Summers, SeanJones, ColinLygeros, JohnMorari, Manfred2011-10-242011-10-24200910.1109/CDC.2009.5400583https://infoscience.epfl.ch/handle/20.500.14299/71926In this paper, an algorithm is introduced based on classical wavelet multiresolution analysis that returns a low complexity explicit model predictive control law built on a hierarchy of second order interpolating wavelets. It is proven that the resulting interpolation is everywhere feasible. Further, tests to confirm stability and to compute a bound on the performance loss are introduced. Since the controller approximation is built on a gridded hierarchy, the evaluation of the control law in real-time systems is naturally fast and runs in a bounded logarithmic time. A simple example is provided which both illustrates the approach and motivates further research in this direction.text::conference output::conference proceedings::conference paper