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Avtometriya

2006 year, number 2

Two-contour extremum control systems with the preliminary stabilized dynamic part

G. A. Frantsuzova
Novosibirsk
Pages: 25-32

Abstract

The problem of synthesizing extremum control systems for the class of plants with a nonlinear time-varying dynamic part and a static quality function is discussed. It is proposed to organize two-contour control when the internal subsystem includes a dynamic plant part and the external subsystem contains a static extremum characteristic. The internal contour uses a controller based on the localization method. This makes it possible to preliminary stabilize the processes in the dynamic part of the system, and while synthesizing the external contour to take into account only the equilibrium value of the internal contour. Application of adequate gradient estimation along with the integral control law for the external subsystem allows organization of motion to extremum with the given dynamic quality. It is shown that the properties of such extremum control systems do not depend on the effect of the time-varying plant parameters and the action of uncontrolled external disturbances.