Compensating unremovable imperfections in operation units

We consider the problem of stabilizing a linear stationary system with disconnected control laws, where imperfections of operation units lead to autooscillations (“chattering”) in a stabilized mode. If constructive possibilities have been exhausted, and unremovable imperfections still lead to an unsatisfactory control process, one has to use additional possibilities connected with feedback control algorithms. This work presents algorithms in which increasing the feedback amplification coefficients and using an additional high-frequency signal leads to reduced “chattering”. We obtain numerical estimates of the parameters that characterize the quality of stabilized modes for a finite frequency of switching the relay elements.