Stabilization of state-derivative feedback control with time delay

作     者：Wiboonjaroen, Witchupong Sujitjorn, Sarawut 

作者机构：Department of Electronic Engineering Rajamangala University of Technology Isan Isan Thailand Control and Automation Research Unit Power Electronics Machines and Control Research Group School of Electrical Engineering Suranaree University of Technology Thailand 

出 版 物：《Research Journal of Applied Sciences, Engineering and Technology》 (Res. J. Appl. Sci. Eng. Technol.)

年 卷 期：2012年第4卷第18期

页      面：3201-3208页

核心收录：

学科分类：0711[理学-系统科学] 12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 0811[工学-控制科学与工程] 0701[理学-数学] 

主　　题：Time delay 

摘      要：This study considers the problem of state-derivative feedback controller design via eigenvalue assignment for LTI systems of linear Delay Differential Equations (DDEs) with a single delay. Unlike simple LTI systems, the systems described by DDEs have an infinite eigenspectrum and it is not feasible to assign all closed-loop eigenvalues. The paper proposes a method to assign a critical subset of them using an approach of the matrix Lambert W function. The solution has an analytical form expressed in terms of the parameters of the DDE. With the proposed method, one can extend a conventional eigenvalue assignment method for a feedback controller to a delayed LTI system. A scheme including filtered state-derivative feedback is proposed to overcome the destabilizing effect of feedback delays. Proofs of the proposed method and numerical examples are presented. © Maxwell Scientific Organization, 2012.