TY  - CHAP
ID  - eprints2447
EP  - 5245
SP  - 5240
TI  - Robust pole placement for plants with semialgebraic parametric uncertainty
N2  - In this paper we address the problem of robust pole placement for linear-time-invariant systems whose uncertain parameters are assumed to belong to a semialgebraic region. A dynamic controller is designed in order to constrain the coefficients of the closed-loop characteristic polynomial within prescribed intervals. Two main topics arising from the problem of robust pole placement are tackled by means of polynomial optimization. First, necessary conditions on the plant parameters for the existence of a robust controller are given. Then, the set of all admissible robust controllers is sought. Convex relaxation techniques based on sum-of-square decomposition of positive polynomials are used to efficiently solve the formulated optimization problems through semidefinite programming techniques.
AV  - public
N1  - 2012 American Control Conference; held in Montréal Canada), June 27-June 29, 2012
SN  - 978-1-4577-1095-7
T2  - Proceedings of American Control Conference (ACC), 2012
KW  - Robust coprimeness; Robust pole placement; Semialgebraic uncertainty; Sum-of-square decomposition
A1  - Cerone, Vito
A1  - Piga, Dario
A1  - Regruto, Diego
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6315548&isnumber=6314593
Y1  - 2012/06//
PB  - IEEE
ER  -