Calculation of PID-regulator for MISO system with the method of numerical optimization

Control of the object with one output using many inputs is widely used for combining the advantages of every input and eliminating of disadvantages of two or more control channels. Such systems are called MISO, which means Many Inputs - Single Output. For the calculation of such systems we have proposed a theory based on the logarithmic frequency response. This method has proved to be excellent in laser physics and in many other systems where a single channel for control is insufficient. As a rule one of the channels has higher speed but small range of the output changing value. The other channel allows changing of the output value in a wide range but with a restricted speed. Analytical calculation method cannot be used always as if an object comprises a nonlinear units or delay units there is no analytical methods for this case. Most effective in this case is the numerical optimization method but even when it is used some unexpected problems may occur. This paper studies the regulator design method for such a system. It is shown that the numerical optimization method allows calculation of the required two-channel regulator only with the use of some specific approaches that are kept to a list of recommendations. The results are illustrated by numerical examples obtained by using the program VisSim.