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Semi-Global Stabilization of Linear Discrete-Time Systems Subject to Input Saturation via Linear Feedback - An ARE-Based Approach (1996)

Abstract
We revisit the problem of semi-global stabilization of linear discrete-time systems subject to input saturation and give an algebraic Riccati equation (ARE)-based approach to the proof of a fact we established earlier ([?]), i.e., a linear discrete-time system subject to input saturation is semi-globally stabilizable via linear feedback as long as the linear system in the absence of the saturation is stabilizable and detectable and all its open loop poles are located inside or on the unit circle. Moreover, we drastically relax the requirements on the characteristic of the saturation elements as imposed in our earlier work [?]. 1 1. Introduction In this paper we revisit the problem of stabilizing a general linear system which is subject to input saturation. Over the last few years, there has been rather strong interest in this problem, possibly due to a wide recognition of the inherent constraints on the control input. As a result, several important results have appeared in the open ...

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Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=?doi=10.1.1.45.4354
Source ftp://ftp.eecs.wsu.edu/pub/saberi/saturation-papers/dl4lare6.ps
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Type text
Language English
Relation 10.1.1.52.9463, 10.1.1.48.1810, 10.1.1.51.3711, 10.1.1.47.3711, 10.1.1.54.5334, 10.1.1.48.7304, 10.1.1.55.8532, 10.1.1.48.7923, 10.1.1.124.728