Model Predictive Control based on FSP-ADT Switching Sequence Constraint

In this paper, we study the contractive set and model predictive control (MPC) problems for discrete-time switched linear systems, where the switching signals are under the constraint of fixed starting point average dwell time (FSP-ADT). The calculation method for terminal contractive set which is regarded as the terminal constrained set of the MPC problem is given. In addition, the algorithms and properties of all truncated FSP-ADT switching sequences in the predictive time domain are provided. From the perspective of the stability of the closed-loop switched system, what the terminal cost function should satisfy with regard to performance index are presented. Finally, the feasibility and the effectiveness of the proposed calculation method is proved by reliable numerical simulations.