H∞ output tracking fuzzy control for nonlinear systems with time-varying delay
學年 100
學期 2
出版(發表)日期 2012-05-01
作品名稱 H∞ output tracking fuzzy control for nonlinear systems with time-varying delay
作品名稱(其他語言) 其時變延遲非線性系統之H∞輸出追蹤模糊控制
著者 Liu, Peter; Chiang, Tung-Sheng
單位 淡江大學電機工程學系
出版者 Amsterdam: Elsevier BV
著錄名稱、卷期、頁數 Applied Soft Computing 12(9), pp.2963-2972
摘要 This paper proposes an observer-based output tracking control via virtual desired reference model for a class of nonlinear systems with time-varying delay and disturbance. First, the Takagi–Sugeno fuzzy model represents the nonlinear system with time-varying delay and disturbance. Then we design an observer to estimate immeasurable states and controller to drive the error between estimated state and virtual desired variables (VDVs) to zero such that the overall control output tracking system has H∞ control performance. Using Lyapunov–Krasovskii functional, we derive sufficient conditions for stability. The advantages of the proposed output control system are (i) systematic approach to derive VDVs for controller design; (ii) relaxes need for real reference model; (iii) drops need for information of equilibrium; (iv) relaxed condition is provided via three-step procedure to find observer and controller gain. We carry out simulation using a continuous stirred tank reactor system where the effectiveness of the proposed controller is demonstrated by satisfactory numerical results. 本論文對具時變延遲與干擾之非線性系統提出以估測器為基礎之輸出迴授控制,並以虛擬參考變數產生參考信號。首先,以TS模糊模型表示具時變延遲與干擾之非線性系統。再以估測器重建無法量測之狀態,使得控制器以H∞效能追蹤虛擬參考變數,將誤差信號趨近零。其中以Lyapunov-Kravoskii 泛函,推得穩定之充分條件,並進一步化為線性矩陣不等式。最後利用連續攪拌槽式反應器為例,執行模擬驗證,結果得以印證理論之推導。
關鍵字 Time-delay systems; T–S fuzzy; Virtual desired variables; Linear matrix inequalities
語言 en
ISSN 1568-4946 1872-9681
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Liu, Peter; Chiang, Tung-Sheng
審稿制度
國別 NLD
公開徵稿
出版型式 ,電子版,紙本
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