This　paper　presents　uniformly　ultimate　boundedness　(UUB)　control　design　for　switched　linear　systems　with　parametric　uncertainties.　Only　the　possible　bound　of　the　uncertainty　is　needed.　Under　arbitrary　switching　laws,　a　continuous　state　feedback　control　scheme　is　proposed　in　order　to　guarantee　uniformly　ultimate　boundedness　of　every　system　response　within　an　arbitrary　small　neighborhood　of　the　zero　state.　The　design　techniques　are　based　on　common　Lyapunov　functions　and　Lyapunov　minimax　approach.