Dc Motor Discrete Control Technique

Abstract

The technique of the discrete control of a continuous object is considered by the example of a DC motor. The proposed method can simplify the procedure of selecting the desired properties of the synthesized control system, and reduce the control identification to a standard problem on the linear equation system solution with regard to the inequality constraints at each sample spacing. The desired properties of the synthesized system are specified through the reference transient. The quadratic performance criterion that characterizes the deviation of the transition process from the reference at the equally separated moments of time is applied. This approach allows a real-time control of the object with account to the restrictions of both to the controlling action, and to the phase control system coordinates. Thus, it is possible to achieve absence of overshoot and oscillability.

Mathematical model of the pneumatic actuator follower system

“…the difference between the output quantity and the reference value, the second part ( ) -is integral in time of the error of the output quantity, and the third part ( ) -is derivative of the error. The equation of the classical PID controller is [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]:…”