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In control system theory, a performance index is a quantitative measure of the performance of a system and is chosen so that emphasis is given to the important system parameters. In this paper, the authors demonstrate two methods to determine analytically the ISE performance index value for a FOPDT process model under PI control. The ability of proportional/integral (PI) and proportional/integral/derivative (PID) controllers to compensate most practical industrial processes has led to their wide acceptance in industrial applications. The most direct way to set up PI/PID controller parameters is the use of tuning rules. The second part of this paper examines the performance of ten tuning rules used to compensate six representative processes.
Kealy, Tony and O'Dwyer, Aidan :Analytical ISE calculation and optimum control system design. Proceedings of the Irish Signals and Systems Conference, pp. 418-423, University of Limerick, July, 2003.