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

作者:Fei, Juntao*; Juan, Wanru; Xin, Mingyuan
来源:Proceedings of the Institution of Mechanical Engineers Part I-Journal of Systems and Control Engineering, 2012, 226(I8): 1039-1049.
DOI:10.1177/0959651812448367

摘要

In this paper, an adaptive fuzzy logic controller is proposed to create a H-infinity tracking performance for a micro-electromechanical 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-infinity 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.