We study discrete solutions of nonlinear optimal control problems. By value functions , we construct difference equations to approximate the optimal control on each interval of " small " time. We aim to find a discrete optimal feedback control. An algorithm is proposed for computing the solution of the optimal control problem. 1. Introduction and statement of the problem. For nonlinear analytic...

homogenous charge compression ignition (hcci) engines hold promise of high fuel efficiency and low emission levels for future green vehicles. but in contrast to gasoline and diesel engines, hcci engines suffer from lack of having direct means to initiate combustion. a combustion timing controller with robust tracking performance is the key requirement to leverage hcci application in production ...

This review article describes the design of static controllers that achieve an optimal tradeoff between closed-loop performance and controller structure. Our methodology consists of two steps. First, we identify controller structure by incorporating regularization functions into the optimal control problem and, second, we optimize the controller over the identified structure. For large-scale ne...