%0 Book Section %A Bemporad, Alberto %A Heemels, W.P.M.H. %A Lazar, Mircea %B Symposium on Circuits and Systems %C 30th May- 2nd June , 2010 %D 2010 %F eprints:426 %I IEEE %K hybrid system; linear system; nonlinear system; optimization based method; piecewise affine control law; real time control; control system synthesis; optimisation; predictive control %T On the synthesis of piecewise affine control laws %U http://eprints.imtlucca.it/426/ %X Piecewise affine (PWA) control laws offer an attractive solution to real-time control of linear, nonlinear and hybrid systems. In this paper we provide a compact exposition of the existing state-of-the-art methods for the synthesis of PWA control laws using optimization-based methods.