Abstract
In this paper we show that for both continuous-time and discrete-time critically unstable linear systems with saturating actuators one can not simultaneously achieve the global internal stabilization and the global finite-gain L p (ℓp) performance whenever the external input (disturbance) is not input-additive. However, one can achieve the global internal stabilization and global L p (ℓp) stabilization (without finite-gain) for any p ε [1, ∞).
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References
X. Bao, Z. Lin, and E. D. Sontag. Finite gain stabilization of discrete-time linear systems subject to actuator saturation. Submitted for publication, 1998.
P. Hou, A. Saberi, and Z. Lin. On ℓp-stabilization of strictly unstable discrete-time linear systems with saturating actuators. Int. J. Robust & Nonlinear Control, 8:1227–1236, 1998.
P. Hou, A. Saberi, Z. Lin, and P. Sannuti. Simultaneously external and internal stabilization for continuous and discrete-time critically unstable systems with saturating actuators. Automatica, 34(12):1547–1557, 1998.
Z. Lin, A. Saberi, and A. Teel. The almost disturbance decoupling problem with internal stability for linear systems subject to input saturation — state feedback case. Automatica, 32:619–624, 1996.
Z. Lin, A. Saberi, and A.R. Teel. Simultanuous l p-stabilization and internal stabilization of linear systems subject to input saturation — state feedback case. Syst. & Contr. Letters, 25:219–226, 1995.
W. Liu, Y. Chitour, and E.D. Sontag. On finite-gain stabilizability of linear systems subject to input saturation. SIAM J. Contr. & Opt., 34(4):1190–1219, 1996.
A. Megretski. L 2 BIBO output feedback stabilization with saturated control. In Proc. 13th IFAC world congress, volume D, pages 435–440, San Francisco, 1996.
Ali Saberi, Ping Hou, and Anton A. Stoorvogel. On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators. Available from ftp://ftp.win.tue.nl/pub/techreports/wscoas/global.ps, 1997.
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© 1999 Springer-Verlag London Limited
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Stoorvogel, A.A., Saberi, A., Shi, G. (1999). On achieving L p (ℓp) performance with global internal stability for linear plants with saturating actuators. In: Garulli, A., Tesi, A. (eds) Robustness in identification and control. Lecture Notes in Control and Information Sciences, vol 245. Springer, London. https://doi.org/10.1007/BFb0109874
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DOI: https://doi.org/10.1007/BFb0109874
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