APPLICATION OF THE MODIFIED NYQUIST CRITERION FOR THE ANALYSIS OF IMPULSE DISTRIBUTED SYSTEMS

The classical results of the theory of automatic control are obtained in most cases in relation to systems with lumped parameters, whose behavior is uniquely characterized by changing controlled quantities only in time and is described most often by ordinary differential equations, which makes it impossible to expand the scope of such systems. The article discusses the modification of the Nyquist absolute stability criterion for its application in the theory of systems with distributed parameters. The limiting characteristics of parameters affecting the type and shape of spatial hodographs of typical distributed links are investigated. A modified criterion of absolute stability of nonlinear distributed control systems has been developed. A method for analyzing the absolute stability of a class of nonlinear distributed control systems has been developed. By example, the construction of a spatially distributed hodograph is considered and the stability region of the system under consideration is constructed.

Authors: Yu. V. Ilyushin, M. Yu. Shestopalov

Direction: Informatics, Computer Technologies And Control

Keywords: System analysis, control, distributed systems, absolute stability

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