Synthetic static output feedback control for fuzzy systems under fault derivative transformation based fault accommodation

Abstract

This work examines the problem of synthetic static output feedback control embedded fault derivative transformation based fault accommodation for Takagi-Sugeno (T-S) fuzzy systems beset by actuator faults. To implement the fault accommodation more effectively, a fault derivative transformation technique is introduced to design a synthetic observer structure with more relaxed parameters. In the process of stability analysis, a linear transformation matrix (LTM) factor based Lyapunov function is employed to eliminate the coupling terms in the derived matrix inequalities, so as to obtain the linear matrix inequality (LMI) based stability conditions. Furthermore, an improved inequality scaling method is proposed to reduce the conservatism of the LMI-based stability conditions. Two numerical examples represented by T-S fuzzy models test the designed synthetic control strategy.