An operational method of analysis using nonparametric impulse response models is proposed for the nonparametric analysis and design of feedback control systems. It is based on the algebra of convolution quotients, and represents common results such as closed-loop transfer functions in symbolic forms, which closely resemble those for conventional parametric analysis. In design applications, controllers are also expressed symbolically by means of convolution quotients. A deconvolution algorithm is proposed to compute the convolution quotients, and permits these symbolic forms to be evaluated and applied to nonparametric analysis and design.

1.
Erde´lyi, A., 1962, Operational Calculus and Generalized Functions, Holt, Rinehart and Winston, New York, NY.
2.
Kailath, T., 1980, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ.
3.
Kecs, W., 1982, The Convolution Product and Some Applications, D. Reidel, Boston, MA.
4.
MacCluer
C. R.
,
1988
, “
Stability From an Operational Viewpoint
,”
IEEE Trans. Automatic Control
, Vol.
AC-33
, pp.
458
460
.
5.
MacCluer
C. R.
, and
Chait
Y.
,
1990
, “
Obtaining Robust Stability Operationally
,”
IEEE Trans. Automatic Control
, Vol.
AC-35
, pp.
1350
1351
.
6.
Mikusin´ski, J., 1983, Operational Calculus, Vol. 1 (2nd ed.), Pergamon Press, New York; PWN-Polish Scientific Publishers, Warszawa.
7.
Mikusin´ski, J., and Boehme, T. K., 1983, Operational Calculus, Vol. 2 (2nd ed.), Pergamon Press, New York; PWN-Polish Scientific Publishers, Warszawa.
8.
Pan
J.
, and
Van de Vegte
J.
,
1991
, “
Computer-Aided Design of Control Systems Using Nonparametric Models
,”
Automatica
, Vol.
37
, pp.
865
868
.
This content is only available via PDF.
You do not currently have access to this content.