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Original Articles

On the pole of non-square transfer function matrix Moore–Penrose pseudo-inverses

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Pages 2560-2571 | Received 10 May 2013, Accepted 29 Oct 2013, Published online: 23 Dec 2013

References

  • Bongiorno, J.J., & Youla, D.C. (2001). Wiener–Hopf design of optimal decoupling one-degree-of-freedom controllers for plants with rectangular transfer matrices. International Journal of Control, 74, 1393–1411.
  • Cai, W.J., Ni, W., He, M.J., & Ni, C.Y. (2008). Normalized decoupling-a new approach for MIMO process control system design. Industrial & Engineering Chemistry Research, 47, 7347–7356.
  • Chen, J., He, Z.F., & Qi, X. (2011). A new control method for MIMO first order time delay non-square systems. Journal of Process Control, 21, 538–546.
  • Chen, J., Pan, L.D., & Cao, L.L. (2007). Decoupling internal model control and application for multivariable time-delay process. Journal of Beijing University of Chemical Technology, 34, 313–317.
  • Davison, E.J. (1983). Some properties of minimum phase systems and squared down systems. IEEE Transactions on Automatic Control, 28, 221–222.
  • Domenico, D.D., Giovanni, F., & Anna, S. (2010). A decoupled controller for fuel cell hybrid electric power split. International Journal of Systems Science, 41, 447–456.
  • Garrido, J., Morilla, F., & Vázquez, F. (2009). Centralized PID control by decoupling of a boiler-turbine unit. In Proceedings of the 10th European Control Conference (pp. 4007–4012). Budapest.
  • Garrido, J., Vázquez, F., & Morilla, F. (2011). An extended approach of inverted decoupling. Journal of Process Control, 21, 55–68.
  • Havre, K., & Skogestad, S. (1996). Effect of RHP zeros and poles on performance in multivariable systems. In UKACC International Conference on Control (pp. 930–935). Exeter, UK.
  • Jing, Q.B., Guo, Y., Liu, Z.Y., & Song, A. (2010). Decoupling internal model control for non-square process with time delays. In International Conference on Measuring Technology and Mechatronics Automation (pp. 898–901). Changsha, China.
  • Loh, E.J., & Chiu, M.S. (1997). Robust decentralized control of non-square systems. Chemical Engineering Communications, 158, 157–180.
  • Morari, M., & Zafriou, E. (1989). Robust process control. Englewood Cliffs, NJ: Prentice Hall.
  • Nordfeldt, P., & Hägglund, T. (2006). Decoupler and PID controller design of TITO systems. Journal of Process Control, 16, 923–936.
  • Seshagiri, R.A., & Chidambaram, M. (2006). Smith delay compensator for multivariable non-square system with multiple time delays. Computers & Chemical Engineering, 30, 1243–1255.
  • Steven, R. (2008). Advanced linear algebra. New York, NY: Springer Verlag.
  • Tavakoli, S., Griffin, I., & Fleming, P.J. (2006). Tuning of decentralized PI (PID) control for TITO processes. Control Engineering Practice, 14, 1069–1080.
  • Vázquez, F. (2001). Diseno de controladores PID para sistemas MIMO con control descentralizado (Doctoral thesis). UNED, Madrid, Spain.
  • Wang, Q.G., Zhang, Y., & Chiu, M.S. (2002). Decoupling internal model control for multivariable systems with multiple time delays. Chemical Engineering Science, 57, 115–124.
  • Wang, Q.G., Zhang, Y., & Chiu, M.S. (2003). Non-interacting control design for multivariable industrial processes. Journal of Process Control, 13, 253–265.
  • Wang, Q.G., Zou, B., & Zhang, Y. (2000). Decoupling Smith delay compensator design for multivariable systems with multiple time delays. Chemical Engineering Research and Design, 8, 565–572.
  • Xiong, Q., Cai, W.J., & He, M.J. (2007). Equivalent transfer function method for PI/PID controller design of MIMO processes. Journal of Process Control, 17, 665–673.
  • Young, J.S. (2011). Synthesis of decoupling controller for non-minimum phase plants of different pole numbers on RHP within uncertainties. International Journal of Systems Science, 42, 939–950.
  • Zhang, W.D., & Lin, C. (2006). Multivariable Smith predictors design for non-square plants. IEEE Transactions on Control Systems & Technology, 14, 1145–1149.
  • Zhang, W.D., Lin, C., & Ou, L.L. (2006). Algebraic solution to H2 control problems. II. The multivariable decoupling case. Industrial & Engineering Chemistry Research, 45, 7163–7176.

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