Fault Estimator Design using Data Driven H∞ Technique

In this paper, a data driven method for fault estimation in control systems is proposed. The fault estimation problem is formulated as a time domain control problem and the H∞ technique is applied for solving it. The mathematical model is assumed to be unknown and only input/output (I/O) data are used for detector design. Minimizing the fault estimation error is considered as the fault detection performance measure. Also, since the estimated fault plays the role of a virtual control input, a cost is defined on it to avoiding the H∞ control problem being singular. These measures are achieved by tuning a scalar parameter and some weighting matrices. An easily implementable design algorithm summarizes the methodology presented in the paper. The proposed algorithm is applied to a numerical example in order to illustrate its effectiveness.