Stabilization of Uncertain Singularly Perturbed Systems With Pole-Placement Constraints

Abstract

This brief considers the problem of stabilization of uncertain singularly perturbed systems with pole-placement constraints by using 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 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 -bound issue, the proposed scheme can stabilize the systems for all (0 ). A circuit system is given to illustrate the validity of the proposed schemes.

DOI: 10.1109/TCSII.2006.880016

Cite this paper

@article{Lin2006StabilizationOU, title={Stabilization of Uncertain Singularly Perturbed Systems With Pole-Placement Constraints}, author={Kuo-Jung Lin and Tzuu-Hseng S. Li}, journal={IEEE Trans. on Circuits and Systems}, year={2006}, volume={53-II}, pages={916-920} }