Artículos de revistas
On invariant polyhedra of continuous-time systems subject to additive disturbances
Registro en:
Automatica. Pergamon-elsevier Science Ltd, v. 32, n. 5, n. 785, n. 789, 1996.
0005-1098
WOS:A1996UQ52800010
10.1016/0005-1098(96)00002-7
Autor
Milani, BE
Dorea, CET
Institución
Resumen
This paper presents new necessary and sufficient algebraic conditions on the existence of positively D-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 D-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 D-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. Copyright (C) 1996 Elsevier Science Ltd. 32 5 785 789