Arbitrary pole placement with the extended Kautsky–Nichols–van Dooren parametric form
作者： Robert Schmid , Lorenzo Ntogramatzidis , Thang Nguyen , None
DOI: 10.1080/00207179.2015.1129559
关键词:
摘要: ABSTRACTWe consider the classic problem of pole placement by state feedback. The well-known eigenstructure assignment algorithm Kautsky, Nichols, and van Dooren is extended to obtain a parametric formula for pole-placing feedback matrix that can deliver any desired closed-loop eigenvalues, with multiplicities.
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Walter Rudin, Real and complex analysis, 3rd ed. McGraw-Hill, Inc.. ,(1987)
Mario Ahués, Françoise Chatelin, Walter Ledermann, Eigenvalues of matrices Society for Industrial and Applied Mathematics. ,(2012)
Katsuhiko Ogata, Modern control engineering (3rd ed.) Prentice-Hall, Inc.. ,(1996)
Zhen-chen Guo, Yun-feng Cai, Jiang Qian, Shu-fang Xu, A modified Schur method for robust pole assignment in state feedback control Automatica. ,vol. 52, pp. 334- 339 ,(2015) , 10.1016/J.AUTOMATICA.2014.12.028
J. KAUTSKY, N. K. NICHOLS, P. VAN DOOREN, Robust pole assignment in linear state feedback International Journal of Control. ,vol. 41, pp. 1129- 1156 ,(1985) , 10.1080/0020718508961188
Ralph Byers, Stephen G. Nash, Approaches to robust pole assignment International Journal of Control. ,vol. 49, pp. 97- 117 ,(1989) , 10.1080/00207178908559623
Mustapha Ait Rami, Samira El Faiz, Abdellah Benzaouia, Fernando Tadeo, Robust Exact Pole Placement via an LMI-Based Algorithm IEEE Transactions on Automatic Control. ,vol. 54, pp. 394- 398 ,(2009) , 10.1109/TAC.2008.2008358
Robert Schmid, Lorenzo Ntogramatzidis, Thang Nguyen, Amit Pandey, None, A unified method for optimal arbitrary pole placement Automatica. ,vol. 50, pp. 2150- 2154 ,(2014) , 10.1016/J.AUTOMATICA.2014.06.006
J. H. Wilkinson, The algebraic eigenvalue problem ,(1965)
G. P. LIU, R. J. PATTON, Robust control design based on parametric eigenvalue assignment International Journal of Systems Science. ,vol. 29, pp. 65- 74 ,(1998) , 10.1080/00207729808929497