Zasyad'ko A. Methods of solving incorrect problems on the basis of multi-criteria optimization and differential transformations for the automated control systems

For the first time, new methods of solving incorrect problems for information and mathematical supply of the automated control systems by means of multi-criteria optimization and differential transformations which allows to raise quality of the information about a state of automated control objects are developed. The method of restoring signals is improved; this method differs from the other ones by using the multi-criteria optimization by means of the non-linear compromise schema, and this allows to reduce the error of restoring. For the first time, it is developed the differential-taylorian model of process of restoring signals for the control of a state of automated control objects in which there is no methodical error and there is a continuous time argument in the field of images that allows to model the process of restoring the information of a state of objects of the automated control systems in the real time. For the first time, the method of solving incorrect problems in the field of the biaseddifferential transformations of the information which allows to receive simple and fast algorithms of processing of the information about a state of objects of the automated control systems is developed. The method of process of restoring the information about a condition of the automated control systems which differs from known by the common application of multi-criteria optimization and the biased differential transformations of the information is offered for the first time; accuracy and stability of restoring the information on a state of objects of automated control objects in conditions of uncertainty and noise is the obtained result. For the first time, the method of the multi-criteria optimization for solving incorrect tasks of the optimal planning by means of non-linear compromise schema is developed. This method differs from the known ones by the coordinated optimization of error and stability of the method with taking into account the limitations on the partial quality criteria. This allows to reduce the dimension of incorrect problems of optimal planning. The combined method of monitoring parameters for moving objects is developed. The method differs from the known ones by use of differential transformations and multi-criteria optimization by non-linear compromise schema. This allows to increase the range of the forecast of movement parameters.