| Nonlinear Output Feedback Design for Linear Systems With Saturating Controls (1990) | |||||||||||||||||
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| This paper shows the existence of (nonlinear) smooth dynamic feedback stabilizers for linear time invariant systems under input constraints, assuming only that open-loop asymptotic controllability and detectability hold. 1 Introduction The study of actuator saturation in linear control design has a long history; see for instance [1], in particular Chapter 12 on dual-mode regulators, and the references given there. The search for controllers of systems subject to such saturation can be seen as a problem in nonlinear control, and that is the point of view taken here. In particular, we look at questions of stabilization, an area that has witnessed a large amount of activity during the last few years (see for instance [6] for a survey and many bibliographical references). In this paper we provide a general result on smooth stabilizability under minimal (and clearly necessary) hypotheses. The systems that we deal with have the form x = Ax + B `(u) (SYS) where A and B are n \Theta n and n ... | |||||||||||||||||
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