6533b86dfe1ef96bd12ca8ab

RESEARCH PRODUCT

Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations

Ningsu LuoHamid Reza Karimi

subject

Exponential stabilityDynamical systems theoryControl theoryRobustness (computer science)Master/slaveRobust controlFault (power engineering)Fault detection and isolationSynchronizationMathematics

description

In this paper, the problem of robust synchronization and fault detection for a class of master-slave systems subjected to some nonlinear perturbations and mixed neutral and discrete time-varying delays is investigated based on an H ∞ performance condition. By introducing a descriptor technique, using Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities to synthesize the residual generation scheme. The explicit expression of the synchronization law is derived for the fault such that both asymptotic stability and a prescribed level of disturbance attenuation are satisfied for all admissible nonlinear perturbations. A numerical example with simulation results illustrates the effectiveness of the methodology.

https://doi.org/10.1109/systol.2010.5675956