DC 欄位 |
值 |
語言 |
DC.contributor | 機械工程學系 | zh_TW |
DC.creator | 高振舜 | zh_TW |
DC.creator | Jen-Shuen Gao | en_US |
dc.date.accessioned | 2010-6-22T07:39:07Z | |
dc.date.available | 2010-6-22T07:39:07Z | |
dc.date.issued | 2010 | |
dc.identifier.uri | http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=973203068 | |
dc.contributor.department | 機械工程學系 | zh_TW |
DC.description | 國立中央大學 | zh_TW |
DC.description | National Central University | en_US |
dc.description.abstract | 本論文是以狀態回饋控制(state feedback control)研究受控體(fuzzy systems) 所代表的模糊系統穩定與否問題,以及應用波雅定理((P´olya theorem) 於穩定性檢測條件上,以得到較為寬鬆的檢測條件。
內容方面本論文將分為兩部分來進行討論,第一部份為利用多凸面法(multi-convexity),推導滿足Lyapunov穩定性的檢測條件,並加入波雅定理(P´olya theorem),藉由此方法得到更大的解空間,並利用LMI (Linear Matrix Inequality)求解,第二部份為利用平方和SOS (Sum Of Squares)求解。
第一部分為利用多凸面(multi-convexity)的概念,降低一般普遍存於共同P矩陣(common P)論述上的保守性,本論文是建立在非共同$P$解(non-common P)的論述上,並且應用波雅定理(P´olya theorem)加上寬鬆變數(Relaxed variables),因此具有更寬鬆的求解條件。
第二部份,近年來應用於求解的工具,大多以LMI(Linear Matrix Inequality)求解,但其複雜度會隨著矩陣大小以及LMI個數而增大,而利用SOSTOOLS求解則能大大降低其複雜度並且不用額外的寬鬆變數(Relaxed variables)。
| zh_TW |
dc.description.abstract | Based on parameter-dependent Lyapunov function, we study asymptotically copositive relaxation families with certificate of convergence to the existence of parameter-dependent Lyapunov function, releasing the conservatism that commonly exists in the quadratic stability approaches.
| en_US |
DC.subject | 寬鬆變數(Relaxed variables) | zh_TW |
DC.subject | 多凸面(multi-convexity) | zh_TW |
DC.subject | Takagi-Sugeno (T-S) 模糊模型 | zh_TW |
DC.subject | 線性矩陣不等式 (LMI) | zh_TW |
DC.subject | 波雅定理(P´olya theorem) | zh_TW |
DC.subject | 平方和SOS(Sum Of Squares) | zh_TW |
DC.subject | Copositive relaxations | en_US |
DC.subject | Takagi-Sugeno fuzzy model | en_US |
DC.subject | Prameter-dependent Lyapunov function | en_US |
DC.subject | Linear matrix inequality | en_US |
DC.subject | Sum of Squares | en_US |
DC.title | 模糊系統控制-多凸面法-波雅定理 | zh_TW |
dc.language.iso | zh-TW | zh-TW |
DC.title | Fuzzy Systems Control-Convexity-P´olya | en_US |
DC.type | 博碩士論文 | zh_TW |
DC.type | thesis | en_US |
DC.publisher | National Central University | en_US |