Nonlinear strong model matching

Author

Di Benedetto, M.D.

Author_Institution

Dipartimento di Inf. & Sistemistica, Roma Univ.

Volume

35

Issue

12

fYear

1990

fDate

12/1/1990 12:00:00 AM

Firstpage

1351

Lastpage

1355

Abstract

The problem of matching a given input-output behavior for systems described by general nonlinear differential equations is considered. It is shown that, by appropriately modifying the zero-dynamics algorithm, it is possible to obtain a simple, necessary, and sufficient condition for the solvability of the model matching problem, which requires that the initial state be on an appropriate submanifold of the state space. Another condition necessary and sufficient for the solvability of the strong model matching problem is proposed. This last condition is then related to an equality of a list of integers which, under some regularity assumptions, coincide with the algebraic structures at infinity of the process and of a composition of the process and the model. The relation between these conditions and the equality of the algebraic structures at infinity of the process and the model is established

Keywords

nonlinear differential equations; nonlinear systems; state-space methods; algebraic structure equality; model matching; nonlinear differential equations; solvability; state space; zero-dynamics algorithm; Automatic control; Differential equations; H infinity control; Impedance matching; Linear systems; Nonlinear systems; Process control; Solid modeling; State-space methods; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.61014

Filename

61014