摘要: In this paper a new numerical algorithm for pole assignment of linear time-invariant systems is presented. The proposed uses reliable techniques based on the Schur form state matrix and use orthogonal transformations. Only "bad" eigenvalues system are modified by sequential pole-shifting procedure, resulted gains in feedback minimized.
sci-hub.se 参考文章(5)
J. Aplevich, Direct computation of canonical forms for linear systems by elementary matrix operations IEEE Transactions on Automatic Control. ,vol. 19, pp. 124- 126 ,(1974) , 10.1109/TAC.1974.1100523
J.D. Simon, S.K. Mitter, A theory of modal control Information & Computation. ,vol. 13, pp. 316- 353 ,(1968) , 10.1016/S0019-9958(68)90834-6
G. W. Stewart, Algorithm 506: HQR3 and EXCHNG: Fortran Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper Hessenberg Matrix [F2] ACM Transactions on Mathematical Software. ,vol. 2, pp. 275- 280 ,(1976) , 10.1145/355694.355700
E. Davison, S. Chow, An algorithm for the assignment of closed-loop poles using output feedback in large linear multivariable systems IEEE Transactions on Automatic Control. ,vol. 18, pp. 74- 75 ,(1973) , 10.1109/TAC.1973.1100212
G. H. Golub, J. H. Wilkinson, Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form SIAM Review. ,vol. 18, pp. 578- 619 ,(1976) , 10.1137/1018113