Synthesis identification analysis for closed loop system

• 作者: WANG Jianhong RICARDO A.Ramirez-Mendoza
• 来源期刊: 系统工程与电子技术（英文版）
• 年，卷（期）: 2021,（4）
• 所属期刊栏目: CONTROL THEORY AND APPLICATION
• 页码范围: 939-946
• 页数: 8页
• 语种: 英文
• DOI: 10.23919/JSEE.2021.000080

摘要

The existing theories for closed loop identification with the linear feedback controller are very mature. To apply the existed theories directly in the control field, we propose a new idea about replacing the original unknown and nonlinear feed-back controller with one approximated linear controller, while guaranteeing the equivalent property for the obtained closed loop system. Based on some statistical correlation functions, one condition is derived to show the equivalent property bet-ween the approximated linear controller and the original nonlin-ear controller. The detailed explicit form, corresponding to the approximated linear controller, is also constructed. Furthermore, to give a complete analysis for closed loop identification, the cost function is rewritten as one extended expression, being conveni-ent to understand. Then spectral estimation is introduced to identify the unknown plant in the closed loop system. Finally, the proposed theories are verified by one simulation example.