Stability Analysis and Design of Fuzzy Descriptor Systems

Stability Analysis of Positive Descriptor Systems

Abstract. In this paper, we discuss stability properties of positive descriptor systems in the continuous-time as well as in the discrete-time case. We present characterisations of positivity and establish generalised stability criteria for the case of positive descriptor systems. We show that if the spectral projector onto the finite deflating subspace of the matrix pair (E, A) is nonnegative,...

POTENTIAL ENERGY BASED STABILITY ANALYSIS OF FUZZY LINGUISTIC SYSTEMS

This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.

Stability Analysis and Control Design of Fuzzy Systems

The paper studies the stability analysis and the systematic control design of fuzzy systems which have been successfully applied to many practical industrial applications in the recent years. Despite the success it has become evident that many basic issues remain to be further addressed. These issues are based to the fact that there are not analytical tools, there is not a fuzzy systems theory ...

Robust fuzzy controller design for uncertain descriptor markovian jump systems

Abstract: This paper examines the problem of designing a robust H∞ state-feedback controller for a class of uncertain nonlinear descriptor Markovian jump systems described by a Takagi-Sugeno (TS) fuzzy model with Markovian jumps. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain nonlinear descriptor Markovian jump systems to have an H∞ perform...

Analysis and Stability of Fuzzy Systems