Journal of Northeastern University ›› 2007, Vol. 28 ›› Issue (6): 765-768.DOI: -

• OriginalPaper • Previous Articles     Next Articles

Robust and decentralized fuzzy hyperbolic H control of a class of nonlinear large-scale systems

Liu, Xin-Rui (1); Zhang, Hua-Guang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-06-15 Published:2013-06-24
  • Contact: Liu, X.-R.
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Abstract: Robust fuzzy hyperbolic H control of nonlinear large-scale systems with parametric uncertainties is studied introducing the fuzzy hyperbolic model (FHM) to approximate to some complex large-scale systems. Then, according to the direct Lyapunov method and decentralized control theory of large-scale systems, a state feedback H controller based on FHM is used such that the sufficient condition can be given in terms of linear matrix inequalities to enable the systems to satisfy the H performance indices. The superiority of FHM over Takagi-Sugeno (T-S) fuzzy model in practice is mainly that no identification of premise structure and complete parameter space are needed, especially FHM costs obviously less than T-S fuzzy model in computation when a lot of fuzzy rules are needed to approximate to highly complex nonlinear systems. A simulation example is given to illustrate the feasibility and validity of the design procedure proposed.

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