Design of optimal switching surfaces for switched autonomous systems

Abstract— This paper presents a novel, computationally feasible procedure for computing optimal switching surfaces, i.e. optimal feedback controllers for switched autonomous nonlinear systems. The systems under consideration are regulated by appropriately scheduling their operation modes. Given a finite mode sequence, the control task requires to determine switching surfaces, which implicitly encode the optimal switching times for a family of trajectories emerging from a prespecified initial state set. Optimality of the switching times is assessed according to a nonlinear performance criterion.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Axel Schild, Xu Chu Ding, Magnus Egerstedt, Jan Lunze
• Keywords: CDC 2009, Control Systems, Optimal Switching, Optimal Switching Surfaces, Switching Times