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| Received:November 14, 2012Revised:September 18, 2013 |
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| A simple method of tuning series cascade controllers for unstable systems |
| Simi SANTOSH,M. CHIDAMBARAM |
| (Department of Chemical Engineering, Indian Institute of Technology Madras) |
| Abstract: |
| A simple method is proposed to design P/PI controllers for a series cascade control system for unstable first order plus time-delay (FOPTD) systems. In this paper, the controller design for unstable FOPTD systems cascaded in series with stable/unstable FOPTD systems is considered. The proposed method is based on equating the coefficients of corresponding powers of s and s^2 in the numerator to α_1 and α_2 times those of the denominator of the closed-loop transfer function for a servo problem. The open loop system consists of an unstable FOPTD system cascaded in series with a stable/unstable FOPTD system. Only two tuning parameters (α_1 and α_2) are required for the design of controllers. The closed-loop performances are evaluated for both the servo and regulatory problems and the performances are found to be better than that of the well established synthesis method. The robustness for uncertainty in the model parameters is studied and compared with that of the controllers designed by the synthesis method. |
| Key words: Cascade control Time-delay process PI controller P controller FOPTD model Tuning |
