A polytopic system approach for the hybrid control of a diesel engine using VGT/EGR

This paper develops a hybrid/gain scheduled controller for moving the state of a diesel engine through a driving profile represented as a sequence of operating points in the seven-dimensional state space of a mean value breathing nonlinear engine state model. The calculations for the control design arc based on a third-order (reduced) model of the diesel engine, on whose state space the operating points art, projected. About each operating point, we generate a third-order nonlinear error model in polytopic form. Using the polytopic error model at each operating point, a control design is set forth as a system of LMIs. The solution of each system of LMIs produces a norm bounded controller guaranteeing that x(i-1)(d) -> x(i)(d) where x(i)(d) is the ith desired operating point in the three-dimensional state space. The control performance is then evaluated on the seventh order model.