A Full Symbolic Feedback Control Design

Document Type : Original Article

Authors

1 Computer and information science college, Jouf University, Kingdom of Saudi Arabia. Faculty of Engineering, Port Said University, Egypt.

2 Faculty of Engineering, Port Said University

3 Faculty of Engineering Cairo University

Abstract

Although Symbolic analysis suffers from higher complexity, higher resource requirments and longer exectution than the numerical analysis, it is proven to be more accurate and general and it is recommended to use it. It is also proven that the feedback gains are very crucial to stabilize any system and it is important to measure them accurately. This paper introduces the design of a full symbolic feedback control system based on pole placement method. The feedback gains of parameter varying control system are estimated using three alternative algorithms; Direct substitution, Bass-Gura and Ackerman formula, where the gains can be changed according to the parameters whaich are measured online. Experiments were conducted on the aircraft pitch control as an application to estimate the feedback gain to stabilize the system. The results demonstrate that the symbolic solution reduces the complexity by a significant margin and produces the same results assumed in the compared researches.

Keywords