Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations
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.
KeywordsFault detection master-slave systems nonlinear perturbation synchronization time-delay
- R. J. Patton, P. M. Frank, and R. N. Clark, Issues of Fault Diagnosis for Dynamic Systems, Springer, Verlag, Berlin, 2000.Google Scholar
- H. R. Karimi, “Observer-based mixed H 2/H ∞ control design for linear systems with time-varying delays: An LMI approach,” Int. J. Control, Automation, and Systems, vol. 6, no. 1, pp. 1–14, 2008.Google Scholar
- S. X. Ding, M. Zhong, B. Tang, and P. Zhang, “An LMI approach to the design of fault detection filter for time-delay LTI systems with unknown inputs,” Proc. American Control Conference, pp. 2137–2142, 2001.Google Scholar
- B. Jiang, M. Staroswiecki, and V. Cocquempot, “Fault identification for a class of time-delay systems,” Proc. American Control Conference, pp. 2239–2244, 2002.Google Scholar