Adaptive fuzzy H ∞ control strategy for a micro-electromechanical system gyroscope based on the linear matrix inequality approach

Abstract

In this paper, an adaptive fuzzy logic controller is proposed to create a H_∞ tracking performance for a micro-electro-mechanical system gyroscope with system non-linearity consisting of parameter uncertainties and external disturbances. An adaptive fuzzy logic system is used to approximate the non-linear function to compensate the system’s non-linear behavior. Riccati-type equations and the linear matrix inequality technique are incorporated into the direct adaptive fuzzy H_∞ control. The influence of both fuzzy logic approximation error and external disturbances on the tracking error is attenuated to a prescribed level. Simulation results confirm that the effect of both the fuzzy approximation error and external disturbance on the tracking error can be attenuated efficiently by the proposed methods. Compared with the Riccati-type equation-based approach, the linear matrix inequality-based approach creates a better tracking performance.

Keywords

Adaptive fuzzy control linear matrix inequality Riccati-type equation

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