Design of Disturbance Rejection-Based Quantized Resilient Control for Fuzzy Chaotic Systems

Abstract

In this paper, the design of a disturbance rejection-based fuzzy quantized resilient control for T-S fuzzy chaotic systems with randomly occurring parameter uncertainties and external disturbances is discussed. Specifically, a disturbance rejection technique is adopted in order to estimate the external disturbances with high precision that are impacting the system. Subsequently, by including a logarithmic quantizer into the feedback control, the control signals are quantized. From thereon, the estimated disturbance is fed into the quantized control path to counteract the impacts of disturbances on the system with an intent to achieve intended performance of the system. Moreover, through the utilisation of Lyapunov’s stability theory, adequate criteria affirming the stabilization of the undertaken system are procured in the form of linear matrix inequalities. On the basis of specified criteria, the design procedure of controller and observer gain matrices are presented. In the end, numerical examples together with the results of simulations are laid out so as to corroborate the relevance and effectiveness of the developed techniques.

Keywords

• Fuzzy chaotic system
• input quantization
• resilient control
• external disturbances
• disturbance rejection approach