Remarks on strong stabilization and stable H∞ controller design

Abstract

A state space based design method is given to find strongly stabilizing controllers for multi-input-multi-output plants (MIMO). A sufficient condition is derived for the existence of suboptimal stable H∞ controller in terms of linear matrix inequalities (LMI) and the controller order is twice that of the plant A new parameterization of strongly stabilizing controllers is determined using linear fractional transformations (LFT).