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.

中文翻译：

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基于符号的嵌入式反馈控制稳定表达式的实验推导

摘要 本文提出了一种新的通用方法，用于使用基于符号的反馈稳定函数表示来推导和实现自动控制系统的反馈增益。推导部分基于控制问题的精确数学符号公式，其中反馈增益以符号形式函数导出，并辅以适当的基于符号的编程。另一方面，符号反馈功能的实现是通过使用函数式编程的嵌入式基于符号的配置来实现的。通过对倒立摆案例研究的基于符号的反馈稳定的推导和实施，成功地证明了所建议方法的概念证明。最后，