Simultaneous external and internal stabilization of linear systems with input saturation and non-input-additive sustained disturbances |
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| Authors: | Xu Wang Ali Saberi Håvard Fjær Grip Anton A. Stoorvogel |
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| Affiliation: | 1. Department of Automation, University of Science and Technology of China, Hefei 230027, China;2. School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, NSW 2751, Australia;3. State Key Laboratory of Fire Science, Institute of Advanced Technology, University of Science and Technology of China, Hefei 230027, China;4. Key Laboratory of Technology in Geo-Spatial Information Processing and Application System, Chinese Academy of Sciences, Beijing 100190, China |
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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. |
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