Protocol sequence-based control of cyber-physical systems

We investigate the simultaneous stabilization of a set of subsystems controlled by a remote computer in a cyber-physical system (CPS) framework. Due to capacity limitation and energy restriction, at any time only a subset of N subsystems are allowed to be attended by the cyber controller. To establish a promising scheduling policy regulating the allocation of the controller attention to the subsystems, we use binary protocol sequences to model the allocation procedure. Taking advantage of the protocol sequences and considering the packet loss effects in the channel, we establish sufficient conditions guaranteeing simultaneous stabilization of the group of subsystems. Most excitedly, a systematic methodology for the scheduling and controller co-design is established, which supplies a constructive and easily applicable co-design tool for lifted most regular binary sequences (7-MRBSs) and state feedback controllers. The theory and the results are built on the Lyapunov function method and the average dwell time techniques. A numerical example is given to demonstrate the effectiveness of the protocol sequence-based co-design method.