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Optimal decentralized control design with disturbance decoupling

Petros G. Voulgaris — 2002

Kybernetika

In this paper we present an input-output point of view for the problem of closed loop norm minimization of stable plants when a decentralized structure and a disturbance decoupling property are imposed on the controller. We show that this problem is convex and present approaches to its solution in the optimal ℓ 1 sense in the nontrivial case which is when the block off- diagonal terms of the plant have more columns than rows.

ℓ 1 -optimal control for multirate systems under full state feedback

Johannes Aubrecht;  Petros G. Voulgaris — 1999

Kybernetika

This paper considers the minimization of the ℓ ∞ -induced norm of the closed loop in linear multirate systems when full state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. The essential idea is to construct a set such that the state may be confined to that set and that such a confinement guarantees that the output satisfies the desired output norm conditions. Once such a set is computed, it is shown that...

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