Event-based stabilizing controller using a state observer

In order to reduce communication in network control systems, it is of great interest to be able to synthesize event-triggered control laws from continuous-time controls. This work proposes a new rule to design event-based stabilizing controllers for linear systems. More precisely, based on a given reference system, a state observer, and a quadratic Lyapunov-like function, an event-based sampling algorithm has been designed. In this framework, the stability and the convergence rate of the controlled system towards its steady state depend on the dynamical properties of the reference system and the state observer and the used feedback gain. In addition, the event-triggering condition does not require the knowledge of the state vector of the process to be stabilized.