TY - JOUR
T1 - Stabilization of Uncertain Singularly Perturbed Systems With Pole-Placement Constraints
AU - Lin, Kuo Jung
AU - Li, Tzuu Hseng S.
N1 - Funding Information:
Manuscript received October 28, 2004; revised June 2, 2005. This work was supported by National Science Council of the Republic of China under Grants NSC94-2213-E006-007 and NSC94-2213-E006-030. This paper was recommended by Associate Editor E. Rogers.
PY - 2006/9
Y1 - 2006/9
N2 - This brief considers the problem of stabilization of uncertain singularly perturbed systems with pole-placement constraints by using H°° dynamic output feedback design. Based on the Lyapunov stability theorem and the tool of linear matrix inequality (LMI), we solve dynamic output feedback gain matrices and a set of common positive-definite matrices, and then some sufficient conditions are derived to stabilize the singularly perturbed systems with parametric uncertainties. Moreover, the developed H°° criterion guarantees that the influence of external disturbance is as small as possible and the poles of the closed-loop system are all located inside the LMI stability region. By the guaranteed ε-bound issue, the proposed scheme can stabilize the systems for all ε E (0, ε*). A circuit system is given to illustrate the validity of the proposed schemes.
AB - This brief considers the problem of stabilization of uncertain singularly perturbed systems with pole-placement constraints by using H°° dynamic output feedback design. Based on the Lyapunov stability theorem and the tool of linear matrix inequality (LMI), we solve dynamic output feedback gain matrices and a set of common positive-definite matrices, and then some sufficient conditions are derived to stabilize the singularly perturbed systems with parametric uncertainties. Moreover, the developed H°° criterion guarantees that the influence of external disturbance is as small as possible and the poles of the closed-loop system are all located inside the LMI stability region. By the guaranteed ε-bound issue, the proposed scheme can stabilize the systems for all ε E (0, ε*). A circuit system is given to illustrate the validity of the proposed schemes.
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U2 - 10.1109/TCSII.2006.880016
DO - 10.1109/TCSII.2006.880016
M3 - Article
AN - SCOPUS:34047104411
SN - 1549-7747
VL - 53
SP - 916
EP - 920
JO - IEEE Transactions on Circuits and Systems II: Express Briefs
JF - IEEE Transactions on Circuits and Systems II: Express Briefs
IS - 9
ER -