Reliability-redundancy optimization and allocation of voting system under cost constraint

Voting-redundancy structure was adopted in a system to maximize the system reliability under the cost constraint. With the combination of the augmented Lagrangian multiplier method and the fish swarm algorithm, a hybrid method was employed to optimize and allocate the system reliability and redundancies. In the meanwhile, the relationship between the reliability and the cost was not only analyzed, but also the impact of the voter failure rate on the system reliability was discussed. Finally, simulation results based on the longitudinal pitch motion flight control system of a certain type aircraft verify that the quaternion configuration is more appropriate to maintain an optimal system reliability taking into account the cost limit. In addition, in the case of a single voter, the voter reliability should be selected as high as possible. Most of the actual project systems select more voters redundancies structure to avoid the impact of single voter failure on the system reliability.