Computation of equivalent poles placement for class of 2nd order discrete bilinear systems

12th European Workshop on Advanced Control and Diagnosis

Gadek, Lukasz^1 ; Koszalka, Leszek^1 ; Burnham, Keith^2

Department of Systems and Computer Networks, Wroclaw University of Technology, Poland^1

Control Theory and Application Centre, Coventry University, United Kingdom^2

关键词: Bilinear approach;    Bilinear system;    Complex planes;    Industrial problem;    Linear control theory;    Modelling and controls;    Poles placements;    Research outcome;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/659/1/012003/pdf
DOI  :  10.1088/1742-6596/659/1/012003

来源: IOP

【 摘 要 】

This paper introduces an adaptation of the classical linear control theory representation of zeros, poles and gain into a bilinear approach. The placement of poles at the complex plane is a complete description of plants dynamics; hence it is a convenient form from which calculation of various properties, e.g. rise time, settling time, is plausible. Such technique can be adjusted into the bilinear structure if poles of a quasi-linear representation (linear with respect to input) are concerned. The research outcomes with conclusion on the equivalent poles displacement and generalized rules for a 2nd order bilinear system equivalent poles input dependent loci. The proposed approach seems to be promising, as simplification of design and identification of a bilinear system increases transparency during modelling and control in practical applications and hence it may be followed by applicability of such structure in common industrial problems.