Journal of shanghai Jiaotong University (Science) ›› 2016, Vol. 21 ›› Issue (2): 159-163.doi: 10.1007/s12204-016-1707-2

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Recursive Least Squares Algorithm for a Nonlinear Additive System with Time Delay

Recursive Least Squares Algorithm for a Nonlinear Additive System with Time Delay

CHEN Jing1,2* (陈晶), WANG Xiuping2 (王秀平)   

  1. (1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; 2. Wuxi Professional College of Science and Technology, Wuxi 214028, Jiangsu, China)
  2. (1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; 2. Wuxi Professional College of Science and Technology, Wuxi 214028, Jiangsu, China)
  • Online:2016-04-15 Published:2016-04-26
  • Contact: CHEN Jing (陈晶) E-mail:chenjing1981929@126.com

Abstract: This paper proposes a recursive least squares algorithm for a nonlinear additive system with time delay. By the Weierstrass approximation theorem and the key term separation principle, the model can be simplified as an identification model. Based on the identification model, a recursive least squares identification algorithm is used to estimate all the unknown parameters of the time-delayed additive system. An example is provided to show the effectiveness of the proposed algorithm.

Key words: parameter estimation| recursive least square algorithm| Weierstrass approximation theorem| key term separation principle| additive system

摘要: This paper proposes a recursive least squares algorithm for a nonlinear additive system with time delay. By the Weierstrass approximation theorem and the key term separation principle, the model can be simplified as an identification model. Based on the identification model, a recursive least squares identification algorithm is used to estimate all the unknown parameters of the time-delayed additive system. An example is provided to show the effectiveness of the proposed algorithm.

关键词: parameter estimation| recursive least square algorithm| Weierstrass approximation theorem| key term separation principle| additive system

CLC Number: