To　enhance　the　low-frequency　vibration　reduction　performance　of　Self-tuned　Dynamic　Vibration　Absorber　(SDVA)　and　improve　its　tuning　accuracy　after　long-term　operation　in　complex　variable-frequency　environments,　a　simply-supported　double-leaf-spring　(SD)　structure　is　introduced　into　the　design　of　the　SDVA　based　on　self-correcting　control　algorithm　in　this　paper.　The　nonlinear　variation　rule　between　the　frequency　of　SD-SDVA　and　the　support　length　is　obtained　through　theoretical　analysis,　finite　element　simulations,　and　experimental　validation.　A　self-correcting　control　system,　developed　using　a　PID　feedback　algorithm　combined　with　a　stepwise　optimization　algorithm,　enables　precise　and　rapid　frequency　tuning.　The　self-tuning　vibration　reduction　test　of　the　SD-SDVA　is　studied,　and　the　results　show　that　the　proposed　SD-SDVA　has　a　good　vibration　reduction　effect　in　the　low-frequency　range,　and　the　effect　can　reach　94.6%　when　the　SD-SDVA　is　tuned　to　the　first-order　main　resonance.　Additionally,　the　case　of　frequency　detuning　due　to　long-term　operation　is　simulated,　and　the　self-correcting　vibration　reduction　ability　of　the　SD-SDVA　is　verified.　The　experiment　showed　that　the　developed　control　algorithm　can　greatly　improve　the　absorption　ability　of　the　absorber　under　frequency　adjustment　mismatch　and　enhance　its　ability　to　operate　stably　in　complex　variable　frequency　vibration　environments.　©　2025　Elsevier　Ltd