Control and resource allocation of cyber‐physical systems

Abstract

The authors investigate the problem of control and channel resource allocation of a set of plants controlled by a remote computer in a cyber-physical system framework via a wireless network. Owing to capacity limitation, at any time only a subset of plants are allowed to be attended by the cyber controller while others must wait. To establish a promising scheduling policy regulating the allocation of the controller attention to the plants, they use binary sequences to model the allocation procedure. Taking advantage of the binary sequences and considering the packet loss effects in the channel, they establish sufficient conditions guaranteeing simultaneous stabilisation of the collection of systems. Most excitedly, a systematic methodology for the scheduling and controller co-design is established, which supplies a constructive and easily applicable design tool for most regular binary sequences and state-feedback controllers for the collection of plants. The theory and the results are built on the piecewise Lyapunov function method and the average dwell time techniques. A numerical example and laboratory experiment results are given to demonstrate the effectiveness of the binary sequences sequence-based co-design method.