Department of Mechatronics Engineering, Science and Research Branch, Islamic Azad University, P.O. Box: 14515/775, Tehran, Iran.
ISA Trans. 2012 Jan;51(1):50-64. doi: 10.1016/j.isatra.2011.07.002. Epub 2011 Aug 24.
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.
本文研究了基于李雅普诺夫规则的模糊控制的容错同步混沌陀螺仪系统对外部干扰。考虑到从系统中的故障的一般性质，提出了一种新的同步方案，即容错同步，通过该方案可以实现同步，无论是否发生故障和干扰。通过使用从观测器和基于李雅普诺夫规则的模糊控制，可以实现容错同步。两种技术被认为是控制方法：经典的基于李雅普诺夫的控制和基于李雅普诺夫规则的模糊控制。基于李雅普诺夫稳定性理论和模糊规则，得到了非线性控制器和全局渐近同步的一些通用充分条件。模糊规则是直接根据一个共同的李雅普诺夫函数构建的，使得两个对称陀螺仪的相同混沌运动的误差动力学在李雅普诺夫意义上满足稳定性。比较了两种提出的方法。基于李雅普诺夫规则的模糊控制可以补偿从系统中发生的执行器故障和干扰。数值模拟结果验证了所提出的容错同步方法的有效性和可行性。
