Parameterization of time-delayed systems based on passivity and LMI approach

Abstract

Time delay systems (TDS), in many signals are known as dead time processes (DTP). Delays are encountered them in different branches in control fields, such as chemical engineering systems, lag transportations, product manufactories, robotics, telecommunications, biosystems, underwater vehicles and so on [1, 2, 3]. Time delay systems are difficult to deal with, because the presence of delays may cause the system to be unstable or at least it degrades the performance of the control system. Delays in the systems may produce a decrease in the system’s phase and it imposes more restrictions and constraints on the system analysis and controller's design [2]. For these reasons and others the control issues of the time delay systems are one of the most important fields that attracted the attention of many engineers and researches. In 1957, the Smith predictor was developed to handle system’s delays; however, it …