Optimal switching surface design for switching LPV control and its application to air-fuel ratio control of an automotive engine

This paper formulates and solves the problem of optimizing switching surfaces (SSs) in switching LPV (SLPV) controller design to further enhance the control performance. The conditions for the SLPV controller synthesis under fixed SSs are first presented, which involves a finite number of linear matrix inequalities. The SS design problem is then formulated as an optimization problem where the cost function is evaluated by solving problems of SLPV controller synthesis under fixed SSs. An algorithm based on particle swarm optimization (PSO) is proposed to solve the SS design problem. The effectiveness of the proposed method is demonstrated on the air-fuel ratio control of a spark ignition engine in automobiles.