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These three points attempt to minimize the integral of absolute error between process and model responses.
The number of poles in this magnet design is even, to minimize the integral strengths of the multipole components.
For the conventional PID controller, the optimization algorithm used is to minimize the Integral of Absolute Error (IAE).
The statistical analysis is based on a best-fitting approach aiming to minimize the integral distance between the empirical data distribution and some reference distributions.
Besides, an evolutionary multi-objective optimization (EMO) procedure, namely non-dominated sorting genetic algorithm (NSGA-II), was used in order to simultaneously minimize the integral time-weighted absolute error (ITAE) and the integral time-weighted absolute derivative (ITAD) objectives.
In particular, to achieve optimal gain tuning, the controller gains are searched within the GPMSOR to minimize the integral of the absolute error (IAE) or the integral of the squared error (ISE) performance criterion.
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Given two configurations (position and orientation) in 3D, we search for the minimal energy trajectory that minimizes the integral of the squared acceleration, opposed to curvature, which is widely investigated.
The least-squares method consists in minimizing the integral of the square of the residual over the computational domain.
The controller design is performed considering the objectives of set-point tracking and disturbance rejection, minimizing the integral of the absolute error criterion.
However, the trend with the total annualized cost was not observed with respect to the control effort manifested by minimizing the integral of the squared errors (ISE) between the controlled stream temperatures and their targets (set-points).
The derived controller transfer function is found to be a PD controller which is recently also shown by Visioli [IEE Proc. Control Theory Appl. 148 (2001) 180] by minimizing the integral squared error (ISE) using a genetic algorithm.
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