Simultaneous Hα control for continuous-time descriptor systems

This study addresses the simultaneous H_∞ control problem for continuous-time descriptor systems, namely, a single controller is sought to stabilise a collection of descriptor systems with a prescribed H_∞ norm. First, this problem is transformed equivalently to the strong H_∞ stabilisation problem of an augmented system. Then, a sufficient condition of the existence of strongly admissible H_∞ controllers is proposed in terms of strict linear matrix inequalities. Finally, numerical examples are presented to show the effectiveness of the proposed method.