A method is presented to compute the ℓ∞-gain of discrete-time linear MIMO systems which is based on a newly derived sequence of factorizations for G(z ). By resorting to a chain-scattering representation of the system, the proposed approach offers a criterion enabling one to cope with the static output feedback ℓ 1-control design by solving a finite set of linear inequalities. Numerical examples are reported as well as an application to the synthesis of a performing decentralized ℓ 1-controller.
Non-minimal factorization approach to the linf-gain of discrete-time linear systems
PICASSO, BRUNO;COLANERI, PATRIZIO
2013-01-01
Abstract
A method is presented to compute the ℓ∞-gain of discrete-time linear MIMO systems which is based on a newly derived sequence of factorizations for G(z ). By resorting to a chain-scattering representation of the system, the proposed approach offers a criterion enabling one to cope with the static output feedback ℓ 1-control design by solving a finite set of linear inequalities. Numerical examples are reported as well as an application to the synthesis of a performing decentralized ℓ 1-controller.File in questo prodotto:
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