Parameter identification via shifted Legendre polynomials
Rong‐Yeu Chang, Maw‐Ling Wang · International Journal of Systems Science · 1982
An operational matrix for the integration of the shifted Legendre vector whose elements are the shifted Legendre polynomial functions is developed and applied to the parameter identification of time invariant linear systems. By employing operational matrix of shifted Legendre polynomials to approach identification problem, the algorithms for computation are effective and straightforward, and the computational results are accurate, compared to other numerical values in the literature.