166
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Pole assignment of multivariable systems using proportional-derivative state feedback

Pages 2871-2886 | Received 25 Feb 2016, Accepted 07 Jul 2017, Published online: 23 Aug 2017

References

  • Abdelaziz, T.H.S. (2009). Robust pole assignment for linear time-invariant systems using state-derivative feedback. Journal of Systems & Control Engineering, 223(2), 187–199.
  • Abdelaziz, T.H.S. (2012). Parametric eigenstructure assignment using state-derivative feedback for linear systems. Journal of Vibration & Control, 18(12), 1809–1827.
  • Abdelaziz, T.H.S. (2015a). Pole placement for single-input linear system by proportional-derivative state feedback. ASME Journal Dynamic Systems, Measurement & Control, 137(4), 041015-1-10.
  • Abdelaziz, T.H.S. (2015b). Stabilization of single-input LTI systems by proportional-derivative feedback. Asian Journal of Control, 17(6), 2165–2174.
  • Abdelaziz, T.H.S. (2017). Stabilization of linear time-varying systems using proportional-derivative state feedback. Transactions of the Institute of Measurement and Control. doi:10.1177/0142331217697787
  • Arnold, M., & Datta, B.N. (1990). An algorithm for the multiinput eigenvalue assignment problem. IEEE Transactions on Automatic Control, 35, 1149–1152.
  • Benacchio, S., Chomette, B., Mamou-Mani, A., & Ollivier, F. (2016). Modal proportional and derivative state active control applied to a simplified string instrument. Journal of Vibration & Control, 22(18), 3877–3888.
  • Bru, R., Cerdan, J., & Urbano, A.M. (1994). An algorithm for the multiinput pole assignment problem. Linear Algebra and Applications, 199, 427–444.
  • Chen, H.C., & Chang, F.R. (1993). Chained eigenstructure assignment for constraint-ratio proportional and derivative (CRPD) control law in controllable singular systems. Systems & Control Letters, 21, 405–411.
  • Choi, J.W., & Seo, Y.B. (1999). LQR design with eigenstructure assignment capability. IEEE Transactions on Aerospace & Electronic Systems, 35(2), 700–708.
  • Chu, D., & Malabre, M. (2002). Numerically reliable design for proportional and derivative state-feedback decoupling controller. Automatica, 38(12), 2121–2125.
  • Duan, G.R. (1993). Solutions of the equation AV+BW = VF and their application to eigenstructure assignment in linear systems. IEEE Transactions on Automatic Control, 38, 276–280.
  • Duan, G.R., & Patton, R.J. (1997). Eigenstructure assignment in descriptor systems via proportional plus derivative state feedback. International Journal of Control, 68, 1147–1162.
  • Duan, G.R., & Patton, R.J. (1999). Robust pole assignment in descriptor systems via proportional plus partial derivative state feedback. International Journal of Control, 72, 1193–1203.
  • Duan, G.R., & Zhang, B. (2007). Robust control system design using proportional plus partial state feedback. Acta Automatica Sinica, 33, 506–510.
  • Faria, F.A., Assunção, E., Teixeira, M.C.M., Cardim, R., & da Silva, N.A.P. (2009). Robust state derivative feedback pole placement LMI-based designs for linear systems. International Journal of Control, 82(1), 1–12.
  • Golnaraghi, F., & Kuo, B.C. (2010). Automatic control systems (9th ed.). Hoboken, NJ: John Wiley & Sons.
  • Guo, G., Ma, Z., & Qiao, J. (2006). State-PID feedback control with application to a robot vibration absorber. International Journal Modelling, Identification & Control, 1(1), 38–43.
  • Hamamci, S.E., & Koksal, M. (2010). Calculation of all stabilizing fractional-order PD controllers for integrating time delay systems. Computers & Mathematics with Applications, 59(5), 1621–1629.
  • Horn, R.A., & Johnson, C.R. (2013). Matrix analysis (2nd ed.). New York, NY: Cambridge University Press.
  • Jing, H. (1994). Eigenstruture assignment by proportional-derivative state-feedback in singular systems. Systems & Control Letters, 22, 47–52.
  • Kautsky, J., Nichols, N.K., & Van Dooren, P. (1985). Robust pole assignment in linear state feedback. International Journal of Control, 41(5), 1129–1155.
  • Miminis, G.S., & Paige, C.C. (1988). A direct algorithm for pole assignment of time invariant multi-input linear systems using state feedback. Automatica, 24, 343–356.
  • Mohamed, Z., Khairudin, M., Husain, A.R., & Subudhi, B. (2016). Linear matrix inequality-based robust proportional derivative control of a two-link flexible manipulator. Journal of Vibration & Control, 22(5), 1244–1256.
  • Nandi, A., Neogy, S., & Irretier, H. (2009). Vibration control of a structure and a rotor using one-sided magnetic actuator and a digital proportional-derivative control. Journal of Vibration & Control, 15(2), 163–181.
  • Owens, T.J., & Askarpour, S. (2000). Integrated approach to eigenstructure assignment in descriptor systems by PD and P state feedback. IEE Proceeding of Control Theory & Applications, 147, 407–415.
  • Petkov, P., Christov, N.D., & Konstantinov, M.M. (1986). A computational algorithm for pole assignment of linear multiinput systems. IEEE Transactions on Automatic Control, 31, 1044–1047.
  • Ren, J., & Zhang, Q. (2013). Positive real control for descriptor systems with uncertainties in the derivative matrix via a proportional plus derivative feedback. International Journal of System Science, 44(3), 450–460.
  • Reyes, F., & Rosado, A. (2005). Polynomial family of PD-type controllers for robot manipulators. Control Engineering Practice, 13(4), 441–450.
  • Seraji, H., & Tarokh, M. (1977). Design of proportional-plus-derivative output feedback for pole assignment. Proceedings of the IEE, 124(8), 729–732.
  • Sujitjorn, S., & Wiboonjaroen, W. (2011). State-PID feedback for pole placement of LTI systems. Mathematical Problems in Engineering, 2011, 20.
  • Syrmos, V.L., & Lewis, F.L. (1991). A geometric approach to proportional plus derivative feedback using quotient and partitioned subspaces. Automatica, 27, 349–369.
  • Tits, A., & Yang, Y. (1996). Globally convergent algorithms for robust pole assignment by state feedback. IEEE Transactions on Automatic Control, 41, 1432–1552.
  • Tsui, C.C. (1986). An algorithm for computing state feedback in multiinput linear systems. IEEE Transactions on Automatic Control, 31, 243–245.
  • Yu, H.H. (2016). Parametric stabilization of descriptor linear systems via state-proportional and -derivative feedback. Journal of Franklin Institute, 353, 992–1004.
  • Zhang, B. (2011). Parametric eigenstructure assignment for descriptor systems via proportional plus derivative state feedback. International Journal of Control, Automation & Systems, 9, 15–22.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.