We　propose　a　quantum　control　scheme　with　the　help　of　Lyapunov　control　function　in　the　optomechanics　system.　The　principle　of　the　idea　is　to　design　suitable　control　fields　to　steer　the　Lyapunov　control　function　to　zero　as　t　→　∞　while　the　quantum　system　is　driven　to　the　target　state.　Such　an　evolution　makes　no　limit　on　the　initial　state　and　one　needs　not　manipulate　the　laser　pulses　during　the　evolution.　To　prove　the　effectiveness　of　the　scheme,　we　show　two　useful　applications　in　the　optomechanics　system:　one　is　the　cooling　of　nanomechanical　resonator　and　the　other　is　the　quantum　fluctuation　transfer　between　membranes.　Numerical　simulation　demonstrates　that　the　perfect　and　fast　cooling　of　nanomechanical　resonator　and　quantum　fluctuation　transfer　between　membranes　can　be　rapidly　achieved.　Besides,　some　optimizations　are　made　on　the　traditional　Lyapunov　control　waveform　and　the　optimized　bang-bang　control　fields　makes　Lyapunov　function　V　decrease　faster.　The　optimized　quantum　control　scheme　can　achieve　the　same　goal　with　greater　efficiency.　Hence,　we　hope　that　this　work　may　open　a　new　avenue　of　the　experimental　realization　of　cooling　mechanical　oscillator,　quantum　fluctuations　transfer　between　membranes　and　other　quantum　optomechanics　tasks　and　become　an　alternative　candidate　for　quantum　manipulation　of　macroscopic　mechanical　devices　in　the　near　future.　[Figure　not　available:　see　fulltext.]　©　2022,　Higher　Education　Press.