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Optimization of PID Controller Based on Maximization of the Proportional Gain Under Constraints on Robustness and Sensitivity to Measurement Noise | IEEE Journals & Magazine | IEEE Xplore

Optimization of PID Controller Based on Maximization of the Proportional Gain Under Constraints on Robustness and Sensitivity to Measurement Noise


Abstract:

This technical note presents a new, simple and effective, four-parameters proportional–integral–derivative (PID) optimization method. The set of adjustable parameters is...Show More

Abstract:

This technical note presents a new, simple and effective, four-parameters proportional–integral–derivative (PID) optimization method. The set of adjustable parameters is defined by the proportional gain k, integral gain k_{\rm i}, damping ratio of the controller zeros (DRCZ), and desired value of the sensitivity to measurement noise M_{\rm n}. Given M_{\rm n} and desired value of the maximum sensitivity M_{\rm s}, for both maximization of k and maximization of k_{\rm i}, only three nonlinear algebraic equations need to be solved for a few values of DRCZ. Contrary to the method based on maximization of k_{\rm i}, in the method based on maximization of k the improvement of performance is obtained by decreasing DRCZ from 1 to the value corresponding to the minimum of the integrated absolute error (IAE). Moreover, this is achieved without deteriorating robustness to the model uncertainties, for a large class of stable processes. Compared to the recently proposed PID optimization methods, for the same M_{\rm s} and M_{\rm n}, lower values of IAE and M_{\rm p} are obtained by using the method presented here.
Published in: IEEE Transactions on Automatic Control ( Volume: 54, Issue: 1, January 2009)
Page(s): 184 - 189
Date of Publication: 13 January 2009

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