Control of a pendulum using hedge algebras containing actuator saturation

Abstract

In this study, the control problem of a pendulum using hedge-algebras-based fiizzy controller (HAC) containing actuator saturation is presented. In HAC, linguistic values of linguistic terms are obtained through semantically quantifying mappings (SQMs) based on several fuzzy parameters of each linguistic variable without using any fuzzy set and inherent order relationships between linguistic values are always ensured. Hence, the design of a HAC leads to determining parameters of SQMs. Numerical results of HAC are compared with those of an analogical conventional fiizzy controller (FC) in order to show advantages of the proposed method.