This book considers the development of new analysisand control techniques for special classes of hybridsystems: piecewise affine systems andmax-plus-linear systems. Among different existing control methods we chose the optimal controlframework and its receding horizon implementation referred to as model predictive control. We derivedan efficient solution to a class of finite-horizonrobust optimal control problems for constrained max-plus-linear systems based on convexity of theunderlying optimization problem. Using the optimalcontrol framework, novel model predictive control schemes are designed for piecewise affine andmax-plus-linear systems that make use of theirspecial structure and that incorporate conditions toguarantee a priori closed-loop asymptotic stability.
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Ion Necoara received the M.Sc. degree (2002) in Optimizationand Statistics from University of Bucharest, and the PhDdegree (2006) in Applied Sciences (cum laude) from Delft Universityof Technology. His main research interests are optimization anddistributed methods for large-scale problems with applications insystems and control.
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