ℓ1-induced Performance Analysis and State-Feedback Control for positive 2-D Roesser system

摘要

In this paper, the problem of state-feedback controller is investigated for positive 2-D Roesser systems under $ell_{1}$-induced performance. Firstly, A necessary and sufficient condition for asymptotic stability and $ell_{1}$-induced performance of positive 2-D system is proposed in terms of linear inequalities. Based on this, a necessary and sufficient condition for the existence of desired state-feedback controllers is derived, firstlynovel and an iterative convex optimization approach is developed to solve the condition. Finally, the theoretical results are illustrated through a numerical example.