ℓ1-induced output-feedback control for uncertain discrete-time positive systems

In this article, the output-feedback stabilization problem is investigated for discrete-time interval uncertain positive systems under the ℓ₁ performance. First, we propose some conditions expressed by linear programming to ensure the asymptotic stability and the ℓ₁ performance for given positive systems. Then, we establish a novel design approach and an iterative algorithm to obtain the desired output-feedback controller for interval uncertain positive systems. To demonstrate the efficiency of the proposed controller design method, we provide a numerical example.