A control scheme for bilinear systems and application to a secondary controlled hydraulic rotary drive

Fuzzy bilinear state feedback control design based on TS fuzzy bilinear model for DC–DC converters

“…From the above theorem, it is found that V is a Lyapunov function for the extended system (6). And also, the proposed controller (15) makes the extended system (6) globally and asymptotically stable that means e ?…”

“…The goal of this section is to design an alternative fuzzy bilinear state feedback controller for the extended system (6). The proposed controller has the structure based on TS fuzzy bilinear model.…”

“…Extensions of the definitions of structural properties had been already introduced and thoroughly studied in the early 1970s [4]. During the 1980s, several works have dealt, instead, with the problem of controlling bilinear systems by means of different approaches, e.g., sliding-mode control [8], quadratic feedback [9], linear state feedback [10], and model reference control [6]. In the subsequent decades, more involved approaches have been devised, e.g., the qualitative analysis and stabilization method by Khapalov and Mohler [11,12] and also optimal control techniques [13,14].…”

“…By the early 1970s, several comprehensive papers and scholarly monographs [4,5] had already been presented. The motive for the study of bilinear systems comes from the intrinsic frontiers of linear models in the field of power systems [6,7]. Furthermore, there are several approaches that render bilinear systems appealing also from the theoretical point of view.…”

Polynomial decay rate estimate for bilinear parabolic systems under weak observability condition

“…The thrust for the study of bilinear systems comes from the intrinsic limits of linear models when dealing with practical applications in the field of ecology (e.g. populations models), biology as well as in nuclear fission (see [8]), transmission and power systems (see [6,9]). Furthermore, there are several characteristics that render bilinear systems appealing also from the theoretical point of view.…”