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Stabilization of Uncertain Singularly Perturbed Systems With Pole-Placement Constraints

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2 Author(s)
K. -L. Lin ; Dept. of Electr. Eng., Fortune Inst. of Technol., Kaohsiung ; T. -H. S. Li

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

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IEEE Transactions on Circuits and Systems II: Express Briefs  (Volume:53 ,  Issue: 9 )