The Pole Shifting Theorem Revisited

The results developed in this note also apply to multiinput multioutput systems using unity-rank output feedback matrices. Example: For the system [I] A. Jameson, "Design of singbinput systems for specilied roots using output feedback," IEEE Tram. Automat. Conrr., vol. AC-15, pp. 345-348, 1970. [Z] E. J. Davison, "On pole assignment in linear systems with incomplete state feedback," IEEE Tram. Automot. Corm., vol. AC-15, pp. 348-351, 1970. 131 B. Sridhar and D. P. Lindorff, "Pole-placement with constant gain output feedback,* IJU. J. Contr., vol. IS, no. 5. pp. 993-1003. 1973. [4] F. Fallside and €I. Seraji, "Pole-shifting procedure for multivariable systems using output feedback," Proc. ImL Ekc. Eng., vol. 118, no. 11, pp. 1648-1654, 1971. [5] H. Seraji. " k t method for pole assignment in singbinput systems with output fdback," Electron Lett., vol. IO. no. 12, pp. X3-244, 1974. [q -, "Unattainability of certain pole positions in singbinput systems with output fadback," Int. J. Confr., VOL 22, no. 1, pp. 119-123, 1975.