Single stage algorithms for pole placement using static output feedback

• Autorzy: Kuźmiński K. , Krawiecki M.
• Języki publikacji: EN

Abstrakty

EN

Paper presents effective formulae, enabling transfer matrix pole assignment. This is accomplished by the use of generalized matrix inverses and the Kronecker product. All the desired pole distributions are covered - namely simple and multiple, real and complex. On this basis one-stage algorithms were developed, avoiding commonly used reduced orthogonality condition. Computational example of the presented algorithms is given.

Słowa kluczowe

EN

time-invariant linear systems; static output feedback; pole placement; Kronecker product; generalized inverse

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2007
• Tom: Vol. 36, no 4
• Strony: 939--969
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Kuźmiński K.

autor

Krawiecki M.

• Institute of Automatic Control, Technical University of Łódź, Stefanowskiego 18/22, 90-924 Łódź, Poland,

Bibliografia

• ASKARPOUR, S. and OWENS, T.J. (1997) Integrated approach to eigenstructure assignment by output feedback control. IEE Proceedings Control Theory Applications 144(5), 435-438.
• ASKARPOUR, S. and OWENS, T.J. (1998) Integrated approach to eigenstructure assignment by output feedback: The case of multiple eigenvalues. IEE Proceedings - Control Theory Applications 145(3), 265 268.
• ASKARPOUR, S. and OWENS, T. J. (1999) Eigenstructure assignment by output feedback: The case of common open- and closed-loop characteristic vectors. IEE Proceedings - Control Theory Applications 146(10), 37 40.
• CLARKE, T. and GRIFFIN, S.J. (2004) An addendum to output feedback eigenstucture assignment: retro-assignment. International Journal of Control 77(1), 78-85.
• CLARKE, T., GRIFFIN, S.J. and ENSOR, J. (2003) Output feedback eigenstructure assignment using a new reduced orthogonality condition. International Journal of Control 76(4), 390-402.
• FAHMY, M.M. and O'REILLY, J. (1982) On Eigenstructure Assignment in Linear Multivariable Systems. IEEE Transactions on Automatic Control AC-27(3), 690-693.
• FAHMY, M.M. and O'REILLY, J. (1983) Eigenstructure Assignment in Linear Multivariable Systems - A Parametric Solution. IEEE Transactions on Automatic Control AC-28(10), 990-994.
• FAHMY, M.M. and O'REILLY, J. (1988) Parametric eigenstructure assignment by output-feedback control: the case of multiple eigenvalues. International Journal of Control 48(4), 1519-1535.
• FLETCHER, L.R. (1987) Exact pole assignment by output feedback. Part 2. International Journal of Control 45(6), 2009-2019.
• FLETCHER, L.R. and MAGNI, J.F. (1987) Exact pole assignment by output feedback. Part 1. International Journal of Control 45(6), 1995-2007.
• FLETCHER, L.R., KAUTSKY, J., KOLKA, G.K.G. and NICHOLS, N.K. (1985) Some necessary and sufficient conditions for eigenstructure assignment. International Journal of Control 42(6), 1457-1468.
• KIMURA, H. (1977) A Further Result on the Problem of Pole Assignment by Output Feedback. IEEE Transactions on Automatic Control AC-22, 458-463.
• MAGNI, J.-F. (1987) Exact pole assignment by output feedback. Part 3. International Journal of Control 45(6), 2021-2033.
• ROPPENECKER, G. and O'REILLY (1989) Parametric Output Feedback Controller Design. Automatica 25(2), 259-265.
• ROSENTHAL, J. and WlLLEMS, J. C. (1998) Open problems in the area of pole placement. In: V. D. Blondel, E. D. Sontag, M. Vidyasager, and J. C. Willems, eds., Open Problems in Mathematical Systems and Control Theory, Chapter 37. Springer Verlag, 181-191.
• SYRMOS, V.L., ABDALLAH, C.T., DORATO, P. and GRIGORIADIS, K. (1997) Static Output Feedback - A Survey. Automatica. 33(2), 125-137.
• VAN LOAN, CH. F. (2000) The ubiquitous Kronecker product. Journal of Computational and Applied Mathematics 123, 85-100.
• ZIELKE, G. (1984) A survey of generalized matrix inverses. Volume 13 of Banach Center Publications. Computational Mathematics, Polish Scientific Publishers, 499 526.