In safety critical systems, the control system is composed of a core control system with a fault detection and isolation scheme together with a repair or a recovery strategy. The time that it takes to detect, isolate, and recover from the fault (fault recovery time) is a critical factor in safety of a system. It must be guaranteed that the trajectory of a system subject to fault remains in the region of attraction (ROA) of the post-fault system during this time. This paper proposes a new algorithm to compute the critical fault recovery time for nonlinear systems with polynomial vector elds using sum of squares programming. The proposed algorithm is based on computation of ROA of the recovered system and nite-time stability of the faulty system.
Proceedings of the 19th Ifac World Congress, 2014
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19th World Congress of the International Federation of Automatic Control (IFAC 2014)