Constrained RHC for LPV systems with bounded rates of parameter variations |
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Authors: | PooGyeon Park [Author Vitae] Seung Cheol Jeong [Author Vitae] |
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Affiliation: | ECE Division, Pohang University of Science and Technology, Pohang, Kyungbuk 790-784, South Korea |
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Abstract: | This paper studies a stabilization problem of polytopically uncertain linear parameter varying systems with input constraints and bounded rates of parameter variations. In the framework of finite receding horizon control (RHC), a system containing “parameter” uncertainties is modified into a system with “parameter-incremental” uncertainties within each horizon. For the system modified in this manner, a robust RHC is designed by solving an optimization problem at each time instant. Based on the feasibility of the problem and the optimality of its solution, the closed-loop system stability is guaranteed. A numerical example is included to illustrate the validity of the results. |
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Keywords: | Receding horizon control Linear parameter varying systems Bounded rates of parameter variations Input constraints Closed-loop stability |
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