Special Issue: ICCAS 2024

International Journal of Control, Automation, and Systems 2025; 23(2): 552-559

https://doi.org/10.1007/s12555-024-0467-2

© The International Journal of Control, Automation, and Systems

Relaxed Local Stabilization for Discrete-time Fuzzy Systems via Quadratically Structural Approach

KyungSoo Kim, Yelim Kim, and PooGyeon Park*

POSTECH

Abstract

This paper aims to study the local stabilization problem of discrete-time fuzzy systems via a quadratically structural approach. The proposed methods tackle the conventional analysis deriving stabilization conditions in multiple summations by relaxed stabilization conditions in a quadratic structure. Moreover, an attempt to utilize the inherent properties of the quadratic structure is first introduced to construct a feasible problem in the form of linear matrix inequalities. These endeavors allow optimization problems to maximize a region of attraction to be achieved with relaxation. Finally, the effectiveness of the proposed methods is discussed by illustrative examples.

Keywords Discrete-time fuzzy systems, local stabilization, structural approach.

Article

Special Issue: ICCAS 2024

International Journal of Control, Automation, and Systems 2025; 23(2): 552-559

Published online February 1, 2025 https://doi.org/10.1007/s12555-024-0467-2

Copyright © The International Journal of Control, Automation, and Systems.

Relaxed Local Stabilization for Discrete-time Fuzzy Systems via Quadratically Structural Approach

KyungSoo Kim, Yelim Kim, and PooGyeon Park*

POSTECH

Abstract

This paper aims to study the local stabilization problem of discrete-time fuzzy systems via a quadratically structural approach. The proposed methods tackle the conventional analysis deriving stabilization conditions in multiple summations by relaxed stabilization conditions in a quadratic structure. Moreover, an attempt to utilize the inherent properties of the quadratic structure is first introduced to construct a feasible problem in the form of linear matrix inequalities. These endeavors allow optimization problems to maximize a region of attraction to be achieved with relaxation. Finally, the effectiveness of the proposed methods is discussed by illustrative examples.

Keywords: Discrete-time fuzzy systems, local stabilization, structural approach.

IJCAS
February 2025

Vol. 23, No. 2, pp. 359~682

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