Keynote Speaker #1 : Computational methods for optimal control problems governed by nonlinear switched systems

Switched Systems are hybrid dynamical systems that consist of a family of subsystems, together with a switching law that governs the order and times at which the system switches from one subsystem to another subsystem among available subsystems. Each of these subsystems can be described by difference equations or differential equations, and the switching law can be time-dependent switching or state-dependent switching. In this plenary talk, our focus is on the computational methods for solving the optimal control problems governed by nonlinear switched systems. These computational methods are developed based on some key ideas in optimal control computation, which include control parameterization, time-scaling transformation, and the constraint transcription method. For illustration, two real-world practical examples are discussed. In collaboration with Joint work with Volker Rehbock, Chongyang Liu, Zhaohua Gong, Qinqin Chai, Ryan Loxton, Qun Lin, Changjun Yu, Bin Li, Rui Li, Changzhi Wu, Honglei Xu and Bingo Wing-Kuen Ling.