Design of High-Gain-Observer-Based State Feedback Controller for Positive Time-Delay System

摘要

This paper investigates the stabilizability of positive time-delay system. The nonnegative constraint makes the design of a control law different from a general system. Firstly, a method to calculate the$L_{1}$gain of a positive time-delay system is presented. Then, the design of a state feedback controller and a high-gain observer is presented by taking full advantage of the characteristics of the positiveness of the system. Finally, the observer and feedback controller are combined to stabilize the system and improve dynamic performance. A numerical example illustrates the provided method is effective.