Non-regular static state feedback for linear bond graph models

Abstract

In this paper, non-regular static state feedback solutions of the row-by-row decoupling problem (RBRDP) with stability are investigated by the bond graph approach for the class of non-square linear models. More precisely, the aim is to study the problem of the non-regular static state feedback designing, firstly, when the model is not decouplable with a regular static state feedback and, secondly, when the model is decouplable with a regular static state feedback but not with stability. The bond graph methodology is used in order to characterize the structure of non-square models and the modification of the infinite structure that arises when a regular control law cannot exist. A new graphical methodology is proposed. Finally, when row-by-row decoupling with stability is possible for non-square bond graph models, a formal expression of the control is given using simultaneously the bond graph and the geometric approaches.