Article

Article title METHOD A BIG GAIN IN PROBLEMS OF ROBUST CONTROL
Authors A.B. Filimonov, N.B. Filimonov
Section SECTION V. SYSTEM AND CONTROL POINTS
Month, Year 01, 2015 @en
Index UDC 62-50:681.5.01
DOI
Abstract To the present time a number of trends of researches by the problem of synthesis of robust control systems is taken place. One of them has been developing actively by native scientists is based on the application of mechanism of big gain in the straights path of synthesized systems. It has two functions: in the first place, the security of invariance property of transfer properties of system to disturbances of object parameters; secondly, the formation of standard transfer function of control system on the channel «assignment-output». Two circumstances are attractive for the given approach for the engineering applications: in the first place it is the adaptability in the extreme situations, in particular, in the conditions of absence of a priori information about parameters of object; secondly it is simple and universal for the proposed decisions. The present paper is devoted to methodology of synthesis of robust control systems with big gain factor. On principle the new theoretical scheme of use of mechanism of big gain in control processes is proposed. In its base is robust correction of control object as the preliminary step of the decision of control task. As a result the synthesized system has two-contour structure: the interior contour provides robust correction of object according to the given standard model of control channel, and the exterior contour corresponds to the achievement of control aim. The efficiency conditions and the dynamic properties of stated correction scheme are analyzed. The result of mutual compensation of coinciding transfer zeroes and poles of corrected object is noted: it leads to the appearance of non-controlled part in the structure of the system. The big amplification factor generates rapidly damping modes which practically not influence on control processes. In this connection it is possible to apply the reduced dynamic object of corrected control channel based on low-frequency approximation of dynamic object in the tasks of synthesis of control systems. The suggested scheme of robust correction is used to the wide class of control tasks and in particular to nonlinear and non-stationary objects. In this case the correction itself acquires the complemented sense that is linearization and stationarization of control channels.

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Keywords Parametric uncertainty; high gain; the scheme of robust correction; synthesis of control systems; standard dynamics.
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