Open AccessModern complicated dynamic objects are a set of related subsystems with parameters and structure, which may vary in different operating modes.
For adaptation to structural-parametric changes in multivariable controlled object the logical control algorithms are often used. They can significantly improve the dynamic and static properties of the system. However, existing logical control algorithms do not take into account a dynamics of the controlled object. Therefore, calculation of parameters for the logical controller is required to ensure the specified quality of control processes. Thus, there is a relevant problem of synthesis of the logical control algorithms that take into account the change of parameters and structure of the controlled object. A solution of this problem will allow us to overcome the contradiction between accuracy, stability, and performance.
The article proposes a mathematical model of the logical algorithm to control the autonomous separate subsystem by the error signal and its derivative. This algorithm creates a logically correcting error based on the analysis of the current state and dynamics of a separate subsystem.
The article offers a comparative analysis of the existing logical control algorithm with synthesized one when structural-parametric characteristic of controlled object has been changed. Existing algorithms of logic control accelerate dynamics of autonomous separate subsystem thus leading to a significant deterioration in the quality of transition processes. The synthesized logic control algorithm stabilizes dynamics of autonomous separate subsystem and provides a required quality of control processes. In autonomous separate subsystem with a pure time delay the logical control algorithm elaborates a leading decision that significantly reduces the overshoot and oscillability of transition process.
The proposed logical controller is capable of adapting to the structural-parametric changes of the multivariable controlled object without readjusting its parameters. The simulation proves that application of logic controller is efficient.