Tracking Control Design for Positive T-S Fuzzy Systems Under H∞ Performance

Abstract

This paper is dedicated to study the tracking control problem of the positive T-S Fuzzy systems under H∞ performance. Compared with general systems, the limitation of the positive systems will bring non-convex conditions into the stability analysis. In order to overcome the challenge brought by the transformation of non-convex conditions into convex conditions, a feasible solution is presented. In addition, by using the piecewise-linear membership functions (PLMFs) technology, more effective information of membership functions (MFs) is introduced, which effectively weakens the conservativeness of the stability conditions and achieves satisfactory tracking results. Ultimately, a simulation example is shown to confirm the reliability of the design method.