Improved Continuous Cycling Method of Tuning PID Controllers for Unstable Systems

References

• Astrom, K.J. and Hagglund, T., PID Controllers: Theory, Design and Tuning, Instr. Soc. America, ,Research Triangle Park, NC (1995).
   Google Scholar
• Vilanova, R. and Visioli, A., PID Control in Third Millennium, Springer Verlag Ltd., London (2012).
   Google Scholar
• Padmasree, R. and Chidambaram, M., Control of Unstable Systems, Narosa Pub., New Delhi (2006).
   Google Scholar
• Yu, C.C., Auto Tuning of PID Controllers, Springer-Verlag, Berlin (1999).
   Google Scholar
• Johnson, M.A. and Moradi, M.H., PID Control: New Identification and Design Methods, Springer, London (2005).
   Google Scholar
• O'Dwyer, A., Handbook of PI/PID Controller Tuning Rules, 3rd edn, Imperial College Press, London (2009).
   Google Scholar
• Wang, Y.G. and Cai, W.J., “Advanced Proportional Integral Derivative Tuning for Integrating and Unstable Processes with Gain and Phase Margin Specifications”, Ind. Eng. Chem. Res., 41, pp. 2910–2914 (2002). doi: 10.1021/ie000739h
   Web of Science ®Google Scholar
• Ho, W.K. and Xu, W., “PID Tuning for Unstable Processes Based on Gain Margin and Phase Margin Specifications”, Proc. IEE, CTA, 145, pp. 392–396 (1998).
   Google Scholar
• DePaor, A.M. and O'Malley, M., “Controllers of Ziegler–Nichols Type for Unstable System with Time Delay”, Int. J. Control, 41, pp. 1025–1036 (1989).
   Google Scholar
• Venkatashankar, V. and Chidambaram, M., “Design of P and PI Controllers for Unstable First Order Plus Time Delay Systems”, International Journal of Control, 60, pp. 132–144 (1994).https://doi.org/10.1080/00207179408921455
   Web of Science ®Google Scholar
• Clement, C.V. and Chidambaram, M., “PID Control of Unstable FOPTD Systems”, Chem. Eng. Commun., 162, pp. 63–74 (1997). doi: 10.1080/00986449708936632
   Web of Science ®Google Scholar
• Shafie, Z. and Shenton, A.T., “Tuning of PID Type Controllers for Stable and Unstable Systems with Time Delay”, Automatica, 30, pp. 1609–1615 (1994). doi: 10.1016/0005-1098(94)90100-7
   Web of Science ®Google Scholar
• Manoj, K.J. and Chidambaram, M., “PID Controller Tuning for Unstable Systems by Optimization Method”, Chem. Engg. Comm., 185, pp. 91–113 (2001). doi: 10.1080/00986440108912857
   Web of Science ®Google Scholar
• Poulin, E. and Pomerlaeu, A., “A PID Tuning for Integrating and Unstable Processes”, IEE Proc. CTA, 143, pp. 429–435 (1996).
   Google Scholar
• Visioli, A., “Optimal Tuning of PID Controllers for Integral and Unstable Processes”, IEE Proc. Control Theory Appln., 148, pp. 180–184 (2001). doi: 10.1049/ip-cta:20010197
   Web of Science ®Google Scholar
• Chandrashekar, R., Padmasree, R. and Chidambaram, M., “Design of PI/PID Controllers for Unstable Systems with Time Delay by Synthesis Method”, Indian Chem. Eng., 44, pp. 82–88 (2002).
   Google Scholar
• Jeng, J.C. and Fu, E.P., “Closed Loop Tuning of Set Point Weighted Proportional-Integral-Derivative Controllers for Stable, Integrating and Unstable Processes: A Unified Data Based Method”, Ind. Eng. Chem. Res., 54, pp. 1041–1058 (2015). doi: 10.1021/ie503398d
   Web of Science ®Google Scholar
• Panda, R.C., “Synthesis of PID Controllers for Unstable and Integrating Processes”, Chem. Eng. Sci., 64, pp. 2807–2816 (2009). doi: 10.1016/j.ces.2009.02.051
   Web of Science ®Google Scholar
• Rotstein, G.E. and Lewin, D.R., “Simple PI and PID System Controller for Unstable Systems”, Ind. Eng. Chem. Res., 30, pp. 1864–1869 (1991). doi: 10.1021/ie00056a028
   Web of Science ®Google Scholar
• Lee, Y., Lee, J. and Park, S., “PID Controller Tuning for Integrating and Unstable Processes with Time Delay”, Chem. Eng. Sci., 55, pp. 3481–3493 (2000). doi: 10.1016/S0009-2509(00)00005-1
   Web of Science ®Google Scholar
• Padmasree, R., Srinivas, M.N. and Chidambaram, M., “A Simple Method of Tuning PID Controllers for Stable and Unstable FOPTD Systems”, Comp. Chem. Eng., 28, pp. 2201–2218 (2004). doi: 10.1016/j.compchemeng.2004.04.004
   Web of Science ®Google Scholar
• Astrom, K.J. and Hagglund, T., “Revisiting the Ziegler–Nichols Step Response Method for PID Control”, J. Process Contr., 14, pp. 635–650 (2004). doi: 10.1016/j.jprocont.2004.01.002
   Web of Science ®Google Scholar
• Ziegler, J.G. and Nichols, N.B., “Optimum Settings for Automatic Controllers”, Trans. ASME, 64, pp. 759–765 (1942).
   Google Scholar
• Tyreus, B.D. and Luyben, W.L., “Tuning PI Controllers for Integrator/Dead-Time Processes”, Ind. Eng. Chem. Res., 31, pp. 2625–2628 (1992). doi: 10.1021/ie00011a029
   Web of Science ®Google Scholar
• Smith, C.L., “Intelligently Tune PID Controllers”, Chem. Eng., (Jan.), pp. 56–62 (2003).
   Google Scholar
• Douglas, J.M., Process Dynamics and Control, 2 Control System Synthesis, Prentice Hall, Englewood Cliffs, NJ (1972).
   Google Scholar
• DiBiasio, D., Lim, H.C. and Weigand, W.A., “An Experimental Investigation of Stability and Multiplicity of Steady States in a Biological Reactor”, AIChE J., 27, pp. 284–292 (1981). doi: 10.1002/aic.690270216
   Web of Science ®Google Scholar
• Chidambaram, M. and Vivek, S., Relay Auto-tuning for Identification and Control, Cambridge University Press, New Delhi (2014).
   Google Scholar