New decentralized control design for interconnected nonlinear discrete-time systems with nonlinear interconnections

This paper deals with a new decentralized
observer-based controller design method for nonlinear discretetime
interconnected systems with nonlinear interconnections.
Thanks to some algebraic transformations and the use of a
new variant of Young’s inequality, an LMI-based approach
is provided to compute the observer-based controller gain
matrices. Furthermore, the congruence principle is used under
a judicious and new manner leading to include additional slack
variables and to cancel some bilinear matrix coupling. The
effectiveness of proposed methodology is shown through an
illustrative example.