Artículos de revistas
Static output feedback controllers: Stability and convexity
Registro en:
Ieee Transactions On Automatic Control. Ieee-inst Electrical Electronics Engineers Inc, v. 43, n. 1, n. 120, n. 125, 1998.
0018-9286
WOS:000071544400015
10.1109/9.654912
Autor
Geromel, JC
de Souza, CC
Skelton, RE
Institución
Resumen
The main objective of this paper is to solve the following stabilizing output feedback control problem: given matrices (ii, B-2, C-2) with appropriate dimensions, find (if one exists) a static output feedback gain L such that the closed-loop matrix A-B2LC2 is asymptotically stable, It is known that the existence of L is equivalent to the existence of a positive definite matrix belonging to a convex set such that its inverse belongs to another convex set, Conditions are provided for the convergence of an algorithm which decomposes the determination of the aforementioned matrix in a sequence of convex programs, Hence, this paper provides a new sufficient (but not necessary) condition for the solvability of the above stabilizing output feedback control problem, As a natural extension, we also discuss a simple procedure for the determination of a stabilizing output feedback gain assuring good suboptimal performance with respect to a given quadratic index. Some examples borrowed from the literature are solved to illustrate the theoretical results. 43 1 120 125