Considering　dual　distributed　controllers,　a　design　of　optimal　state　estimation　strategy　is　studied　for　the　wireless　sensor　and　actuator　network　(WSAN).　In　particular,　the　optimal　linear　quadratic　(LQ)　control　strategy　with　estimated　plant　state　is　formulated　as　a　non-cooperative　game　with　network-induced　delays.　Then,　using　the　Kalman　filter　approach,　an　optimal　estimation　of　the　plant　state　is　obtained　based　on　the　information　fusion　of　the　distributed　controllers.　Finally,　an　optimal　state　estimation　strategy　is　derived　as　a　linear　function　of　the　current　estimated　plant　state　and　the　last　control　strategy　of　multiple　controllers.　The　effectiveness　of　the　proposed　closed-loop　control　strategy　is　verified　by　the　simulation　experiments.　Copyright　©　by　HIGH　TECHNOLOGY　LETTERS　PRESS.