Stability Analysis of T-S Fuzzy Control Systems Based on Parameter-dependent Lyapunov Function
DINGBao-Cang, SUNHe-Xu, QIAOYu-E · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2005
For discrete-time T-S fuzzy systems, the stability and controller design method are investigated based on parameter-dependent Lyapunov function (PDLF). T-S fuzzy systems differ from non-fuzzy systems with polytopic description or multi-model description in that the weighting coefficients have respective meanings. They, however, have stability aspect in common. By adopting a stability condition for polytopic systems obtained via PDLF, and combining the properties of T-S fuzzy systems, new results are given in this paper. An example shows that by applying the new results, the stability conditions that can be distinguished are less conservative.