Nonsmooth Control Theory and Its Applications to High Precision Powertrain Control

针对一类具有静摩擦和切换现象等不连续性的非线性系统，基于微分方程的Filippov求解框架，提出了一种系统的镇定和L2增益控制的分析与综合方法，并将其应用于扰动抑制性能的评估.此外，所提出的方法被应用到汽车发动机和混合动力系统。文中还讨论了转矩产生和功率传递等高精度控制问题，并在一台商用发动机上进行了实验验证，为工业基础技术的发展做出了贡献。

This research focused on a class of nonlinear systems with discontinuities such as static friction and switching phenomenon etc. For the targeted systems, a systematic analysis and synthesis methodology of stabilization and L2-gain control, which usually used to evaluate the disturbance rejection performance, is developed based on the Filippov solution framework for the differential equations. Moreover, the proposed method is applied to the automotive engines and hybrid powertrain systems. Some high precision control problems such as torque generation and power transmission are addressed, and experimental validation conducted on a commercial used engine is provided in order to contribute to the industrial fundamental technology.