Optimization of Control Lyapunov function using Sum-Of-Squares technic. Application to turbocharged diesel engine model

In this paper, we propose a new way to apply a Sum-Of-Squares technic for parameters calculation of Control Lyapunov function to achieve stabilization and optimal control. It permits to develop an optimization algorithm in order to improve the nonlinear optimal robust controller applied to diesel engine which is equipped by Exhaust Gas Recirculation and Variable Geometry Turbocharger. The idea is to develop an inverse optimal control and to verify different form of Lyapunov functions in order to obtain better control performance.