Based　on　Lyapunov　control,　a　scheme　is　proposed　to　accelerate　dissipation　dynamics　for　the　generation　of　high-fidelity　entanglement　between　two　Rydberg　atoms　in　the　context　of　cavity　QED.　We　first　use　quantum　Zeno　dynamics　and　the　Rydberg　antiblockade　to　find　a　unique　steady　state　(two-atom　singlet　state)　for　the　system.　Then,　we　apply　additional　coherent　control　(ACC)　fields　to　improve　the　evolution　speed　of　the　dissipative　system.　The　ACC　fields　are　designed　based　on　the　target　state　and　they　vanish　gradually　along　with　increasing　of　the　fidelity;　thus,　the　system　is　guaranteed　to　be　finally　stable.　Additionally,　the　current　accelerated　scheme　is　checked　to　be　robust　against　systematic　and　amplitude-noise　errors.　©　2018　American　Physical　Society.