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|Title: ||(A, B)-Invariance conditions of polyhedral domains for continuous-time systems|
|Other Titles: ||European Journal of Control|
|Authors: ||Dorea, Carlos Eduardo Trabuco|
Hennet, J. C.
|Keywords: ||(A,B)-invariance;Constrained systems;Feedback control;Linear systems;Positive invariance|
|Issue Date: ||1999|
|Publisher: ||European Journal of Control|
|Abstract: ||This paper provides an explicit characterisation of the (A,B)-invariance property of polyhedral sets with respect to linear continuous-time systems. A typical application of the concept of (A,B)-invariance is to investigate the possibility of controlling a system subject to pointwise in time trajectory constraints. Necessary and sufficient conditions for a polyhedron to be (A,B)-invariant are established in the form of linear matrix relations. Some particular conditions of existence of linear state feedback laws are also presented. The study of (A,B)-invariance of polyhedra is then extended to the control of constrained and additively disturbed systems.|
|Description: ||Texto completo. Acesso restrito. p. 70–81|
|Appears in Collections:||Artigos Publicados em Periódicos (PPGEE)|
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