Abstract
On the basis of the classical theory of robust control, the theory of stability and the theory of continued fractions, the linearized mathematical model, the procedure for calculating and designing an analog electrical circuit of the H∞-suboptimal robust controller of the flux-linkage control system of the rotor of an asynchronous electric drive, protected by Ukrainian Patent no.137157, were built. The circuit contains three operational amplifiers, several resistors and capacitors. The proposed mathematical model, the procedure for calculating and choosing the parameters of the resistors and capacitors of the circuit take into account the random variations of the object and the controller within the specified boundaries. An analytical relationship between the transfer function coefficients and the resistances of the resistors and the capacitances of the capacitors of the controller's electrical circuit was established. On a specific example, by calculation according to the developed algorithm, the limiting values of the tolerances of the circuit's resistances of the resistors and capacitances of the capacitors were identified and these values were selected with a margin from the standard series. Analysis of noise filtering by the electrical circuit of the controller in the Multisim package shows its insensitivity to noise spreads within fairly wide boundaries.
Highlights
In the patent [1], an analog electrical circuit of the H∞-suboptimal robust controller of the flux-linkage control system of the rotor of an asynchronous electric drive is proposed
The nominal values of such resistances and capacities of such elements are determined in this work in the process of rounding off their calculated values to the values of standard series [5], and their accuracy is based on the calculation of the stability of the rotor flux-linkage control system with random variations of the parameters of the object, resistors and capacitors of the circuit within the specified boundaries
To set the boundaries of random change in the nominal values of resistances and capacitances, the rounding errors of their calculated values and the spread in the values of permissible deviations by standard series are taken into account
Summary
In the patent [1], an analog electrical circuit of the H∞-suboptimal robust controller of the flux-linkage control system of the rotor of an asynchronous electric drive is proposed. A compromise between cost and accuracy can be achieved theoretically only in the process of analyzing the stability of the flux-linkage control system with random variations of the nominal parameters of real circuit elements Such an analysis cannot be carried out without determining the analytical relationships between the coefficients of the transfer function of the controller and the parameters of the resistors and capacitors of the circuit, which vary randomly within the specified boundaries. In this work, this relationship between the coefficients of the transfer function of the H∞-suboptimal robust controller and its electrical circuit is taken into account when analyzing and checking the operation of the circuit. Represent the equations of its state in the normal operator matrix form (1): px Ax Bu; y Cx,
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