Type-3 Fuzzy Gain-Scheduled State-Feedback Control
Mao J.-B. Tian M. Yedilkhan D. Zhakiyev N. Mohammadzadeh A.
25 December 2025Korean Institute of Intelligent Systems
International Journal of Fuzzy Logic and Intelligent Systems
2025#25Issue 4389 - 405 pp.
In most existing studies, scheduling parameters are assumed to be known and constant, which limits their applicability in practical applications. In this study, a new gain-scheduled feedback control system that addresses unknown and time-varying uncertainties is designed. These uncertainties are modeled using Sugeno-based type-3 fuzzy systems, where their upper and lower bounds are represented by type-3 fuzzy numbers rather than fixed constants. The scheduling parameters are estimated online using suggested adaptation laws derived by minimizing a cost function. Based on the estimated Sugeno-based type-3 fuzzy systems, a robust state-feedback law is designed, with sufficient stability conditions established using the Lyapunov approach. The proposed system is validated on various systems with non-identical dynamics, including a roll channel controller for an air-to-ground interceptor, an inverted pendulum, and a chaotic financial system with unknown dynamics. The results demonstrate the feasibility and good response of the designed scheme.
Financial chaotic system , Gain-scheduling , Linear matrix inequalities , Parameter-varying systems , Type-3 (T3) fuzzy system , Uncertainties
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Xiangtan University, Xiangtan, China
Department of Science and Innovation, Astana IT University, Astana, Kazakhstan
School of Artificial Intelligence and Data Science, Astana IT University, Astana, Kazakhstan
Xiangtan University
Department of Science and Innovation
School of Artificial Intelligence and Data Science
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