This paper provides an overview of recent results for relay-delay systems. In a first section, simple examples illustrate the problems induced by delays in the synthesis of sliding mode controllers. Then, a brief overview of the existing results shows the present advances and limits in this domain. The last parts of the paper are devoted to new results: first, for systems with state delay, then for systems with input delay.
['Jean-Pierre Richard', 'Frédéric Gouaisbaut', 'Wilfrid Perruquetti']
Sliding mode control in the presence of delay