B. del-Muro-Cuéllar, J.C. Martínez-García, and E. Orduña-Reyes
Fault detection, linear systems, geometric approach
This paper deals with continuous linear time-invariant systems and is focused on the model-based failure detection and identification problem, and more precisely, on the so-called residual generation problem. Our purpose is to present some new results concerning the practical situation arising when the problem cannot be solved using conventional tools for a given system. Thus, the residual generation must be done by choosing a new measured output matrix, that is, we are concerned with the development of sensor location methodologies that are oriented to guarantee the solution of the failure detection problem. Solvability conditions are presented and procedures for sensor location are developed. When the solvability conditions hold, the minimality of the associated residual generator is ensured. A geometric approach and the notions of fundamental and extended residual generation problems as stated by Massoumia are followed.
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