H∞ and mixed H2/H∞ control of discrete-time T--S fuzzy systems with local nonlinear models

  • Authors:

  • Jiuxiang Dong;Youyi Wang;Guang-Hong Yang

  • Affiliations:

  • College of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China and Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeas ...;School of Electrical and Electronics Engineering, Nanyang Technological University, Singapore;College of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China and Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeas ...

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2011

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Abstract

Abstract: This paper addresses the H"~ and mixed H"2/H"~ control synthesis problems of nonlinear discrete-time systems, which are represented by a new type of T-S fuzzy models. The fuzzy systems consist of local nonlinear models and are with fewer fuzzy rules than the conventional T-S fuzzy systems with local linear models. A fuzzy control scheme with local nonlinear feedbacks is proposed and H"~ and mixed H"2/H"~ control synthesis conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing conditions for designing fuzzy controllers, the new ones can be used to design fuzzy controllers based on fewer control rules as well as are with less computational burden. In particular, the new methods can also give less conservative results. A numerical example is given to illustrate the effectiveness of the proposed methods.