This thesis describes the global geometric structure of stabilizing set through D-subdivision method. The critical step is to find the set of PID parameters with imaginary closed-loop poles (characteristic roots). This set is a ruled surface in the parameter space, and is known as the crossing surface, in the space with the proportional gain as the vertical axis. As will be shown, this crossing surface is completely determined by its discriminant, i.e., the curve consisting of points with vertical tangent plane. Such a method may be used to a very large class of plants.
|Commitee:||Gu, Keqin, Krauss, Ryan, Wang, Fengxia|
|School:||Southern Illinois University at Edwardsville|
|Department:||Mechanical and Industrial Engineering|
|School Location:||United States -- Illinois|
|Source:||MAI 52/02M(E), Masters Abstracts International|
|Keywords:||Geometric, Pid controllers, Stability|
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