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
1. Verfasser: Hsiao, Feng‐Hsiag
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.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.2474