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
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.
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.
KyungSoo Kim, Yelim Kim, and PooGyeon Park*
POSTECH
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.
Vol. 23, No. 2, pp. 359~682