THE INTERVAL CONTROL SYSTEM’S SYNTHESIS OF A LINEAR ELECTROMECHANICAL OBJECT WITH NEGATIVE VISCOUS FRICTION
Journal Title: Електромеханічні і енергозберігаючі системи - Year 2017, Vol 2, Issue 38
Abstract
Purpose. The paper deals with the developing of engineering synthesis’ method for closed loop control system of linear dynamical objects with uncertainty and structure instability. Methodology. We propose to define controller structure and parameters based on separate compensation’s hypothesis of inner object’s feedbacks, it’s parameters’ and static torque’s uncertainty. Due to this hypothesis we define control signal for electric drive as sum of three summands, which we have defined by using interval model of control object, inverse dynamic problems’ conception, and modal control theory. Results. We have got algorithms for defining control signals for linear dynamical object of any order based upon the object’s parameters and it’s boundary state variables. These algorithms let us to transform a linear object’s equations to form, which is analog of Brunovsky equations’ form, and control of any linear object as zero roots dynamical object by defining of closed loop system’s desired characteristic polynomial. We have construct the direct current motor speed controller by using proposed method. We have approved our approach and algorithms by mathematical simulation of the synthesized closed-loop system. Originality. The algorithms, which are synthesized by using such approach, are similar to well-known algorithms but form a control signal, which amplitude is state variables’ function. Practical value. Synthesized controller compensates both the inner feedback by electric motion force of electric motor and the torque of negative viscous friction on motor’s shaft, and let us form high precision closed-loop control system. Defining of structure and parameters of such controller do not require to use complex mathematical methods or to solve complex optimization task.
Authors and Affiliations
Roman Volianskyi, Oleksandr Sadovoi
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