Title :
Nonlinear strong model matching
Author :
Di Benedetto, M.D.
Author_Institution :
Dipartimento di Inf. & Sistemistica, Roma Univ.
fDate :
12/1/1990 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on