New Criteria of Robust Stability for Fuzzy Mixed-Delay Systems with Nonlinear Noise Disturbances

abstract

• 2015, Springer Science+Business Media New York. This paper investigates new criteria of the robust H stability for a class of uncertain stochastic fuzzy mixed-delay systems with nonlinear noise disturbances by employing an improved free-weighting matrix approach. The fuzzy system is based on the TakagiSugeno model that is often used to represent the complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning. To reflect more realistic dynamical behaviors of the system, both the parameter uncertainties and stochastic disturbances are considered, the stochastic disturbances are given in the form of a Brownian motion. The mixed delays comprise both discrete and distributed time-varying delays. In terms of a stochastic fuzzy Lyapunov functional, a sufficient criterion is proposed to investigate dynamical behaviors of the system in the mean-square sense with an H performance index.

authors

• Huang, Tingwen

published proceedings

• CIRCUITS SYSTEMS AND SIGNAL PROCESSING

author list (cited authors)

• Cao, Y., Zeng, Z., Huang, T., & Wen, S.

citation count

• 3

complete list of authors

• Cao, Yuting||Zeng, Zhigang||Huang, Tingwen||Wen, Shiping

publication date

• August 2016

publisher

• Springer Nature  Publisher

published in

• Circuits, Systems and Signal Processing  Journal

keywords

• Fuzzy System
• Noise Disturbances
• Time Delay

Digital Object Identifier (DOI)

• 10.1007/s00034-015-0185-3

start page

• 2810

end page

• 2831

volume

• 35

issue

• 8

URL

• http://dx.doi.org/10.1007/s00034-015-0185-3