On the theory of nonparametric control systems

The elements of nonparametric dual control systems theory of static and dynamic objects of discrete-continuous type are discussed. Its principal difference from the earlier dual control theory is the incompleteness of a priori information about the object under control, which the main singularity is the absence of selection phase of the parametric class of models describing the object. The original formulation of control problem differs significantly from previous known. The main idea of nonparametric control is reduced to «inclusion» of the inverse operator and feedback simultaneous use at the object input. The control of dynamic systems uses the idea of measuring the transitional characteristic in the direction of «output-input», which can be carried out on the obtained nonparametric models. Thus, the nonparametric algorithm of the dual control combines two main features: the study of the process under control and reduction it to the target. The issues of control variables that characterize the process state, including a variety of discrete control, the formulation features of control problems and characteristics of the processes appertained to the active class are described. Nonparametric models of discrete-continuous processes, nonparametric control algorithms and some results of simulation are presented. Some problems of organization systems modeling and control and the decision algorithms of the non-parametric class are discussed.

Keywords

Authors

References