15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
A POLYTOPIC SYSTEM APPROACH FOR GAIN SCHEDULED CONTROL OF A DIESEL ENGINE
S. Bengea    R. DeCarlo    M. Corless⊥⊥    G. Rizzoni*    Steve Yurkovich*
School of ECE, ⊥⊥ School of AAE, Purdue University, West Lafayette, IN, 47907-1285
* Center for Automotive Research, The Ohio State University, Columbus, Ohio

This paper develops a gain scheduled control 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, a 3rd order nonlinear error model of the Diesel engine is generated. 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 of LMIs produces a norm bounded controller guaranteeing that the state of the diesel engine is driven from one operating point to the next one in the sequence. The gain scheduled controller performance is evaluated on the 7th order model.
Keywords: Engine Control, Nonlinear Control Systems, Lyapunov Methods, Automotive Control, Point-to-point control, Piecewise Linear Controllers, Linear Matrix Inequalities
Session slot T-We-M05: Control of Automotive Powertrains/Area code 8b : Automotive Control