Memoryless feedback stabilization of linear systems with unknown input delay

This article considers the memoryless feedback stabilization of linear systems with unknown input delay. In order to accomplish this problem, we focus on systems without exponentially unstable poles, and by using the truncated predictor feedback (TPF) design technique, we propose a finite-dimensional control scheme to avoid the implementation problems that arise in typical infinite-dimensional control schemes. When the unknown delay is limited, the devised memoryless TPF controller can achieve global stabilization of the closed system. In the end, we verify the effectiveness of the control scheme with numerical example.