Analysis and design of scaling optimal GPM-PID control with application to liquid level control
| Autor: | Fu-Jiang Jin, Ruijuan Liu, Laicheng Yan, Zhuoyun Nie |
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| Rok vydání: | 2016 |
| Předmět: |
0209 industrial biotechnology
Engineering business.industry Applied Mathematics Imaginary part Characteristic equation PID controller 02 engineering and technology Computer Science Applications Nonlinear system 020901 industrial engineering & automation 020401 chemical engineering Control and Systems Engineering Robustness (computer science) Control theory Approximation error Modeling and Simulation 0204 chemical engineering Gain margin business Scaling |
| Zdroj: | International Journal of Automation and Computing. 13:624-633 |
| ISSN: | 1751-8520 1476-8186 |
| DOI: | 10.1007/s11633-016-0998-y |
| Popis: | In this paper, a new analysis and design method for proportional-integrative-derivative (PID) tuning is proposed based on controller scaling analysis. Integral of time absolute error (ITAE) index is minimized for specified gain and phase margins (GPM) constraints, so that the transient performance and robustness are both satisfied. The requirements on gain and phase margins are ingeniously formulated by real part constraints (RPC) and imaginary part constraints (IPC). This set of new constraints is simply related with three parameters and decoupling of the remaining four unknowns, including three controller parameters and the gain margin, in the nonlinear and coupled characteristic equation simultaneously. The formulas of the optimal GPM-PID are derived based on controller scaling analysis. Finally, this method is applied to liquid level control of coke fractionation tower, which demonstrate that the proposed method provides better disturbance rejection and robust tracking performance than some commonly used PID tuning methods. |
| Databáze: | OpenAIRE |
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