Fault tolerant synchronization of chaotic heavy symmetric gyroscope systems versus external disturbances via Lyapunov rule-based fuzzy control

• Published in: ISA transactions Vol. 51; no. 1; pp. 50 - 64
• Main Authors: Farivar, Faezeh, Shoorehdeli, Mahdi Aliyari
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 2012; Elsevier
• Subjects: Algorithms; Applied sciences; Artificial Intelligence; Chaos theory; Chaotic gyroscope; Computer science; control theory; systems; Computer Simulation; Control system analysis; Control theory. Systems; Disturbances; Exact sciences and technology; Fault tolerance; Fault tolerant; Faults; Fundamental areas of phenomenology (including applications); Fuzzy control; Fuzzy Logic; Industry - instrumentation; Lyapunov rule-based fuzzy control; Mechanics; Modelling and identification; Nonlinear control; Nonlinear Dynamics; Nonlinear dynamics and nonlinear dynamical systems; Physics; Reproducibility of Results; Solid dynamics (ballistics, collision, multibody system, stabilization...); Solid mechanics; Statistical physics, thermodynamics, and nonlinear dynamical systems; Synchronism; Synchronization; Synchronization ; coupled oscillators; Fault tolerant; Chaotic gyroscope; Lyapunov rule-based fuzzy control; Synchronization; Nonlinear control; Chaos; Actuators; Disturbance rejection; Non linear control; Solid dynamic; Fuzzy control; Fault tolerance; Modelling; Gyroscopes; System identification; Fault tolerant system; Observers; Knowledge base; Fuzzy logic; Symmetric matrix; Feasibility; Asymptotic approximation; Expert systems; Lyapunov function; Lyapunov methods
• ISSN: 0019-0578; 1879-2022; 1879-2022
• DOI: 10.1016/j.isatra.2011.07.002

In this paper, fault tolerant synchronization of chaotic gyroscope systems versus external disturbances via Lyapunov rule-based fuzzy control is investigated. Taking the general nature of faults in the slave system into account, a new synchronization scheme, namely, fault tolerant synchronization, is proposed, by which the synchronization can be achieved no matter whether the faults and disturbances occur or not. By making use of a slave observer and a Lyapunov rule-based fuzzy control, fault tolerant synchronization can be achieved. Two techniques are considered as control methods: classic Lyapunov-based control and Lyapunov rule-based fuzzy control. On the basis of Lyapunov stability theory and fuzzy rules, the nonlinear controller and some generic sufficient conditions for global asymptotic synchronization are obtained. The fuzzy rules are directly constructed subject to a common Lyapunov function such that the error dynamics of two identical chaotic motions of symmetric gyros satisfy stability in the Lyapunov sense. Two proposed methods are compared. The Lyapunov rule-based fuzzy control can compensate for the actuator faults and disturbances occurring in the slave system. Numerical simulation results demonstrate the validity and feasibility of the proposed method for fault tolerant synchronization. ► Fault tolerant synchronization of chaotic gyroscope systems. ► Fault tolerant synchronization versus external disturbances. ► Design of the slave observer and the Lyapunov rule-based fuzzy control. ► Capability of extension to a variety of chaotic systems. ► Usefulness for practical applications in the future.