Structure Identification System on the Based Qualitative Theory of Nonlinear Dynamics

One of the most important tasks in solving problems of control technical systems is the evolutionary behavior formalization of the object. These models are required for the formation control algorithms. The engineers operate only with the basic linear models, leaving the solution of problems of regulation of nonlinear phenomena in industrial controllers. As a result, there are actually functioning control systems that work not only optimal, but, even in manual mode set up control processes. Modeling of dynamical system consists of a selection of three components: i) the definition of phase space in terms of restrictions; ii) selection of discrete or continuous time, and iii) the law of evolution — the mapping of any given point in phase space and any time value in one uniquely a certain state of the system. For the discrete time evolution law is sought in the forms: ( 1) ( , , ), ( ( )), , x t x t u y h x t t + = ψ = ∈ Z for continuous time: