A new input design framework for asymptotic active fault diagnosis with application to integrated diagnosis and control

Abstract

This paper proposes a new input design framework for set-based asymptotic active fault diagnosis and then applies it to integrated design of active fault diagnosis and control. First, a new input design method is proposed for asymptotic active fault diagnosis by maximizing a newly-defined excluding degree of the origin from all healthy and faulty residual zonotopes. Second, an input set is constructed based on the mathematical expression of the excluding degree at each time instant such that any input out of the input set can be used for active fault diagnosis. Third, an optimal input is designed out of the input set at each time instant for simultaneous active fault diagnosis and control. Besides, an optimal input can also be designed out of the input set to achieve integrated design of active fault diagnosis and other objectives (e.g., minimal input energy to reduce harm to the system, etc.). At the end of this paper, several examples are used to illustrate the effectiveness of the proposed methods.