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Computation of all stabilizing PID gains for digital control systems
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2001
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Mathematical ProgrammingDiscrete-time PlantEngineeringMechatronicsMechanical SystemsProcess ControlMathematical Control TheorySystems EngineeringPid ControlControl DesignBilinear TransformationController TuningLinear ProgrammingPid GainsLinear ControlDynamic OptimizationStability
This note determines the set of all proportional-integral-derivative (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.