Stabilisation of non-uniformly sampled systems via dynamic output-feedback control

Stabilisation of sampled-data systems with time-varying and uncertain sampling periods via dynamic output-feedback controllers is considered. Extending the existing discrete-time approaches to the more general setup of output-feedback control, sufficient linear matrix inequalities conditions are developed for the design of linear, constant-parameter controllers. The applicability of the proposed design method is demonstrated through numerical examples, which also indicate improvement with regards to the other approaches.