Abstract
AbstractThis article accentuates measuring the performance of controllers employed for the processes in terms of input tracking characteristics. The process which needs to be controlled is approximated as an unstable process with a RHP pole and a time delay. The manipulated variable is subjected to ramp input changes, and the theoretical lower bound of the control signal in terms of total variation (TV) is established. By representing the theoretical bounds of offset and control signal using integral absolute error (IAE) and TV as performance benchmarks, a new performance index named IAE–TV index is explicated. A control scheme is considered to investigate the condition required for achieving reasonable set point tracking performances. Simulation studies are executed to substantiate the standard benchmark and the significance of the proposed novel assessment technique.KeywordsPerformance assessmentTotal variationPID controllerUnstable systemsIAE
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