Preparation　of　entangled　steady　states　via　dissipation　and　pumping　in　Rydberg　atoms　has　been　recently　found　to　be　useful　for　quantum　information　processing.　The　driven-dissipative　dynamics　is　closely　related　to　the　natural　linewidth　of　the　Rydberg　states　and　can　be　usually　modulated　by　engineering　the　thermal　reservior.　Instead　of　modifying　the　effectively　radiative　decay,　we　propose　an　alternatively　optimized　scheme,　which　combines　the　resonant　Rydberg　antiblockade　excitation　and　the　Lyapunov　control　of　the　ground　states　to　speed　up　the　prepration　of　the　singlet　state　for　two　interacting　Rydberg　atoms.　The　acceleration　process　strongly　depends　on　the　initial　state　of　the　system　with　respect　to　the　initial　coherence　between　the　singlet　state　and　decoherence-sensitive　bright　state.　We　study　the　optimal　parameter　regime　for　fast　entanglement　preparation　and　the　robustness　of　the　fidelity　against　random　noises.　The　numerical　results　show　that　a　fidelity　above　0.99　can　be　achieved　around　0.4　ms　with　the　current　experimental　parameters.　The　scheme　may　be　generalized　for　preparation　of　more　complicate　multi-atom　entangled　states.　©　2019　Astro　Ltd.