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A separation theorem for robust pole placement of discrete-time linear control systems with full-order observers. (English) Zbl 1156.93341

Summary: We derive a separation theorem for robust pole placement of discrete-time linear control systems with full-order observers. This separation theorem basically demonstrates that we can realize robust pole placement in an \(n\)-dimensional multivariable discrete-time linear control system using a full-order observer-based state feedback control law by means of solving two separate \(n\)-dimensional robust pole placement problems. This paper is a discrete-time version of the work by Duan et al. [G. Duan, S. Thompson, G. Liu, Separation principle for robust pole assignment - An advantage of full-order state observers, in: G.-R. Duan, S. Thompson and G.-P. Liu, in: Proceedings of the 38th IEEE Conference on Decision and Control. Vol. I, 76–78, IEEE, 1999].

MSC:

93B55 Pole and zero placement problems
93B35 Sensitivity (robustness)
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References:

[1] Decarlo, R. A., Linear Systems (1989), Prentice-Hall: Prentice-Hall New Jersey
[2] Luenberger, D. G., An introduction to observers, IEEE Transactions on Automatic Control, AC-16, 596-602 (1971)
[3] Kautsky, J.; Nichols, N. K.; Van Dooren, P., Robust pole assignment in linear state feedback, International Journal of Control, 41, 1129-1155 (1985) · Zbl 0567.93036
[4] Duan, G. R., Simple algorithm for robust eigenvalue assignment in linear output feedback, IEE Proceedings, Part D: Control Theory and Applications, 139, 465-469 (1992) · Zbl 0850.93315
[5] Duan, G. R., Robust eigenstructure assignment via dynamical compensators, Automatica, 29, 469-474 (1993) · Zbl 0772.93048
[6] G. Duan, S. Thompson, G. Liu, Separation principle for robust pole assignment — An advantage of full-order state observers, in: Proc. 38th IEEE Conf. Decision & Control, Phoenix, Arizona, 1999, pp. 76-78; G. Duan, S. Thompson, G. Liu, Separation principle for robust pole assignment — An advantage of full-order state observers, in: Proc. 38th IEEE Conf. Decision & Control, Phoenix, Arizona, 1999, pp. 76-78
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