  We propose an experimentally feasible scheme for dissipative preparation of
tripartite entangled state with atoms separately trapped in an array of three
coupled cavities. The combination of coherent driving fields and
quantum-jump-based feedback control will drive the system into a
non-equilibrium steady state, which has a nearly perfect overlap with the
genuine three-atom singlet state. Different control strategies are investigated
and the corresponding optimal parameters are confirmed. Moreover, the fidelity
of target state is insensitive to detection inefficiencies, and it oversteps
90\% for a wide range of decoherence parameters as long as the single-atom
cooperativity parameter $C\equiv g^2/(\gamma\kappa)>350$.
