Time-varying fuzzy sets in adaptive control

New time-varying fuzzy sets based on a PSO midpoint of the universe of discourse

“…1. The displacements of this midpoint are characterized by a continuous function depending on the error [23] , where Fig. 3 presents a case where α(t) is displaced to the left side, then the membership grade of the z2(t) premise variable is considerably increased, while those of the z1(t) premise variable is slightly decreased.…”

“…By the PSO approach, we get a large FOS compared with the adaptive approach [23] , provided that control effort and time of application is enough. This is explained by the good results, especially the settling time.…”

“…In context of the self organizing fuzzy control (SOFC) [14−25] , this work is an extension of [22,23] (TVFS). In general, movements of all support points are performed in both directions, i.e., left or right and with variable distances.…”

“…Salim et al [22,23] deal with identifying the parameters of TVFS method. Rererence [22] discusses an offline identification based on recursive least squares (RLS), where the parameters are fixed during the execution time, reference [23] is an online identification based on an adaptive approach, where the parameters vary in real-time.…”

“…Rererence [22] discusses an offline identification based on recursive least squares (RLS), where the parameters are fixed during the execution time, reference [23] is an online identification based on an adaptive approach, where the parameters vary in real-time. In this paper, we propose a new online identification based on optimization using particle swarm optimization (PSO) approach.…”