布林代數演算法在條件序控的應用以線控機器人操作為例

Application of Boolean Algebra Algorithm on Condition-Sequence Control-Case Study of a Manual Driven Robot

周立強(Li-John Jou) ； 程安邦(An-Pan Cherng)

《宜蘭大學學報》 1期 (2003/09) Pp. 105-114

https://doi.org/10.6178/niu.2003.01.22

摘要

本文目的旨在以布林代數演算法中Quine與McCluskey氏所提出的列表法去推演條件序控中複雜的接點電路邏輯問題，並藉助Matlab程式加以求出並簡化輸入與輸出變數間的布林函數式，再以EXCEL電子試算表檢驗其結果的正確性。在應用上可藉由布林函數式轉換成接點邏輯電路，以配合可程式控制器轉換成其階梯電路圖。本文中係以參加第四屆全國技專院校創思設計與製作競賽之線控機器人的操作桿控制器為例，具體化此一構想。經實際測試該控制器均能正確無誤地達到所要求的動作功能，顯示此一方式的運用相當可行，可作為機電整合領域中條件順序控制教學上的一個範例與應用。

關鍵字

布林代數 ； 接點邏輯電路 ； 可程式控制器

並列摘要

The objective of this paper was to demonstrate how Boolean algebra algorithms (Quine-McCluskey procedure) can be applied on deducing the complex logical problems of Condition-Sequence control switching circuits. A Matlab program was developed to resolve and simplify the Boolean relations between input and output variables. The results were then verified by an Excel program. In practical applications, the Boolean relations can be easily transformed to switching circuits and used in Programmable Logical Controller (PLC). A manual-driven robot, hand-made for the 4th Annual Contest of Creative Design among Technological Colleges” and controlled by a PLC, was finally presented to show how the idea works. The example can also serve as a case study for Condition-Sequence control course in mechatronics.

並列關鍵字

Boolean algebra ； switching circuit ； programmable logical controller (PLC)