Robust control design for a two-compartment drug administration model

Abstract

In a recent paper [1], Lee and Leitmann considered a two-compartment drug administration model with bounded uncertainty appearing in the system parameters and with the so-called “matching conditions” not satisfied. They employed the control proposed by Barmish and Leitmann [10] to bring the drug concentration level of compartment R from any initial value to the desired, predetermined level and then to maintain it in a calculable neighborhood of that level thereafter until the end of the specified period. In this article, we propose a robust, stabilizing control for the same model and for the same purpose without having to satisfy the so-called mismatch threshold conditon of Barmish and Leitmann [10].