Abstract

This paper develops a gain scheduled controller to move a diesel engine through a driving profile represented as a set of 6 operating points in the state space of a 7th order nonlinear state model. The calculations for the control design are based on a 3rd order(reduced) model of the Diesel engine on which state space are projected the 6 operating points. About each operating point, we generate a 3rd order nonlinear error models of the Diesel engine. Using the error model for each operating point, a linear feedback control is computed as a solution to a set of LMIs. The solution of each system ofLMIs produces a norm bounded controller guaranteeing that xi−1d→xid where xid is the ith desired operating point in the 3-dimensional state space. The LMIs incorporate a term which requires that xi−1d be in the region of attraction of xid. The gain scheduled controller performance is evaluated on the 7th order model.

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