Efficient Pruning of Search Trees in LQR Control of Switched Linear Systems

In English This paper considers off-line optimization of a switching sequence fora given finite set of linear control systems and joint optimization ofcontrol laws. A linear quadratic full information criterion isoptimized and dynamic programming is used to find the optimalswitching sequence and control laws. The main result is a method for efficient pruning of the search tree to avoid combinatoric explosion.A method to prove optimality of a found candidate switch sequence and corresponding control laws is presented.