Design of Robust PI/PID Controller for Fuzzy Parametric Uncertain Systems

In this paper, a design method for a robust PI/PID controller for fuzzy parametric uncertain systems is proposed. An uncertain Linear Time Invariant (LTI) system with fuzzy coefficients is referred as fuzzy parametric uncertain system. The fuzzy coefficients are approximated by intervals (crisp sets) using the nearest interval approximation approach to obtain an interval system. Further, a robust controller is designed using a necessary condition and a sufficient condition for stability of the interval polynomial. These conditions are used to derive a set of inequalities in terms of controller parameters which are solved using linear programming (LP) optimization to obtain a robust controller. The numerical examples and simulation results successfully demonstrate the efficacy of the proposed method for design of robust PI/PID controller for fuzzy parametric uncertain systems.

並列關鍵字

Robust controller ； Fuzzy Parametric Uncertain System ； PI/PID controller

被引用紀錄

黃種柏（2015）。考慮時間加權的圖書借閱推薦方法〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2015.00033

Sun, C. H. (2011). 使用隨機派翠網路之線上網頁推薦系統 [doctoral dissertation, Tamkang University]. Airiti Library. https://doi.org/10.6846/TKU.2011.01087

Ho, Y. L. (2010). 針對三維多核處理器效能優化之一種以溫度為考量的任務分配方法 [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2010.00459

Hsieh, J. (2006). 資料串流環境下查詢方案的最佳化策略 [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2006.00347

Peng, Y. K. (2006). 應用曲線擬合建立資料串流之摘要結構 [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2006.00094

國際替代計量

Design of Robust PI/PID Controller for Fuzzy Parametric Uncertain Systems

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