A note on frequency spectrum analysis and finite-time stability of the time trajectory-based active fault-tolerant control

Tushar Jain (1) , Joseph Julien Yamé (2)

1 Research Group of Process Control and Automation
2 CRAN - Centre de Recherche en Automatique de Nancy

The aims of this paper are two folds. First, we aim to gain some insights at the time Trajectory-based Active Fault-Tolerant Control (TAFTC) using the frequency spectrum analysis. Secondly, we introduce the concept of finite-time stability (FTS) in the context of AFTC systems. Generally, in TAFTC strategy, the desired specifications are defined in terms of time-domain characteristics under the mathematical framework of behavioral system theory. In this novel fault-tolerant mechanism, we do not work in the traditional input/output setting, i.e. the frequency-domain, at the outset. Instead, we use the system time-trajectories. As an extension, we report some results within this TAFTC strategy showing what frequency-domain properties are actually satisfied by the closed loop. Since the TAFTC scheme is based on the trajectories generated by the system, where no a priori information regarding the plant is known at a run-time, the theory of FTS renders a more practical insight than is provided by the classical theory to study the "behavior" of systems

Domaines: Automatique / Robotique

Tushar Jain, Joseph Julien Yamé. A note on frequency spectrum analysis and finite-time stability of the time trajectory-based active fault-tolerant control. 18th Nordic Process Control Workshop, Aug 2013, Oulu, Finland. pp.CDROM. ⟨hal-00920182⟩