Robust H∞ fuzzy control design for dithered nonlinear large‐scale systems with multiple time delays
Summary A novel approach is proposed in this study to stabilize nonlinear multiple time‐delay (NMTD) large‐scale systems via a composite of fuzzy controllers and dithers. Moreover, a delay‐dependent stability criterion is derived from Lyapunov's direct method. According to this criterion and th...
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Veröffentlicht in: | Optimal control applications & methods 2019-03, Vol.40 (2), p.203-225 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Summary
A novel approach is proposed in this study to stabilize nonlinear multiple time‐delay (NMTD) large‐scale systems via a composite of fuzzy controllers and dithers. Moreover, a delay‐dependent stability criterion is derived from Lyapunov's direct method. According to this criterion and the decentralized control scheme, a set of model‐based fuzzy controllers is synthesized to stabilize the NMTD large‐scale system and the H∞ control performance is achieved at the same time. If the designed fuzzy controllers cannot stabilize the NMTD large‐scale system, a set of dithers (as the auxiliaries of fuzzy controllers) is simultaneously introduced to stabilize the NMTD large‐scale system. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this paper. |
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ISSN: | 0143-2087 1099-1514 |
DOI: | 10.1002/oca.2474 |