6533b7ddfe1ef96bd12751a0

RESEARCH PRODUCT

An Output Feedback Control Design for $$ {\rm H}_\infty $$ Synchronization of Master-Slave Markovian Jump Systems with Time-Varying Delays

Hamid Reza Karimi

subject

Output feedbackMarkovian jumpComputer scienceControl theorySynchronization (computer science)Control (management)Linear matrix inequalityMaster/slaveMarkovian switching

description

In this chapter, an output feedback control proach is proposed for exponential synchronization problem of master slave systems with both discrete and distributed time-varying delays 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 mode-dependent output feedback control law in terms of linear matrix inequalities. The controller guarantees the \( {\rm{H}}_\infty \) 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
2012-01-01
https://doi.org/10.1007/978-3-642-29329-0_3