|
|||||
|
|
Parameter estimation for time-delay systems based on the frequency responses and harmonic balance methods |
|
| Authors: | Jiayao Ni Ling Xu Feng Ding Ya Gu Ahmed Alsaedi Tasawar Hayat |
| Affiliation: | 1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi, PR China;2. School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu, PR China;3. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia |
| Abstract: | Two parameter estimation methods for linear time-delay systems are proposed based on the frequency responses and the harmonic balance methods. One is the stochastic gradient gradient-based iterative (SG-GI) algorithm and the other is the recursive least squares gradient-based iterative (RLS-GI) algorithm. These two methods can estimate the unknown parameters and the unknown time delays simultaneously by giving sinusoidal signals with different angular frequencies. Furthermore, a comparative study reveals that the RLS-GI algorithm is more effective than the SG-GI algorithm. The effectiveness of the proposed algorithms is illustrated by a numerical example. |
| Keywords: | frequency response gradient search least squares parameter estimation time-delay system |