Adaptive Fuzzy Decentralized Control for Fractional-Order Nonlinear Large-Scale Systems With Unmodeled Dynamics

Abstract

This paper addresses the decentralized control issue for the fractional-order (FO) nonlinear large-scale strict-feedback systems with unmodeled dynamics. The unknown nonlinear functions are identified by fuzzy logic systems (FLSs) and the FO dynamic signals are introduced to dominate the unmodeled dynamics. Additionally, the fractional-order dynamic surface control (FODSC) design technique is introduced into the adaptive backstepping control algorithm to avoid the issue of "explosion of complexity". Then, an adaptive fuzzy decentralized control scheme is developed via the FO Lyapunov stability criterion. It is proved that the controlled FO systems are stable and the tracking errors can converge to a small neighborhood of zero. The simulation example is provided to confirm the validity of the put forward control scheme.INDEX TERMS Fractional-order system, large-scale systems, DSC, adaptive fuzzy decentralized control, backstepping, unmodeled dynamics.

Event‐triggered adaptive control for a class of switched nonlinear interconnected systems

“…Remark Compared with the fuzzy adaptive control for switched nonlinear systems, 12,15 the unknown hysteresis and the unknown control coefficients are considered in this article, it means that the application scope of the fuzzy adaptive control strategy is more general. Meanwhile, compared with the continuous time control for the interconnected systems, 17,21 the ETC strategy is adopted which can effectively lessen the communication burden.…”

“…Since the existence of unknown interconnections among subsystems, the interconnected system is generally divided into multiple subsystems and decentralized control technique [16][17][18][19] is adopted to obtain the expected control objective. Through employing fuzzy logic theory [20][21][22] or neural network theory, [23][24][25] some decentralized adaptive control strategies were proposed for nonlinear interconnected systems. Further, considering the situation that system states may be unmeasurable, two suitable decentralized output feedback controllers 26,27 were successfully constructed.…”