Brief paper: Stability analysis of systems with aperiodic sample-and-hold devices
Automatica (Journal of IFAC)
Brief paper: A state-feedback approach to event-based control
Automatica (Journal of IFAC)
Brief paper: A refined input delay approach to sampled-data control
Automatica (Journal of IFAC)
Comparison of overapproximation methods for stability analysis of networked control systems
Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
Brief paper: An ISS self-triggered implementation of linear controllers
Automatica (Journal of IFAC)
Controller synthesis for networked control systems
Automatica (Journal of IFAC)
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
Automatica (Journal of IFAC)
Hi-index | 22.14 |
In this work, a new state-dependent sampling control enlarges the sampling intervals of state feedback control. We consider the case of linear time invariant systems and guarantee the exponential stability of the system origin for a chosen decay rate. The approach is based on LMIs obtained thanks to sufficient Lyapunov-Razumikhin stability conditions and follows two steps. In the first step, we compute a Lyapunov-Razumikhin function that guarantees exponential stability for all time-varying sampling intervals up to some given bound. This value can be used as a lower-bound of the state-dependent sampling function. In a second step, an off-line computation provides a mapping from the state-space into the set of sampling intervals: the state is divided into a finite number of regions, and to each of these regions is associated an allowable upper-bound of the sampling intervals that will guarantee the global (exponential or asymptotic) stability of the system. The results are based on sufficient conditions obtained using convex polytopes. Therefore, they involve some conservatism with respect to necessary and sufficient conditions. However, at each of the two steps, an optimization on the sampling upper-bounds is proposed. The approach is illustrated with numerical examples from the literature for which the number of actuations is shown to be reduced with respect to the periodic sampling case.