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Type: | Artigo |
Title: | A new methodology to compute stabilizing control laws for continuous-time LTV systems |
Author: | Agulhari, Cristiano M. Garcia, Germain Tarbouriech, Sophie Peres, Pedro L. D. |
Abstract: | This paper is devoted to the problem of computing control laws for the stabilization of continuous‐time linear time‐varying systems. First, a necessary and sufficient condition to assess the stability of a linear time‐varying system based on the norm of the transition matrix computed over a sequence of successive finite‐time intervals is proposed. A link with a stability condition for an equivalent discrete‐time model is also established. Then, 3 approaches for the computation of stabilizing state‐feedback gains are proposed: a continuous‐time technique, ie, directly derived from the stability condition, not suitable for numerical implementation; a method based on the stabilization of the discrete‐time equivalent model along with a transformation to generate the desired continuous‐time gain; and the computation of stabilizing gains for a set of periodic discrete‐time systems. Finally, by adapting one of the existing methods for the stabilization of periodic discrete‐time systems, an algorithm for the computation of a stabilizing state‐feedback continuous‐time gain is proposed. A numerical example illustrates the validity of the technique |
Subject: | Análise de sistemas |
Country: | Reino Unido |
Editor: | John Wiley & Sons |
Rights: | Fechado |
Identifier DOI: | 10.1002/rnc.4120 |
Address: | https://onlinelibrary.wiley.com/doi/full/10.1002/rnc.4120 |
Date Issue: | 2018 |
Appears in Collections: | FEEC - Artigos e Outros Documentos |
Files in This Item:
File | Description | Size | Format | |
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000439507100013.pdf | 573.55 kB | Adobe PDF | View/Open |
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