Delay Independent Controller Design for Delayed Discrete Singular Systems with Input Saturation

This paper presents an innovative approach to address the issue of output tracking in discrete-time singular systems experiencing both actuator saturation and time delay. By introducing a novel non-switching controller, the proposed method simultaneously tackles the primary tracking problem and improves the transient performance. The control law consists of linear and nonlinear components. The linear part focuses on resolving the main tracking issue, while the nonlinear part aims to enhance the closed-loop system's performance. The stability of the closed-loop system is examined using the Lyapunov-Krasovskii approach which led to an LMI problem for determination of the controller's parameters. Additionally, the admissibility of the closed-loop system is explored through theorems to ensure its regularity and causality. The theoretical advancements are validated through computer simulations using an illustrative example.