Title :
On invariant polyhedra of continuous-time linear systems
Author :
Castelan, E.B. ; Hennet, J.C.
Author_Institution :
Lab. d´´Autom. et d´´Anal. des Syst. du CNRS, Toulouse, France
Abstract :
The author presents some conditions of existence of positively invariant polyhedra for linear continuous-time systems. These conditions are described algebraically and then interpreted on the basis of the system eigenstructure. A simple state-feedback placement method is described for solving some linear regulation problems under constraints. The proposed solution describes the structural conditions (on the invariant zeros) under which the domain of constraints can be made positively invariant by a simple eigenstructure assignment algorithm
Keywords :
control system analysis; eigenvalues and eigenfunctions; feedback; linear systems; continuous-time linear systems; positively invariant polyhedra; state-feedback placement method; structural conditions; system eigenstructure; Equations; Linear matrix inequalities; Linear systems; Sufficient conditions; Vectors;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261704
