Abstract
In this paper, we examine a method for designing modified proportional-integral-derivative (PID) controllers for use in stable and/or minimum-phase time-delay plants. The PID controller structure is the one used most widely in industrial applications. Recently, the parameterization of all stabilizing PID controllers has been considered. However, no method which guarantees the stability of a PID control system for any stable and/or minimum-phase time-delay plants, and in which the admissible sets of P-, I- and D-parameters are independent from each other, has been published. In this paper, we propose a method for designing modi¯ed PID controllers such that the modified PID controller makes the feedback control system for any stable and/or minimum-phase time delay plant stable and the admissible sets of P-, I- and D-parameters are independent from each other. Numerical examples and application in a heat flow experiment are shown to illustrate the effectiveness of the proposed method.
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