Input-output Energy Decoupling Control for Linear Neutral Time-delay Systems

This paper presents an input-output energy decoupling method for linear neutral time-delay systems. It is an approximate decoupling method, under which the energy of every input controls mainly the energy of a corresponding output and influences the energy of other outputs as weakly as possible. The decoupling performance of this method is a compromise between the dynamic decoupling and the static decoupling. By Lyapunov-Krasovskii functions, and applying the LMI technology, this paper gives a sufficient condition for existence of input-output energy decoupling control for linear neutral time-delay systems in the form of matrix inequalities and provides the design of input-output energy decoupling controller for the kind of systems. A numerical example shows the potential of the method proposed in this paper