A novel stability criterion and precise control for linear time delay systems based on regional configuration of the poles.

Autor: Zhang, Huasheng, Li, Yuanen, Xie, Xiangpeng, Xia, Jianwei
Předmět:
Zdroj: ISA Transactions; May2024, Vol. 148, p349-357, 9p
Abstrakt: This paper presents the concept of region stability and provides criteria for region stability of linear time delay systems, which can reveal the dynamic and steady-state performance of the systems more precisely. Corresponding design schemes for stabilization and tracking control that can accurately control various performance of time delay systems have also been explored. First, in the light of the connection between the poles and the dynamic properties of the system, the concept of region stability is given to describe the finer dynamic behavior of time delay systems. The criteria for the region stability are also presented. Second, the region stabilization methods are investigated, which can ensure that the system satisfies a certain dynamic performance by setting the eigenvalues in a certain convex region. Third, a precise tracking control of the linear time delay systems is addressed as an application of region stabilization. It can control the steady state performance and transient response of the tracking signal more precisely. Finally, three instances are provided to display the superiority of the new method for the performance indexes of the linear time delay systems. • The region stability criteria are proposed that reflect more performance of systems. • Precise controllers according to different requirements are provided. • Convergent rate of the linear time delay systems can be controlled effectively. • A precise tracking control approach is addressed as an application. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index