Protocol sequence-based control of networked systems

In this paper, we investigate simultaneous stabilization of a collection of networked control systems (NCSs) with limited communication capacity. A promising network access scheduling policy is presented based on the most regular binary sequence (MRBS). It is given by a simple generating function, which provides a concise analytical rule for managing limited communication channels. The set of controllers to be designed have piece-wise constant gains that are dependent on the MRBS. By introducing a piecewise Lyapunov functional and using average dwell time technique, a sufficient condition on the existence of MRBS is given. Then, a systematic codesign methodology for such MRBSs and the controllers is established, which guarantees simultaneous stabilization of the collection of NCSs. A numerical example is given to demonstrate the effectiveness of the protocol sequence-based codesign method.