The partial non interacting problem: Structural and geometric solutions
Résumé
The aim of this paper is to propose a new contribution in the domain of the famous
Decoupling Problem for Linear Time-Invariant systems: we introduce here and solve the
so-called kth-order Partial Non Interacting Problem (PNIP(k)), which amounts to diagonalizing
the first k Markov parameters of the compensated plant. This contribution is
based on classical results on exact decoupling and the partial treatment is inspired from a
similar control problem, namely the partial model matching problem.
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