A convex approach for the robust static output feedback stabilization of LTI systems based on dissipativity theory

In this work, we propose a new approach for the robust static output feedback (SOF) stabilization of linear time-invariant (LTI) systems with transient performance. Recently published non-convex necessary and sufficient conditions for the SOF stabilizability of LTI systems are leveraged to obtain sufficient convex conditions which have the benefit of being numerically tractable. Here, we propose an adaption to a recently developed iterative algorithm to obtain sufficient linear matrix inequalities (LMIs) conditions that are conveniently solved using SDP tools. Numerical examples highlight that the proposed strategy leads to better results in terms of a numerical comparison with the most recent developments in the literature