Derivation of symbolic-based embedded feedback control stabilization expressions with experimentation

Abstract

This paper presents a new generic approach for the derivation and implementation of feedback gains of automatic control systems using symbolic-based representation of feedback stabilization functions. The derivation part is based on the exact mathematical symbolic-based formulation of the control problem, where feedback gains are derived in a symbolic form function and assisted by appropriate symbolic-based programming. On the other hand, the symbolic feedback functions realization is implemented using embedded symbolic-based configuration using functional programming. The proof of concept of the suggested approach is successfully demonstrated thru the derivation and implementation of symbolic-based feedback stabilization of a case study of inverted pendulum. Finally, results of experimentations of the case study are depicted comprising executing embedded symbolic-based functions using micro-controller/Proteus simulation. Keywords: Generic control system design, Symbolic-based system stabilization, Symbolic-based embedded functions, Inverted Pendulum stabilization, Functional programming