Fault detection based on linear quadratic control performance in nonlinear systems

Abstract

This paper proposes a design approach of a simple algorithm detection system based on evaluating of LQ control performance index values, that is applicable on nonlinear dynamical systems described by Takagi-Sugeno model. The same approach has been used for linear dynamical system, however the question was, whether this method could be modified and applied in nonlinear system. Arbitrary state space control is recalculated to obtain parameters of equivalent LQ control, that are used in fault detection. A simulation example is used to describe the process of design of the fault detection system applied on a nonlinear dynamical system described by Takagi-Sugeno model.