Control synthesis of continuous-time T-S fuzzy systems with local nonlinear models

  • Authors:

  • Jiuxiang Dong;Youyi Wang;Guang-Hong Yang

  • Affiliations:

  • College of Information Sci. and Eng. and the Key Lab. of Integrated Automation of Process Industry, Northeastern Univ., Shenyang, China and School of Electrical and Electronics Eng., Nanyang Techn ...;School of Electrical and Electronics Engineering, Nanyang Technological University, Singapore;College of Information Science and Eng. and the Key Lab. of Integrated Automation of Process Industry, Northeastern Univ., Shenyang, China

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
  • Year:
  • 2009

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Abstract

This paper is concerned with the problem of designing fuzzy controllers for a class of nonlinear dynamic systems. The considered nonlinear systems are described by T-S fuzzy models with nonlinear local models, and the fuzzy models have fewer fuzzy rules than conventional T-S fuzzy models with local linear models. A new fuzzy control scheme with local nonlinear feedbacks is proposed, and the corresponding control synthesis conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing methods for fuzzy control synthesis, the new proposed control design method is based on fewer fuzzy rules and less computational burden. Moreover, the local nonlinear feedback laws in the new fuzzy controllers are also helpful in achieving good control effects. Numerical examples are given to illustrate the effectiveness of the proposed method.