Contact Professor: Yeh-Liang Hsu (徐業良)

# 94博士論文：發展一模糊比例微分控制器最佳化演算法於工程最佳化問題

工程最佳化設計問題通常有兩個特性：設計變數在目標函數與限制條件常具有單調性，且其目標函數與限制條件常為內隱式函數，也就是不能以設計變數來表示其外顯形式。
傳統的數值最佳化演算法在處理工程最佳化問題時常將其視為一純粹的數學問題，卻往往忽略工程方面的知識與經驗。本研究提出一模糊比例微分控制器最佳化演算法應用於工程最佳化設計問題，運用模糊規則將工程知識與經驗如設計變數的單調性與限制條件的有效性，導入至最佳化演算法之中以獲得新的迭代設計點，取代傳統數值最佳化演算法使用單純數值資訊來獲得新迭代設計點的方式。
本論文模糊比例微分控制器最佳化演算法的發展可分三個階段，在前兩個階段之中，此最佳化演算法使用一最佳化準則方法來解決特定型態的工程最佳化問題，在第三階段中，則將此模糊比例微分控制器最佳化演算法應用至一般具有單調性的工程最佳化設計問題上。本論文並以多個常見於文獻之中具有單調性的工程最佳化設計問題來驗證此最佳化演算法的實用性，都可成功的獲得最佳解，且在不同的初始值與移動限制下此最佳化演算法亦有不錯的強健性。

# Developing a Fuzzy Proportional-Derivative Controller Optimization Engine for Engineering Optimization Problems

Engineering design problems have two characteristics: the design variables are often monotonic in the objective function and constraints. Moreover, the objective function and constraints are often implicit functions which cannot be expressed explicitly in terms of design variables.
Traditional numerical optimization algorithms treat engineering optimization problems as pure mathematical problems. Engineering heuristics are totally ignored. This research proposes a fuzzy proportional-derivative (PD) controller optimization engine for engineering optimization problems. The idea of using the fuzzy PD controller in engineering optimization is that, instead of using purely numerical information to obtain the new design point in the next iteration, engineering knowledge, such as monotonicity of the design variables and activities of the constraints, are be modeled in the optimization algorithm using fuzzy rules .
The fuzzy PD controller optimization engine is developed through three stages. In the first two stages, the optimization engine is applied to solve engineering optimization problems with optimality criteria methods. I n the third stage, the fuzzy PD controller optimization engine is extended to apply on more general engineering optimization problems with monotonicity . Several engineering design optimization problems commonly seen in research literature are used to demonstrate the practicality of the fuzzy PD controller optimization engine. Numerical optimal solutions are successfully obtained in all problems. The fuzzy PD controller seems to be robust to various initial design points and move limits.

 Academic Thesis (2005-12-29) Chapter 1 Introduction (784 visitors) (2005-12-29) Chapter 2 The concept of fuzzy proportion-derivative controller optimization engine (907 visitors) (2006-04-24) Chapter 3 The first stage development of the fuzzy PD controller optimization engine (888 visitors) (2006-08-12) Chapter 4 The second stage development of the fuzzy PD controller optimization engine (885 visitors) (2006-08-07) Chapter 5 The third stage development of the fuzzy PD controller optimization engine (839 visitors) (2006-08-12) Chapter 6 Engineering design optimization examples (2455 visitors) (2006-07-06) Chapter 7 Conclusions and discussion (729 visitors) Last Updated:2010/5/11