Article

Article title SYNERGETIC SYNTHESIS OF TRACING CONTROL SYSTEMS
Authors A. N. Popov
Section SECTION II. MODELING AND ALGORITHMS OF INFORMATION PROCESSING
Month, Year 07, 2018 @en
Index UDC 681.51
DOI 10.23683/2311-3103-2018-7-143-154
Abstract Paper is devoted to the usage of synergetic control theory for synthesis of automatic tracking control systems. The tracking regulator should provide change of one of control object variables according to some temporary signal arriving on an input of a system and being a priori unknown function of time. At design of the majority of the tracking control systems the frequency methods of synthesis assuming the linear mathematical description of the control object are used. These methods allow to define structure and parameters of the linear compensating element which provides stability of a system and the set astaticism number on entrance influence. Such approach becomes ineffective if dynamics of a control object is significantly nonlinear. Research objective is development of analytical procedures of synthesis of the tracking regulators for the general class of nonlinear systems. Two approaches to holding a procedure of synergetic synthesis of the tracking regulators are presented in a paper. The first of them assumes calculation of derivatives of an entrance signal on time. The second approach is based on the idea by the current piecewise linear approximation of an entrance signal and synthesis of the asymptotic observer of coefficient of an inclination of the approximating straight line. In this case the tracking control system operates only with an entrance signal and its differentiation is not required. The offered approaches are illustrated by simple examples. For confirmation of theoretical researches computer modeling of the synthesized tracking control systems at various entrance signals is carried out. By their results it is possible to draw a conclusion that the offered approaches allow to synthesize the regulators capable to fulfill the setting influences of the general class of continuous functions of time and can form a theoretical basis for design of the tracking control systems for nonlinear dynamic objects.

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Keywords Tracking control systems; synergetic feedback synthesis; asymptotic observer synthesis.
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