Control Design for One Class of Linear Strictly Metzler Time-delay Systems

The paper presents one method from the field of Metzler linear time-delay systems, which is able to handle constraint complexity of the design condition, when synthesizing the state control law parameter for this class of systems. LMI-based algorithm variants are proposed in order to derive the controller matrix parameters that guarantee closed-loop system positive performance and stability under the proposed conditions of solvability. In this line of solution the approach reflect particular dynamics properties of the closed-loop system, when guaranteeing desired effects by adjustment of diagonal linear matrix variables. The interest of the contribution is to increase the efficiency and performance of the state control design for strictly Metzler linear time-delay systems. The feasibility of the proposed method is illustrated by the numerical example.