transition probabilities

Towards less conservative stabilisation conditions for Markovian jump linear systems with partly unknown transition probabilities

For access to this article, please select a purchase option:

Buy article PDF
$19.95
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
Electronics Letters — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The problem of deriving less conservative stability and stabilisation conditions for a class of discrete-time Markovian jump linear systems with partly unknown transition probabilities is investigated. To do so, traditional conditions under consideration are first formulated to be with homogeneous polynomial dependence on partly unknown transition probabilities, and then be converted into a finite set of linear matrix inequalities via a relaxation process that can incorporate all possible slack variables coupled with transition probabilities.

References

    1. 1)
      • 1. Boukas, E.-K., Liu, Z.K.: ‘Robust H control of discrete-time Markovian jump linear systems with mode-dependent time-delays’, IEEE Trans. Autom. Control, 2001, 46, pp. 19181924 (doi: 10.1109/9.975476).
    2. 2)
      • 2. Costa, O.L.V., Fragoso, M.D., Marques, R.P.: ‘Discrete-time Markovian jump linear systems’ (Springer-Verlag, London, 2005).
    3. 3)
      • 3. Xionga, J., Lam, J., Gao, J., Ho, , and Daniel, W.C.: ‘On robust stabilization of Markovian jumpsystems with uncertain switching probabilities’, Automatica, 2005, 41, pp. 897903 (doi: 10.1016/j.automatica.2004.12.001).
    4. 4)
      • 4. Zhang, L., Lam, J.: ‘Necessary and sufficient conditions for analysis and synthesis of Markov jump linear systems with incomplete transition descriptions’, IEEE Trans. Autom. Control, 2010, 55, (7), pp. 16951701 (doi: 10.1109/TAC.2010.2046607).
    5. 5)
      • 5. Shen, M., Yang, G.-H.: H2 state feedback controller design for continuous Markov jump linear systems with partly known information’, Int. J. Syst. Sci., 2012, 43, (4), pp. 786796 (doi: 10.1080/00207721.2010.523799).
    6. 6)
      • 6. Kim, S.H., Park, P.: ‘Networked-based robust H control design using multiple levels of network traffic’, Automatica, 2009, 45, pp. 764770 (doi: 10.1016/j.automatica.2008.10.013).
http://iet.metastore.ingenta.com/content/journals/10.1049/el.2013.1430
Loading

Related content

content/journals/10.1049/el.2013.1430
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address