Controlling a Second-Oorder Multichannel Object of Dimension $3\times 2$ with Delay

Multi-channel object control is required in many technical systems and technological setups. Typically, the number of controlled output values of the object is the same as the number of inputs used to control the object. There are examples of using two or more input channels to control a single output value of an object. This is justified by the fact that different control channels have evident different shortcomings, and hence different advantages. In particular, this is efficient if one of the control channels is limited in speed, and the other is limited in the control range. If there are no evident differences in the advantages of different control channels, such redundant control is not used. There are no publications on the efficiency of using redundant management of multi-channel objects. Analytical methods for calculating controllers, even with non-redundant control, are extremely complex, and for the case of second-order objects with delay, there are no adequate analytic methods. This explains the lack of publications on the redundant control of multi-channel objects, since this task is extremely difficult for analytical methods. The emergence of software tools for mathematical modeling (simulation) and numerical optimization removed the problem of calculating of complex regulators for complex sophisticated. The use of such software makes allows investigating the usefulness of excessive control on numerical examples. This paper is devoted to the investigation of the expediency of controlling a second-order object of dimenslon 3×2 with a delay. It is shown that even if there are no visible bases for using all three control channels, this gives a significant positive effect. A control method was developed and grounded with approbation, including a set of test actions, regulator structures and cost functions.