SYNTHESIS OF THE SYNERGETIC LAW OF CONTROL OF NONLINEAR DYNAMIC OBJECTS

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25 апрел 2023

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SYNTHESIS OF THE SYNERGETIC LAW OF CONTROL OF NONLINEAR DYNAMIC OBJECTS

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The paper presents the possibilities of using the methods of the synergetic approach for the synthesis of the control law for nonlinear dynamic objects. To impart robust properties to the control law, it is proposed to apply the principle of integral adaptation, which makes it possible to compensate for the influence of external and parametric disturbances. The implementation of the synergetic control law is carried out when constructing the analytical design of aggregated controllers, which provide the asymptotic stability of the control system for nonlinear dynamic objects. To ensure technological invariance, the principle of synergetic control is proposed. At the same time, an extended dynamic model of the system was formulated, including external and internal perturbations. To determine the trajectory of movement of variable coordinates, a functional relationship of the AKAR method was compiled. The application of the method of analytical design of aggregated controllers makes it possible to eliminate the need for the synthesis of the observer of states, due to the presence in it of the possibility of prompt evaluation of external and internal disturbances. The main idea of the new approach is to use a single high-order perturbation model, consisting of series-connected integrators, instead of separate models for each perturbation separately. The proposed technique is confirmed by examples of digital modeling and the effectiveness of the proposed approach to the problems of synthesis of a nonlinear control system for dynamic objects is shown, which ensures the stability of the control system and compensates for unmeasured and external disturbances.

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# robust control# synergetic control theory# Nonlinear control# invariance# integral adaptation

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ROI:

https://eroi.uz/11.0008/A0423-0020

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