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International Journal of Control Volume 90, 2017 - Issue 7
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Original Articles

Static state feedback triangular block decoupling for arbitrary systems: a state-space method

Mingxing LiThe Seventh Research Division and the Center for Information and Control, School of Automation Science and Electrical Engineering, Beihang University (BUAA), Beijing, ChinaCorrespondence[email protected] [email protected]
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,
Yingmin JiaThe Seventh Research Division and the Center for Information and Control, School of Automation Science and Electrical Engineering, Beihang University (BUAA), Beijing, ChinaView further author information
&
Hong LiuThe State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, ChinaView further author information
Pages 1428-1436 | Received 07 Dec 2015, Accepted 27 Jun 2016, Published online: 27 Jul 2016

References

  • Chu, D., Malabre, M., & Tan, R.C.E. (2009). State feedback decoupling problem with stability for (A, B, C, D) quadruples, SIAM Journal on Matrix Analysis and Applications, 30(4), 1735–1760.
  • Chu, D., & Tan, R.C.E. (2002a). Numerically reliable computation for the row by row decoupling problem with stability. SIAM Journal on Matrix Analysis and Applications, 23(4), 1143–1170.
  • Chu, D., & Tan, R.C.E. (2002b). Solvability conditions and parameterization of all solutions for the triangular decoupling problem. SIAM Journal on Matrix Analysis and Applications, 23(4), 1171–1182.
  • Commault, C., & Dion, J.M. (1983). Transfer matrix approach to the triangular block decoupling problem. Automatica, 19(5), 533–542.
  • Datta, B.N. (2003). Numerical methods for linear control systems: design and analysis. New York, NY: Elsevier Academic Press.
  • Descusse, J., & Lizarzaburu, R. (1979). Triangular decoupling and pole placement in linear multivariate systems. International Journal of Control, 30(1), 139–152.
  • Frederick, D.K., Garg, S., & Adibhatla, S. (2000). Turbofan engine control design using robust multivariable control technologies. IEEE Transactions on Control Systems Technology, 8(6), 961–970.
  • Gilbert, E.G. (1969). The decoupling of multivariable systems by state feedback. SIAM Journal on Control, 7(1), 50–63.
  • Gómez, G.I., & Goodwin, G.C. (2000). An algebraic approach to decoupling in linear multivariable systems. International Journal of Control, 73(7), 582–599.
  • Jia, Y. (2000). Robust control with decoupling performance for steering and traction of 4WS vehicles under velocity-varying motion. IEEE Transactions on Control Systems Technology, 8(3) 554–569.
  • Koumboulis, F.N. (1996). Input-output triangular decoupling and data sensitivity. Automatica, 32(4), 569–573.
  • Koumboulis, F.N., & Skarpetis, M.G. (2000). Robust triangular decoupling with application to 4WS cars. IEEE Transactions on Automatic Control, 45(2), 344–352.
  • Li, M., Jia, Y., Du, J., & Zhang, J. (2014). Input-output decoupling by output feedback with disturbance attenuation of H ∞ control for any square system. International Journal of Control, 87(10), 1999–2011.
  • Liu, X.P., Wang, X.H., & Ho, D.W.C. (2000). Input-output block decoupling of linear time-varying singular systems. IEEE Transactions on Automatic Control, 45(2), 312–C318.
  • Morse, A.S., & Wonham, W.M. (1970). Triangular decoupling of linear multivariable systems. IEEE Transactions on Automatic Control, 15(4), 447–449.
  • Nguyen, H.T., & Su, S.W. (2009). Conditions for triangular decoupling control. International Journal of Control, 82(9), 1575–1581.
  • Shimizu, K., & Matsubara, M. (1985). Triangular decoupling for a binary distillation column under pressure control. IEEE Transactions on Automatic Control, 30(5), 474–477.
  • Vafiadis, D., & Karcanias, N. (2003). Block decoupling and pole assignment of singular systems: A frequency domain approach. International Journal of Control, 76(2), 185–192.
  • Wang, S.H. (1972). Relationship between triangular decoupling and invertibility of linear multivariable systems. International Journal of Control, 15(2), 395–399.
  • Williams, T.W.C., & Antsaklis, P.J. (1986). A unifying approach to the decoupling of linear multivariable systems. International Journal of Control, 44(1), 181–201.

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