PROBLEMS OF DESIGNING STATE FEEDBACK CONTROLLERS FOR OBJECTS WITH TRANSFER FUNCTION ZEROS
 
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ITMO University
2
Chair of Electrical Engineering and Precision Electromechanical Systems, ITMO University
 
Power Electronics and Drives 2017;2 (37)(2)
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ABSTRACT:
The research paper is devoted to the analysis of the influence of transfer function zeros on the parameters of state feedback controllers. If a transfer function of a control object has zeros which are located closely to poles, the control object tends to singularity, and the influence of the input control signal to the states of the control object becomes weaker. The problem of the state feedback controller synthesis becomes ill-conditioned, which leads to the appearance of extremely large state feedback coefficients. In this case the state feedback coefficients are sensitive to the parameters of the control object. As a result, the parametric robustness of the control system is reduced. In this paper, the singular (Hankel) matrix is proposed for analyzing the properties of control object models. As a result of the research it was found that the coefficients of the state feedback controller are inversely proportional to the determinant of the singular matrix, and the determinant of the singular matrix is equal to the resultant of the transfer function polynomials. The method of the structural transformation (decomposition) of the control object for the designing of state feedback controllers for objects with zeros of the transfer function is proposed.
CORRESPONDING AUTHOR:
Aleksandr Mamatov   
Chair of Electrical Engineering and Precision Electromechanical Systems, ITMO University, Kronverkskiy pr., 49, lit. A, 197101 St. Petersburg, Russia
eISSN:2543-4292
ISSN (print):2451-0262