Analysis and parameter estimation of bilinear systems via generalized orthogonal polynomials

摘要: Abstract An effective method of using generalized orthogonal polynomials (GOP) for analysing and identifying the parameters a process whose behaviour can be modelled by bilinear equation is presented. The integration operational matrix product ti with GOP vector are derived. These two kinds matrices related to any type individual polynomial. By expanding state control functions into series GOP, converted set linear algebraic equations. expansion coefficients variables solved from these unknown evaluated least squares in conjunction polynomial expansion. Two examples given illustrate validity method. Very satisfactory results obtained.