Abstract
Systems' stability is the topical issue of control systems' development province. In this study the research of methodology of the nonlinear distributed control systems' stability assessment is conducted. Research of the standard distributed links' frequency surfaces is executed, limit characteristics of the parameters influencing by sight of spatial hodograph are investigated. The purpose of the work is to present the new method of systems' stability assessment and to the results of its using. The offered method of the absolute stability analysis for a class of systems with the distributed parameters allows to investigate the dynamic characteristics of the nonlinear distributed control systems. The specified method is received on the basis of frequency methods and representation of straight line's slope limiting sector of the nonlinear characteristic in the form of a spatial and amplified-extensive section. On the basis of the modeling results studying the general method of stability assessment, which can be used for the models of nonlinear control systems considered in work is offered. The criterion of nonlinear distributed control systems' absolute stability with the nonlinear characteristic independent of object's spatial coordinates is formulated and described. Results of this method's application for the analysis of the nonlinear distributed systems' stability which proves the method's assurance are considered.
Highlights
For the first time the concept “the distributed system” was introduced by the doctor of engineering A.G
The specified method is received on the basis of frequency methods and representation of straight line’s slope limiting sector of the nonlinear characteristic in the form of a spatial and amplified-extensive section
On the basis of the modeling results studying the general method of stability assessment, which can be used for the models of nonlinear control systems considered in work is offered
Summary
For the first time the concept “the distributed system” was introduced by the doctor of engineering A.G. Butkovsky who is the recognized scientist in the field of distributed systems’ management. Butkovsky who is the recognized scientist in the field of distributed systems’ management Researches in this direction were continued by professor E.Ya. Rapoport and T.K. Sirazetdinov, whose fundamental works became the beginning of theory’s of systems’ with the distributed parameters management development (Rapoport, 2005). The significant contribution to research of this type systems was made by the French mathematician Jacques-Louis Lions who is the one of the leading scientists in the field of the differential Equation in private derivatives theory and stochastic management (Lions, 1973)
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