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Compound Controller for One-Class of Non-Affine Plants with Control and Status Lags

The article deals with the synthesis of a combined control law for a class of non-affine single-channel plants with state variables, unavailable for direct measurement, subject to two types of lag: in status and control. The controlled plant operates in terms of parametric uncertainty and is subject to external interference. To compensate for the negative effect of control lag the predictor-compensator is connected to the system. The synthesis of the compound controller structure is based on the hyperstability criterion application. The valuations of unmeasurable state variables are obtained using a filter-corrector, thus the synthesized system is L-dissipative. To confirm the efficiency of the obtained system and to ensure the required quality of the transient processes the simulation modeling of the synthesized system in Simulink toolbox of the Matlab application has been performed. The simulation modeling results have shown that the developed system meets the required specifications and provides the desired quality of operation of the non-affine plant with control and status lags.