Approximate optimal control of internal combustion engine test benches

This paper proposes the design of an optimal simultaneous control of speed and torque for dynamic internal combustion engine test bench by means of a dynamic extension to the state of the system which allows to avoid the explicit solution of the Hamilton-Jacobi-Bellman partial differential equation. To this end, a dynamic control law is firstly designed based on a simplified and approximate model of the test bench and then modified in order to cope with non-modeled dynamics and nonlinearities. The control is designed on this basis and its performance of the control law is tested and validated on an accurate simulator of the internal combustion engine test bench.