Safe bumpless transfer control for switched systems and its applications

This paper considers a bumpless transfer control design problem to guarantee the asymptotic stability with safety performance for switched systems. Firstly, for a switched system, the safety condition which is expressed as a common control barrier function (CCBF) is unified with the asymptotic stability condition which is expressed as a set of safety-based multiple control Lyapunov functions (SMCLFs) in the context of real-time optimization based controllers. Then, based on an average dwell time approach, the bumpless transfer controller is designed through constructing a CCBF and SMCLFs in the context of a quadratic program (QP). Finally, the mediation of the safety performance and the asymptotic stability performance through a QP is demonstrated on two examples.