Bilinear Polynomial Fuzzy System Control

Project Details

Description

In this NSC proposal, we study a fuzzy bilinear feedback control problem for both continuous- and discrete-time polynomial fuzzy systems which are modeled as a Takagi-Sugeno fuzzy bilinear model. Based on homogeneous Lyapunov functions to guarantee energy decreasing for the bilinear systems, a set of stabilization conditions is obtained. The protruding feature for choosing homogeneous Lyapunov functions is the removal of dot P(x), for all xi in x for the continuous-time case. As to the discrete-time case, the structure of P(\tilde x) is formed by those states xi \in \tilde x whose Bi(x)=0 (i.e., states not being affected by it corresponding input due to Bi(x)=0).
StatusFinished
Effective start/end date1/08/2031/07/21

Keywords

  • polymomial fuzzy systems
  • Homogeneous Lyapunov functions
  • sum of squares
  • bilinear systems

Fingerprint

Explore the research topics touched on by this project. These labels are generated based on the underlying awards/grants. Together they form a unique fingerprint.