Throughput analysis and controller design of networked control systems over slotted ALOHA protocol

Abstract

The problem of integrated design of controller and communication parameter is investigated for networked control systems with a single channel over slotted ALOHA (S-ALOHA) protocol. It is assumed that the state of channel is described as a Markov chain. By exploiting a Lyapunov function with throughput for stochastic discrete linear time invariant systems, it is shown that linear time invariant systems can be stabilized with state feedback controllers with throughput. The contributions of this paper are twofold. First, the networked control system under S-ALOHA protocol is described as a stochastic discrete linear time invariant system. Second, the throughput of communication channel and the stability of networked control systems are considered simultaneously. Illustrative example is provided to show the usefulness of the developed results and the stability and controller related to throughput.