Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2014, Special Issue (2014), Article ID 120419, 11 pages.

Model Based Adaptive Piecewise Linear Controller for Complicated Control Systems

Tain-Sou Tsay

Full-text: Open access

Abstract

A model based adaptive piecewise linear control scheme for industry processes with specifications on peak overshoots and rise times is proposed. It is a gain stabilized control technique. Large gain is used for large tracking error to get fast response. Small gain is used between large and small tracking error for good performance. Large gain is used again for small tracking error to cope with large disturbance. Parameters of the three-segment piecewise linear controller are found by an automatic regulating time series which is function of output characteristics of the plant and reference model. The time series will be converged to steady values after the time response of the considered system matching that of the reference model. The proposed control scheme is applied to four numerical examples which have been compensated by PID controllers. Parameters of PID controllers are found by optimization method. It gives an almost command independent response and gives significant improvements for response time and performance.

Article information

Source
J. Appl. Math., Volume 2014, Special Issue (2014), Article ID 120419, 11 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425051870

Digital Object Identifier
doi:10.1155/2014/120419

Citation

Tsay, Tain-Sou. Model Based Adaptive Piecewise Linear Controller for Complicated Control Systems. J. Appl. Math. 2014, Special Issue (2014), Article ID 120419, 11 pages. doi:10.1155/2014/120419. https://projecteuclid.org/euclid.jam/1425051870


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