A New Control Law for TS Fuzzy Models: Less Conservative LMI Conditions by Using Membership Functions Derivative
<|reference_start|>A New Control Law for TS Fuzzy Models: Less Conservative LMI Conditions by Using Membership Functions Derivative: This note proposes a new type of Parallel Distributed Controller (PDC) for Takagi-Sugeno (TS) fuzzy models. Our idea consists of using two control terms based on state feedback, one composed of a convex combination of linear gains weighted by the normalized membership grade, as in traditional PDC, and the other composed of linear gains weighted by the time-derivatives of the membership functions. We present the design conditions as Linear Matrix Inequalities, solvable through numerical optimization tools. Numerical examples are given to illustrate the advantages of the proposed approach, which contains the the traditional PDC as a special case.<|reference_end|>
@article{mozelli2024a,
    title={A New Control Law for TS Fuzzy Models: Less Conservative LMI Conditions
  by Using Membership Functions Derivative},
    author={Leonardo Amaral Mozelli and Victor Costa da Silva Campos},
    journal={arXiv preprint arXiv:2408.08467},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.08467},
    primaryClass={eess.SY cs.SY}
}