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On (A, B)-invariance of polyhedral domains for discrete-time systems

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2 Author(s)
Dorea, C.E.T. ; Lab. d''Autom. et d''Anal. des Syst., CNRS, Toulouse, France ; Hennet, J.-C.

The problem of confining the trajectory of a discrete-time linear system in a given polyhedral set is addressed using the positive invariance approach. The property of (A, B)-invariance of polyhedral domains is introduced. It is then geometrically and analytically characterized. In particular, this property is verified by the maximal admissible set included in a given polyhedral domain. An important class of (A, B)-invariant polyhedral domains admitting a linear state feedback invariant control law is exhibited. The results are extended to systems subject to additive disturbances

Published in:

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on  (Volume:4 )

Date of Conference:

11-13 Dec 1996

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