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On invariant polyhedra of continuous-time systems subject to additive disturbances

✍ Scribed by Basílio E.A. Milani; Carlos E.T. Dórea

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
596 KB
Volume
32
Category
Article
ISSN
0005-1098

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✦ Synopsis

This paper presents new necessary and sufficient algebraic conditions on the existence of positively &@invariant polyhedra of continuous-time linear systems subject to additive disturbances.

In particular, for a convex unbounded polyhedron containing the origin in its interior, it is also shown that the positive !&invariance conditions can be split into two lower-dimensional sets of algebraic relations: the first corresponds to disturbance decoupling conditions and the second to positive g-invariance conditions for bounded polyhedra of a reduced-order system. The stability of the overall system is discussed as well. By exploring the results obtained, an LP approach is proposed for solution of a state-constrained regulator problem in the presence of additive disturbances.

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