Stability of the program manifold of automatic indirect control systems taking into account the external load
Zhumatov S. Mynbayeva S.
23 July 2023DergiPark
Advances in the Theory of Nonlinear Analysis and its Applications
2023#7Issue 2405 - 412 pp.
The problems of stability system that arises in the construction of different automatic systems of indirect control are considered. It is known that a given program is not always exactly performed, since there are always initial, constantly acting perturbations. Therefore, it is also reasonable to require the program manifolds stability itself relatively to some quality indicator. In the first part, the stability being investigated of automatic indirect control systems with rigid and tachometric feedback. Necessary and sufficient conditions of the program manifolds absolute stability are established separately. In the second part, automatic systems of indirect control in the presence of an external load are considered. The equations of the hydraulic actuator, taking into account the action of an external load, are presented in a convenient form for research. Then it reduces to studying the stability of the system of equations with respect to a given program manifold. By constructing Lyapunovs functions for the system in canonical form, sufficient conditions of the program manifolds absolute stability are obtained. The results obtained can be used in the formation of stable indirect systems automatic control.
external load , indirect control system , Lyapunov function , rigid and tachometric feedbacks
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
K.Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
Institute of Mathematics and Mathematical Modeling
K.Zhubanov Aktobe Regional University
10 лет помогаем публиковать статьи Международный издатель
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