Stabilization of Uncertain Singularly Perturbed Systems With Pole-Placement Constraints

Kuo Jung Lin, Tzuu Hseng S. Li

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)916-920
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number9
Publication statusPublished - 2006 Sep

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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