More relaxed stability analysis and positivity analysis for positive polynomial fuzzy systems via membership functions dependent method

In this paper, the conservatism source of positivity and stability analysis results positive polynomial fuzzy-model-based (PPFMB) control system are studied. Also, in order to improve flexibility controller design, a fuzzy that does not depend on membership functions model is designed. existing literatures, it proved LCLF can reduce results. However, generally non-convex conditions which still source. To handle conditions, sector nonlinear concept applied terms obstacles caused by mismatched be eliminated PLMF dependent method. addition, relax lack information, performed for first time. Meanwhile, method extended obtained more relaxed conditions. Finally, simulation example presented verify feasibility