Robust analysis and output feedback controller design of Takagi-Sugeno fuzzy systems via superstability conditions. Issue 14 (2015)

• Record Type: Journal Article
• Authors: Talagaev, Yuri V.
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 14(2015)
• Page Start: 290
• Page End: 295
• Publication Date: 2015
• Subjects: T-S fuzzy system -- Superstability -- Output feedback -- Robust analysis -- Robust control; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.472
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The paper addresses an approach to the stability analysis and control design of continuoustime Takagi-Sugeno (T-S) fuzzy systems, based on the superstability conditions. The superstability conditions are the sufficient stability conditions, that are easy-to-use, because they are written as the restrictions on the elements of the matrices of linear subsystems of the T-S fuzzy model. Superstability is a useful property, allowing providing the given characteristics of the transient response. It is shown that the implementation of superstability conditions presents the general approach to the output superstabilization of the T-S fuzzy systems. Moreover the efficiency of superstability conditions for the robust analysis and stabilization of the T-S fuzzy systems with parametric uncertainties is exhibited below. An example of robust stabilization of the generalized chaotic system, shown in the work, proves the constructability of the offered approach.