Abstract
This paper investigated the problem of robust \( {{\mathrm{ H}}_{\infty }} \) filtering for uncertain switched systems with asynchronous switching and average dwell time. The asynchronous switching concerned in this paper represents that the switching instants of the presented controllers are lag behind those of the considered subsystems. Based on the Lyapunov function approach and average dwell time technique, sufficient conditions of the robust \( {{\mathrm{ H}}_{\infty }} \) filter are derived. Finally, an example is also given to illustrate the advantages and effectiveness of the theoretical results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Elsayed A, Grimble M (1989) A new approach to the H ∞ design of optimal digital linear filters. IMA J Math Control Inf 6(2):233–251
Karimi H, Zapateiro M, Luo N (2010) A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations. J Frankl Inst 347(6):957–973
Liu J, Hu S, Tian E (2011) A novel method of H ∞ filter design for time-varying delay systems. Int J Innov Comput, Inf Control 7(3):1299–1310
Xu S, Chen T (2004) An LMI approach to the H ∞ filter design for uncertain systems with distributed delays. IEEE Trans Circuit Syst 51(4):195–201
Yue D, Han Q, Peng C (2004) State feedback controller design of networked control systems. IEEE Trans Circuit Syst 51(11):640–644
Yue D, Han Q, Lam J (2005) Network-based robust H ∞ control of systems with uncertainty. Automatica 41(6):999–10007
Xiang Z, Wang R (2009) Robust stabilization of switched nonlinear systems with time-varying delays under asynchronous switching. Proc Inst Mech Eng, Part I: J Syst Control Eng 223:1111–1128
Zhang L, Shi P (2009) Stability, L2-gain and asynchronous control of discrete-time switched systems with average dwell time. IEEE Trans Autom Control 54:2193–2200
Zhang L, Gao H (2010) Asynchronously switched control of switched linear systems with average dwell time. Automatica 46(5):953–958
Acknowledgements
The authors would like to give thankful to referees for their valuable suggestions and comments. This work was supported by the Fundamental Research Funds for the Scientific Research Fund for Ph.D. Talents Introduction of CAFUC (Grant No. J2010-46).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Li, G., Cheng, J. (2014). Robust H∞ Filtering for Uncertain Switched Systems Under Asynchronous. In: Wang, W. (eds) Mechatronics and Automatic Control Systems. Lecture Notes in Electrical Engineering, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-319-01273-5_72
Download citation
DOI: https://doi.org/10.1007/978-3-319-01273-5_72
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01272-8
Online ISBN: 978-3-319-01273-5
eBook Packages: EngineeringEngineering (R0)