Adaptive fuzzy control for synchronization of nonlinear teleoperators with stochastic time-varying communication delays

In this paper, adaptive fuzzy control is investigated for nonlinear teleoperators with time-delays, which ensures synchronization of positions and velocities of the master and slave manipulators, and does not rely on the use of the scattering transformation. Compared with previous passivity framework, the communication delays are assumed to be stochastic time varying. By feedback linearization, the nonlinear dynamics of the tele-operation system is transformed into two sub systems: local master/slave position control with unmodelled dynamics and delayed motion synchronization. Then, based on linear matrix inequalities (LMI) and Markov jump linear systems, adaptive fuzzy control strategies are developed for the nonlinear teleoperators with time-delay, modeling uncertainties and external disturbances by using the approximation property of the fuzzy logic systems. It is proven that the master-slave tele operation system is stochastically stable in mean square under specific LMI conditions, and all the signals of the resulting closed-loop system are uniformly bounded.