Title :
On the complete controllability indexes assignment problem
Author :
Herrera, Angel ; Mondié, Sabine
Author_Institution :
Dept. de Control Autom., CINVESTAV-IPN, Mexico City, Mexico
fDate :
2/1/2001 12:00:00 AM
Abstract :
New solvability conditions for the simultaneous assignment by static-state feedback of both the controllability indexes of (A, B) and the invariant factors of (sI-A, -B) are given. These conditions enhance the fact that this problem is a generalization of the control structure problem of Rosenbrock (1970) and of the controllability indexes assignment problem of Heymann (1981). The choice of a polynomial framework allows one to obtain simpler proofs of the results than those previously published
Keywords :
closed loop systems; controllability; linear systems; performance index; polynomial matrices; state feedback; assignment problem; closed loop systems; completion problems; controllability index; invariant factors; linear time invariant systems; polynomials; state feedback; Automatic control; Control systems; Controllability; Filtering; Linear matrix inequalities; Optimal control; Riccati equations; Robustness; State estimation; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
