Output feedback overlapping control design of interconnected systems with input saturation

Abstract

In this paper, we establish new results to the problem of output feedback control design for a class of nonlinear interconnected continuous-time systems subject to input saturation. New schemes based on overlapping design methodology are developed for both static and dynamic output feedback control structures. The theoretical developments are illustrated by numerical simulations of a linearized nuclear power plant model.

Decentralized Controller Robustness Improvement Using Longitudinal Overlapping Decomposition - Application to Web Winding System

“…The expanded problem of the expanded non overlapped system is given by (18), where the cost function is any initial state 0 X of ( , ) S J and any fixed input ( ) U t , we have:…”

“…The last conditions are used to expand the overlapped system into a larger non overlapped system; it can be decomposed into two subsystems. To ensure that the dynamic of subsystems didn't change after decomposition, it is necessary to ensure that the interconnection terms are negligible [18]. By applying the condition given by (34) and (35) to the overlapped web winding system; we find that the expanded system is strongly connected, thus, interconnection terms can't be neglected.…”