Computation of all stabilizing PID gains for digital control systems
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abstract
This paper determines the set of all PID gains that can stabilize a given discrete-time plant of arbitrary order. Utilizing earlier results obtained for the continuous-time case and the bilinear transformation, it is shown that a complete solution can be obtained using linear programming. Several numerical examples are presented to illustrate the procedure.
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Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148)