A hybrid approach to parameter identification of linear delay differential equations involving multiple delays

作者：Marzban Hamid Reza^*

来源：International Journal of Control, 2018, 91(5): 1034-1052.

DOI：10.1080/00207179.2017.1304575

• Parameter identification
• block-pulse functions
• Legendre's polynomials
• hybrid functions
• multi-delay systems
• least squares technique

In this paper, we are concerned with the parameter identification of linear time-invariant systems containing multiple delays. The approach is based upon a hybrid of block-pulse functions and Legendre's polynomials. The convergence of the proposed procedure is established and an upper error bound with respect to the L-2-norm associated with the hybrid functions is derived. The problem under consideration is first transformed into a system of algebraic equations. The least squares technique is then employed for identification of the desired parameters. Several multi-delay systems of varying complexity are investigated to evaluate the performance and capability of the proposed approximation method. It is shown that the proposed approach is also applicable to a class of nonlinear multi-delay systems. It is demonstrated that the suggested procedure provides accurate results for the desired parameters.

• 出版日期2018