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Instruments and Systems: Monitoring, Control, and Diagnostics

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Optimal control of dynamic object based on the approximation of the parameters of the relay controller
А.А. SHILIN V.G. BUKREEV

The capabilities of modern programmable logic controllers allow to implement the differential equations of management methods.
It makes possible to include software and logic solutions. The article suggested the direction of the development of the
control method on the relay element with feedback. The properties of optimal and robust control of this method are confirmed by
the results of simulation. The research considered the task of time-optimal control for the object of second order with help of this
method. The article describes the modification of the method, when the optimal control parameters are determined by the state
of the object. As an alternative for finding of the analytic dependence of the parameters, we propose approximation of displaying
the parameters and the state of the object into the control parameters. Simulation results confirm the optimal control by means of
approximate functions. The considered control algorithm is implemented in the programmable controller. The article contains the
results of experiments on the existing system. The proposed method is recommended for the control of dynamic objects that can
be represented by a mathematical model of the second order with astaticism.
Keywords: relay control, sliding mode, time-optimal control, approximation, heat exchange system.

Contacts: E-mail: shilin@tpu.ru

Pp. 45-51.

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