Event-triggered state feedback control for Markovian jump interconnected systems with unknown interconnections

The event-triggered control scheme for Markov jump interconnected systems with unknown interconnections and general transition rates are studied. An event-triggered mechanism is introduced to save communication resources. To overcome the influence of external disturbances, a mode-dependent state feedback controller is designed. The cyclic-small-gain condition is used to handle unknown interconnections so that stability conditions are obtained for the closed-loop systems with H
∞
performance. By introducing a relaxation matrix to handle nonlinear problems caused by unknown and uncertain transition rates in control systems, the controller design condition is described using linear matrix inequalities. Finally, the effectiveness of the results is verified via a numerical example.