Remarks on the Stabilization Problem for Linear Finite-Dimensional Systems

• Autorzy: Nambu T.

Identyfikatory

DOI

10.4064/ba62-1-9

• Języki publikacji: EN

Abstrakty

EN

The celebrated 1967 pole assignment theory of W. M. Wonham for linear finite-dimensional control systems has been applied to various stabilization problems both of finite and infinite dimension. Besides existing approaches developed so far, we propose a new approach to feedback stabilization of linear systems, which leads to a clearer and more explicit construction of a feedback scheme.

Słowa kluczowe

EN

stabilization; pole assignment in linear systems; observability; static feedback scheme

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: Vol. 62, no 1
• Strony: 87--99
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Nambu T.

• Department of Applied Mathematics Graduate School of System Informatics Kobe University Nada, Kobe 657-8501, Japan

Bibliografia

• [1] R. Bhatia and P. Rosenthal, How and why to solve the operator equation AX-XB = Y , Bull. London Math. Soc. 29 (1997), 1{21.
• [2] S. P. Bhattacharyya and E. de Souza, Pole assignment via Sylvester's equation, Systems Control Lett. 1 (1982), 261{263.
• [3] E. K. Chu, A pole-assignment algorithm for linear state feedback, Systems Control Lett. 7 (1986), 289{299.
• [4] K. Datta, The matrix equation XA - � BX = R and its applications, Linear Algebra Appl. 109 (1988), 91{105.
• [5] T. Nambu, Alternative algebraic approach to stabilization for linear parabolic boundary control systems, Math. Control Signals Systems 26 (2014), 119{144.
• [6] T. Nambu, Algebraic multiplicities arising from static feedback control systems of parabolic type, Numer. Funct. Anal. Optim. (2014) (online).
• [7] W. M.Wonham, On pole assignment in multi-input controllable linear systems, IEEE Trans. Automat. Control 12 (1967), 660{665.