6533b86dfe1ef96bd12c9ebf

RESEARCH PRODUCT

Sliding mode exponential H<inf>∞</inf> synchronization of Markovian jumping master-slave systems with time-delays and nonlinear uncertainties

Hamid Reza Karimi

subject

symbols.namesakeNonlinear systemControl theorysymbolsMode (statistics)Markov processMaster/slaveSliding mode controlSynchronizationMathematicsExponential function

description

This paper investigates the problem of exponential H ∞ synchronization for a class of master-slave systems with both discrete and distributed time-delays, norm-bounded nonlinear uncertainties and Markovian switching parameters. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and a synchronization law which include the master-slave parameters are established for designing a delay-dependent mode-dependent sliding mode exponential H ∞ synchronization control law in terms of linear matrix inequalities. The controller guarantees the H ∞ synchronization of the two coupled master and slave systems regardless of their initial states. A numerical example is given to show the effectiveness of the method.

yearjournalcountryeditionlanguage
2011-12-01IEEE Conference on Decision and Control and European Control Conference
https://doi.org/10.1109/cdc.2011.6161267