Design of a SMC-based fuzzy controller for nonlinear systems

Abstract

In this paper, a fuzzy controller based on sliding mode control (SMC) is proposed. The control strategy of the proposed sliding mode control is characterized by the linguistic terms in the fuzzy control rules. All membership functions offuzzy control rules are well defined to guarantee the stability ofcontrol systems. The design strategy relies on the following stages: First, develops an adaptive law to approximate the equivalent control of sliding mode control, while the mathematical model of nonlinear system is unknown. Second. adding a hitting control term to translate arbitray state to a prespecIfied sliding surface.Finally, a novel fizzy controller with two fuzzy control rules, which not only applies the sliding mode control rationale but also guarantees the stability of fuzzy control system, are constructed. A nonlinear simulation example is applied to confrm the validity of the fuzzy controller.

Control basado en lógica difusa: De los fundamentos a las aplicaciones.

“…It constituted the first permanent industrial application of fuzzy Logic ( Menzl, Stuhler, & Benz, 1996). In 1982 M. Dohnal raised the possibility of modeling complex chemical engineering processes, using models based on fuzzy logic and linguistic variables (Chen, 1997). In Japan, in 1984, fuzzy logic was used to control chemicals in a water treatment plant.…”