A Non-Iterative LMI-Based Design of Static Output Feedback Control with L2 Gain Performance for Linear Systems

In this paper, we present a new LMI-based noniterative design strategy for static output feedback controllers with L2 Gain Performance for linear systems. In our approach, on the basis of the well-known necessary and sufficient condition for the existence of the static output feedback control for linear systems, the non-iterative LMI-based design procedure for the proposed static output feedback controller is derived. In this paper, we show the LMI-based non-iterative design procedure for static output feedback controllers with L2 Gain Performance and the effectiveness of the proposed static output feedback control is presented through a simple illustrative example. Index Terms—static output feedback control, L2 Gain Performance, non-iterative design, LMIs.