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: 77
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: 2018
: .., .. // . 77. .: , 2019. .47-69. URL: https://doi.org/10.25728/ubs.2019.77.3
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(.): control under uncertainty, saturation of the control signal and its derivatives, compensation of disturbances
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(.): The synthesis of the control system under conditions of parametric uncertainties, bounded external disturbances, saturation of the control signal and its time derivatives is given. Such tasks are typical in the control of various kinds of technical systems. Ignoring uncertainties and constraints can lead to objective failure or loss of control system stability. For example, catastrophic consequences may occur in an aircrafts flight control system due to the saturation of the controlled signal and its derivative. Other examples are the control of jet engine compressors and the study of the behavior of the control plant with a slow drive. To solve the problem in the conditions of uncertainties and restrictions on the regulating signal a new method of design the control law is proposed, which allows to ensure the finding of the regulating signal and its derivatives in given sets. The principle of compensation of disturbances is used, which allowed to obtain information about parametric uncertainty and external disturbances in the form of some function. To compensate these uncertainties a control signal is designed, the value of which is opposite to the value of perturbations. Thus, for control in the conditions of constraints on the control signal it is required to impose the corresponding constraints on the function containing information on these uncertainties. The conditions on the parameters of the plant, external disturbance, the reference model and the controller when performing the control system is feasible are obtained. The simulation results illustrate the performance of the proposed control scheme.
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