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 are based on a third-order (reduced) model of the diesel engine, on whose state space the operating points are 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 $xi−1d→xid$ where $xid$ is the $ith$ desired operating point in the three-dimensional state space. The control performance is then evaluated on the seventh order model.