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.

Adaptive Fuzzy Control for Fractional-Order Networked Control Systems with Input Time Delay and Data Loss

“…Theorem 1 Consider the system (5) subjected to network delay and external disturbance. If the virtual control signals are (21), ( 36), (43), the adaptation laws are selected as (23), ( 38), ( 45), (50), and the controller u is given by (48), then all signals in the closed-loop system are uniformly bounded, and z i will converge to a adjustable region of the origin.…”

“…Since its proposal, the control method of FLSs based on fuzzy approximation is also used to design controllers for fractional-order networked control systems (FONCSs). For example, in [23], FONCSs with time-varying delay were modeled by the respective T-S fuzzy model, a fuzzy controller was proposed to analyze quadratic stability and extended dissipative performance; in [24], Wang et al proposed an adaptive fuzzy method, which solves the decentralized control issue of fractionalorder NCSs with strong interconnected terms and time-varying. Note that, the literature above only considers either delay or data loss.…”

Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

“…Te existence of the solutions variable-order problems is rarely discussed in literature [27][28][29][30][31][32][33][34][35][36][37]; specifcally, Souid et al [38,39] presented the existence, uniqueness, and stability of solutions to many diferent problems (implicit, thermostat, and resonance).…”