Synthesis of Multimode Regulators Based on the Decomposition of the Control Space Using the Maximum Condition of the Generalized Power Function

The synthesis of multi-mode regulators requires to determine of the modes of operation of control objects, taking into account the features of the processes occurring in a given region of phase space. For each mode, its own version of the control law is provided, which leads to the problem of reasonable selection of their structure and parameters. Typical representatives of this class of regulators are proportional-integral-differential regulators and their variations. It is known that the efficiency of controlled objects can be improved through the use of non-linear regulators. The paper considers such nonlinear regulators of the combined maximum principle, which operation modes can be determined based on the decomposition of the control space using the condition of the maximum of the generalized power function.