CASPIAN JOURNAL
MANAGEMENT AND HIGH TECHNOLOGIES
Synthesis of control laws for the implementation of the object movement in line with the prescribed program
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Read | Batyrkanov Zhenish I., Kadyrkulova Kyyal K. Synthesis of control laws for the implementation of the object movement in line with the prescribed program // Caspian journal : management and high technologies. — 2015. — №1. — pp. 181-192. |
Batyrkanov Zhenish I. - D.Sc. (Engineering), Professor, Vice Rector for Research and Foreign Relations, Kyrgyz Technical University named after I. Razzakov, 66 Mir Ave., Bishkek, 720044, Kyrgyz Republic, bjenish@mail.ru
Kadyrkulova Kyyal K. - post-graduate student, Kyrgyz Technical University named after I. Razzakov, 66 Mir Ave., Bishkek, 720044, Kyrgyz Republic, kyial_02@mail.ru
Nowadays, the issue of controlling the movement of the object in line with the prescribed trajectory is more or less well developed in the case of linear objects with their trajectories provided in analytical form. Therefore, difficulties arise when the prescribed trajectory cannot be described analytically. This paper provides a synthesis’ approach for solving the problems whose trajectories are cast either in analytical form or in table format. The proposed of the synthesis approach is, the first in the introduction into consideration the actual function of the deviation from the prescribed trajectory, secondly we consider the differential equation for the dynamics of the transition process for the deviation. Further, the destination specified dynamics of the transition process for deviations in the motion path for a managed object, we find the algebraic relations for finding the necessary control laws. At the same time, the machine is used with an inner product space and one result Bellman from linear algebra. As a result, we obtain the new effective procedures, for the synthesis of the desired control laws.
Key words: предписанная программа (траектория), закон управления, объект управления, вектор невязки, вектор состояния, динамика переходного процесса, конечно-разностное уравнение, prescribed program (trajectory), control law, controlled object, condition vector, fin