The invention relates to a progressive type healthy monitoring method of a
rope system based on space coordinate monitoring during support settlement, which is based on the space coordinate monitoring and determines whether a mechanical calculation
reference model of a structure needs to be updated again or not by monitoring the coordinates of a support of the structure. In consideration of the condition that a
linear relationship among the vector of the current numerical value of the quantity to be monitored, the vector of the initial numerical value of the quantity to be monitored, a change matrix of the unit damage quantity to be monitored and a current nominal damage vector is approximate, the invention provides a method using the
linear relationship to sectionally approach to a nonlinear relationship in order to overcome the defect, a big interval is divided into a plurality of continuous small intervals, the
linear relationship is accurate enough in each small interval, and the non-inferior solution of the current
rope damage vector can be calculated in each small interval by utilizing the proper algorithms of a multi-objective optimization
algorithm and the like, so that the position of a damaged
rope and the damage degree thereof can be more accurately determined.