Research system with the adaptive control law on highest derivative
The adaptive control system with slow-nonstationary plant under conditions of parametric disturbances are considered in the article. The Analysis of plant, the synthesis of the system and calculation modeling were held. In the mathematical model of the plant parametric disturbances are limited in amplitude and speed.The rate of disturbances can be faster than the natural rate of the plant. The research problem is to calculate the adaptive control law and the control loop settings regulator parameters. The reference model was formed by the set of quality indicators. Parameters of nonlinearity within the control loop settings were researched in this paper. Taking into consideration the maximum estimate possible speed of disturbances leads to the fact that changes in the amplitude and frequency of disturbances do not affect to the quality of the output process in the system. Integral adaptation algorithms are used with the highest derivative. The paper proposed a method for conversion reference equation to obtain an adaptive control law.