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| Titel: |
Output regulator problem of time-invariant discrete-time descriptor systems |
| Auteur: |
Fuchs, A. Lovass-Nagy, V. Mukundan, R. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 46 (1987) nr. 6 pagina's 2065-2074 |
| Jaar: |
1987-12-01 |
| Inhoud: |
Linear time-invariant discrete-time systems of the form Exk+1 = Axk+ Buk, yk = Cxt are considered where E and A are square matrices and E may be singular. The investigations are restricted to systems for which there exist non-singular matrices Π and Θ such that ΠEΘ = diag {lr, 0} and ΠAΘ= equation pending where F2 has full row rank. Such systems are termed 'regular' by Luenberger (1977), and can be decomposed into two equations of the respective forms ζk+1= Ψ1ζk+ Ψ2ηk and +Δ2uk= 0 where ζk, ηk and xk are related by the equation xk = equation pending thus the descriptor system might be reduced to a state-space system whose state vector is ζk A reasonable choice for C is C= Γ[I, 0] Θ -1where Γ is some m x r matrix of full row rank, which yields yk = Γζk. The problem is this: given an initial descriptor vector xo, find, without reducing the descriptor system to a state-space system, a sequence of control vectors uo, u1,..,uN-1 Hy, that will yield yN = 0 for some N. A necessary and sufficient condition is obtained for the solvability of the problem. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 21 van 25 gevonden artikelen
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