Application of Mathematical Analysis Method in the Teaching of Automatic Control Theory

DOI

10.2991/icmess-17.2017.119How to use a DOI?

Keywords

separation point of root trajectory, heuristic method, Newton residual theorem, tail second factor method, matlab

Abstract

In this paper, the method of root locus separation for complex automatic control system is discussed, to illustrate the importance of mathematical analysis methods in the design of automatic control systems. The mathematical method used to solve the separation points of root locus includes heuristic method, Newton residual theorem method, tail quadratic factor method and MATLAB method. This paper introduced the principle of these mathematical methods, analyzed and compared the solution process. The mathematical techniques used to obtain the separation point by heuristics, leaving the item not near the separation point, can make up for the shortcomings of the trial method with great blindness, reduce the number of calculations and increase its applicability. The Newton remainder theorem and the tail two factor method are tedious, but Newton's remainder theorem is more accurate. The Matlab method is faster and simpler.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xueyan Lin
PY  - 2017/06
DA  - 2017/06
TI  - Application of Mathematical Analysis Method in the Teaching of Automatic Control Theory
BT  - Proceedings of the 2017 International Conference on Management, Education and Social Science (ICMESS 2017)
PB  - Atlantis Press
SP  - 511
EP  - 514
SN  - 2352-5398
UR  - https://doi.org/10.2991/icmess-17.2017.119
DO  - 10.2991/icmess-17.2017.119
ID  - Lin2017/06
ER  -