Optimal control law for fault tolerant control systems

In this paper, an optimal control law is designed for fault tolerant control systems with Markovian parameters (FTCSMP). The matrix maximum principle is used to minimize an equivalent deterministic cost function. Three scenarios are considered. The first assumes that both the failure process and the fault detection and isolation (FDI) process are accessible for the controller. In the second scenario, the controller is reconfigured based on the decisions of the FDI process and does not need an accessible failure process. The case where the FDI process itself is not able to give any decision due to physical malfunction or excessive computational time is the third scenario. In these scenarios, optimal control laws are developed to reduce the risk of losing system stability. A computational algorithm is constructed to calculate the optimal control law