An Extended Dissipative Analysis of Fractional-Order Fuzzy Networked Control Systems

Abstract

This study presents an extended dissipative analysis of fractional order fuzzy networked control system with uncertain parameters. First, we designed the network-based fuzzy controller for the considered model. Second, a novel Lyapunov-Krasovskii functional (LKF) approach, inequality techniques, and some sufficient conditions are established, which make the proposed system quadratically stable under the extended dissipative criteria. Subsequently, the resultant conditions are expressed with respect to linear matrix inequalities (LMIs). Meanwhile, the corresponding controller gains are designed under the larger sampling interval. Finally, two numerical examples are presented to illustrate the viability of the obtained criteria.

Keywords

• Lyapunov-Krasovskii functionals
• network control system
• Takagi-Sugeno (T-S) fuzzy approach
• extended dissipative