7 research outputs found
Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach
This paper deals with an event-triggered boundary control of
constant-parameters reaction-diffusion PDE systems. The approach relies on the
emulation of backstepping control along with a suitable triggering condition
which establishes the time instants at which the control value needs to be
sampled/updated. In this paper, it is shown that under the proposed
event-triggered boundary control, there exists a minimal dwell-time
(independent of the initial condition) between two triggering times and
furthermore the well-posedness and global exponential stability are guaranteed.
The analysis follows small-gain arguments and builds on recent papers on
sampled-data control for this kind of PDE. A simulation example is presented to
validate the theoretical results.Comment: 10 pages, to be submitted to Automatic
Periodic event-triggered control of nonlinear systems using overapproximation techniques
\u3cp\u3eIn event-triggered control, the control task consisting of sampling the plant's output and updating the control input is executed whenever a certain event function exceeds a given threshold. The event function typically needs to be monitored continuously, which is difficult to realize in digital implementations. This has led to the development of periodic event-triggered control (PETC), in which the event function is only evaluated periodically. In this paper, we consider general nonlinear continuous event-triggered control (CETC) systems, and present a method to transform the CETC system into a PETC system. In particular, we provide an explicit sampling period at which the event function is evaluated and we present a constructive procedure to redesign the triggering condition. The latter is obtained by upper-bounding the evolution of the event function of the CETC system between two successive sampling instants by a linear time-invariant system and then by using convex overapproximation techniques. Using this approach, we are able to preserve the control performance guarantees (e.g., asymptotic stability with a certain decay rate) of the original CETC system.\u3c/p\u3
Periodic event-triggered control of nonlinear systems using overapproximation techniques
In event-triggered control, the control task consisting of sampling the plant's output and updating the control input is executed whenever a certain event function exceeds a given threshold. The event function typically needs to be monitored continuously, which is difficult to realize in digital implementations. This has led to the development of periodic event-triggered control (PETC), in which the event function is only evaluated periodically. In this paper, we consider general nonlinear continuous event-triggered control (CETC) systems, and present a method to transform the CETC system into a PETC system. In particular, we provide an explicit sampling period at which the event function is evaluated and we present a constructive procedure to redesign the triggering condition. The latter is obtained by upper-bounding the evolution of the event function of the CETC system between two successive sampling instants by a linear time-invariant system and then by using convex overapproximation techniques. Using this approach, we are able to preserve the control performance guarantees (e.g., asymptotic stability with a certain decay rate) of the original CETC system