Static output feedback stabilization of discrete time linear time invariant systems based on approximate dynamic programming
Date
2020
Authors
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Source Title
Transactions of the Institute of Measurement and Control
Print ISSN
0142-3312
Electronic ISSN
Publisher
SAGE Publications
Volume
42
Issue
16
Pages
3168 - 3182
Language
English
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Journal Title
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Abstract
This study proposes a method for the static output feedback (SOF) stabilization of discrete time linear time invariant (LTI) systems by using a low number of sensors. The problem is investigated in two parts. First, the optimal sensor placement is formulated as a quadratic mixed integer problem that minimizes the required input energy to steer the output to a desired value. Then, the SOF stabilization, which is one of the most fundamental problems in the control research, is investigated. The SOF gain is calculated as a projected solution of the Hamilton-Jacobi-Bellman (HJB) equation for discrete time LTI system. The proposed method is compared with several examples from the literature.