Which event stabilized

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 statevector of the process to be stabilized. Document type : Conference papers.

Complete list of metadata Display. Identifiers HAL Id : hal, version 1. Theory and implementation of event-triggered stabilization over digital channels Abstract: In the context of event-triggered control, the timing of the triggering events carries information about the state of the system that can be used for stabilization.

At each triggering event, not only can information be transmitted by the message content data payload but also by its timing. We demonstrate this in the context of stabilization of a laboratory-scale inverted pendulum around its equilibrium point over a digital communication channel with bounded unknown delay.

Our event-triggering control strategy encodes timing information by transmitting in a state-dependent fashion and can achieve stabilization using a data payload transmission rate smaller than what the data-rate theorem prescribes for classical periodic control policies that do not exploit timing information. We propose an encoding-decoding scheme, and determine lower bounds on the packet size and on the information transmission rate which are sufficient for stabilization.

We show that for small values of the delay, the timing information implicit in the triggering events is enough to stabilize the system with any positive rate. In contrast, when the delay increases beyond a critical threshold, the timing information alone is not enough to stabilize the system and the transmission rate begins to increase. Finally, large values of the delay require transmission rates higher than what prescribed by the classic data-rate theorem.