Model Approximation for Discrete-Time State-Delay Systems in the T–S Fuzzy Framework | IEEE Journals & Magazine | IEEE Xplore

Model Approximation for Discrete-Time State-Delay Systems in the T–S Fuzzy Framework


Abstract:

This paper is concerned with the problem of H∞ model approximation for discrete-time Takagi-Sugeno (T-S) fuzzy time-delay systems. For a given stable T- S fuzzy system, o...Show More

Abstract:

This paper is concerned with the problem of H model approximation for discrete-time Takagi-Sugeno (T-S) fuzzy time-delay systems. For a given stable T- S fuzzy system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well in an H performance but is also translated into a linear lower dimensional system. By applying the delay partitioning approach, a delay-dependent sufficient condition is proposed for the asymptotic stability with an H error performance for the error system. Then, the H model approximation problem is solved by using the projection approach, which casts the model approximation into a sequential minimization problem subject to linear matrix inequality (LMI) constraints by employing the cone complementary linearization algorithm. Moreover, by further extending the results, H model approximation with special structures is obtained, i.e., delay-free model and zero-order model. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed methods.
Published in: IEEE Transactions on Fuzzy Systems ( Volume: 19, Issue: 2, April 2011)
Page(s): 366 - 378
Date of Publication: 06 January 2011

ISSN Information:


References

References is not available for this document.