Simultaneous external and internal stabilization of linear systems with input saturation and non-input-additive sustained disturbances

Authors:
Xu Wang;Ali Saberi;HåVard FjæR Grip;Anton A. Stoorvogel
Affiliations:
School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USA;School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USA;School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USA;Department of Electrical Engineering, Mathematics, and Computing Science, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
Venue:
Automatica (Journal of IFAC)
Year:
2012

Citing 11
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Abstract

In this paper, we study simultaneous external and internal stabilization of the linear system under input saturation and non-input additive sustained disturbances. For systems that are asymptotic null controllable with bounded control, it is shown that a nonlinear dynamic feedback controller can be designed so that the closed-loop states remain bounded for any initial condition and for two classes of sustained disturbances, and that the equilibrium in the absence of disturbances is globally asymptotically stable.