Abstract

This paper addresses the switching LPV techniques aiming to improve the control performance of a class of nonlinear systems that can be approximated by a family of linear parameter varying (LPV) models for the entire operation envelope. The proposed method provides a systematical strategy for the controller synthesis for such class system which can guarantee the global stability of the closed loop. The proposed method is further applied to the air path system of diesel engines which is critical for reducing the emissions. Due to its strong nonlinearity the working envelope of the air path system is divided into four subregions and in each subregion an LPV model is built. Accordingly, a gain scheduled LPV controller is synthesized for each nominal LPV model, the system is then regulated by hysteresis switching logic among a family of LPV controllers. The effectiveness of the proposed method is illustrated by simulations.

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