Abstract
This chapter studies the problem of non-fragile \(H_\infty \) filter design for Takagi–Sugeno (T–S) fuzzy systems. The filters to be designed are assumed to have additive gain variations. Based on the linear matrix inequality (LMI) technique, sufficient conditions for designing the \(H_\infty \) filters are obtained for the continuous-time and discrete-time T–S fuzzy systems, respectively. It is shown that the filter gains are given from a set of linear matrix inequalities (LMIs) feasible solutions. A numerical example is provided to show the efficiency of the proposed design methods.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Chang XH, Yang GH (2011) Nonfragile \(H_\infty \) filtering of continuous-time fuzzy systems. IEEE Trans Signal Process 59:1528–1538
Chang X H, Yang G H (2011) Non-fragile fuzzy \(H_\infty \) filter design for nonlinear systems. In: Chinese Control and Decision Conference in Mianyang, pp 3471–3475
Gahinet P, Nemirovski A, Laub A J et al (1995) LMI control toolbox. The MathWorks Inc., Natick
Zhou K, Doyle J, Glover K (1996) Robust and optimal control. Prentice-Hall, New Jersey
Zhou S, Lam J, Xue A (2007) \(H_\infty \) filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach. Fuzzy Sets Syst 158:180–193
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Chang, XH. (2012). With Additive Gain Variations. In: Takagi-Sugeno Fuzzy Systems Non-fragile H-infinity Filtering. Studies in Fuzziness and Soft Computing, vol 282. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28632-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-28632-2_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28631-5
Online ISBN: 978-3-642-28632-2
eBook Packages: EngineeringEngineering (R0)