Dissipativity based stability criterion for aperiodic sampled-data systems subject to time-delay

International audienceThis extended abstract presents a dissipativity-based stability analysis of Linear Time Invariant (LTI) systems subjected to aperiodic sampling and time-varying delay. We provide a novel stability criterion which aids in making the trade-offs between maximum allowable sampling interval and delays while guaranteeing stability. Simulation results have been provided to demonstrate the effectiveness of the proposed criterion

Tutorial on arbitrary and state-dependent sampling

International audienceThis tutorial, presents basic concepts and recent research directions about sampled-data systems. We focus mainly on the stability of systems with time-varying sampling intervals. Without being exhaustive, which would be neither possible nor useful, we try to give a structural survey of what we think to be the main results and issues in this domain

On the stability of input-affine nonlinear systems with sampled-data control

International audienceThis paper is dedicated to the stability analysis of nonlinear sampled-data systems, which are affine in the input. Assuming that a stabilizing continuous-time controller exists and it is implemented digitally, we intend to provide sufficient asymptotic/exponential stability conditions for the sampled-data system. This allows to find an estimate of the upper bound on the asynchronous sampling periods. The stability analysis problem is formulated both globally and locally. The main idea of the paper is to address the stability problem in the framework of dissipativity theory. Furthermore, the result is particularized for the class of polynomial input-affine sampled-data systems, where stability may be tested numerically using sum of squares decomposition and semidefinite programming