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., CNRS, Toulouse, France
fDate :
11/1/1993 12:00:00 AM
Abstract :
This note presents some conditions of existence of positively invariant polyhedra for linear continuous-time systems. These conditions are first described algebraically, then interpreted on the basis of the system eigenstructure. Then, a simple state-feedback placement method is described for solving some linear regulation problems under constraints
Keywords :
eigenvalues and eigenfunctions; feedback; invariance; linear systems; state-space methods; continuous-time linear systems; existence conditions; invariant polyhedra; positively invariant polyhedra; state-feedback placement method; system eigenstructure; Automatic control; Control systems; Induction motors; Linear matrix inequalities; Linear systems; Motion control; Motion planning; Parameter estimation; State feedback; Voltage;
Journal_Title :
Automatic Control, IEEE Transactions on
