Robust Stabilization for Diamond Plant Family

Enping Wang · Control theory & applications · 1997

In this paper, the problem of robust stabilization for diamond plant family is studied. It isproved that the necessary and the sufficient condition for a compensator to robustly stabilize the diamondplant family is that it simultaneouly stabilizes sixty-four exposed edges of plants of the family. Based on this,the selection of the numerator and the denominator of the compesator is discussed by use of the concept ofconvex direction, and finally the extreme point result of robust stabilization for the plant family is presented.

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