The determination of transfer functions from state variable models

✍ Scribed by M.J. Bosley; H.W. Kropholler; F.P. Lees; R.M. Neale

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 369 KB
• Volume: 8
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(72)90070-2

✦ Synopsis

Sununary--Numerical difficulties which arise in the determination of zeroes in a transfer function by DAVISON'S [2] method are discussed. The results are compared with a method presented by MORGAN [4] and a modified form of the Leverrier algorithm is presented which has been found satisfactory for matrices whose elements differ by several orders of magnitude.

Notation

A n × n plant matrix, B n × k forcing function matrix, C n×m matrix, C~ n × n matrix, E n × n error matrix, G(s) transfer function matrix,

Gtj(s) transfer function, h~ coefficients of characteristic equation of A,

I identity matrix, p, s Laplace operator, T,~ n × n matrix, t~ coefficients of characteristic equation of A-l, u vector of forcing functions of order p, x vector of state variables, x(0) vector of initial conditions of x, x(s) vector of transfer functions of x, w constant.

Greek letters

F constant.