DC 欄位 |
值 |
語言 |
DC.contributor | 機械工程學系 | zh_TW |
DC.creator | 劉鎔維 | zh_TW |
DC.creator | Jung-Wei Liu | en_US |
dc.date.accessioned | 2016-7-28T07:39:07Z | |
dc.date.available | 2016-7-28T07:39:07Z | |
dc.date.issued | 2016 | |
dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=103323073 | |
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 | 本論文主要研究連續模糊系統之靜態輸出回授控制器設計,使用
非二次李亞普諾夫函數(non-quadratic Lyapunov function) 及其對時間的變化率做為穩定的條件, 並滿足H1 性能指標。本論文分為兩個步驟設計靜態輸出回授控制器,步驟一: 求得狀態回授增益,使用二
次李亞普諾夫函數(quadratic Lyapunov function) ,步驟二: 求解靜態輸出回授增益, 使用非二次李亞普諾夫函數(non-quadratic Lyapunov function),其中以尤拉齊次多項式定理建立非二次李亞普諾夫函數(non-quadratic Lyapunov function),其形式為
V (x) = x′P(x)x = 1/(g(g-1))x′∇xxV (x)x。
電腦模擬方面以平方和方法(Sum-of-Squares) 來檢驗模糊系統的
穩定條件,並設計出狀態回授控制器以及靜態輸出回授控制器。 | zh_TW |
dc.description.abstract | The main contribution in this thesis is static output feedback controller
design of H1 continuous fuzzy system. And we can solve the inequalities derived from non-quadratic Lyapunov function and its time gradient. It’s a two-step procedure for solving output feedback control gain, step 1: solve for state feedback gain (for common P theorem), step 2: solve for static output feedback gain (for homogeneous polynomial P(x) theorem). A non-quadratic Lyapunov function derived from
Euler’s homogeneous polynomial theorem has following form
V (x) = x′P(x)x = 1/(g(g-1))x′∇xxV (x)x。
In numerical simulation, we solve for state feedback gain first and then solve for static output feedback gain with sum-of-squares approach. | en_US |
DC.subject | 非二次穩定 | zh_TW |
DC.subject | 平方和 | zh_TW |
DC.subject | Takagi-Sugeno模糊系統 | zh_TW |
DC.subject | 尤拉齊次多項式定理 | zh_TW |
DC.subject | H∞狀態回授控制 | zh_TW |
DC.subject | H∞靜態輸出回授控制 | zh_TW |
DC.subject | non-quadratic stability | en_US |
DC.subject | sum of squares | en_US |
DC.subject | T-S fuzzy systems | en_US |
DC.subject | Euler′s Theorem for Homogeneous Function | en_US |
DC.subject | H∞ state feedback control | en_US |
DC.subject | H∞ static output feedback control | en_US |
DC.title | 模糊系統H∞靜態輸出回授控制器設計─齊次多項式尤拉法 | zh_TW |
dc.language.iso | zh-TW | zh-TW |
DC.title | H∞ Static Output Feedback Controller Design of Fuzzy Systems Via Homogeneous Euler′s Method | en_US |
DC.type | 博碩士論文 | zh_TW |
DC.type | thesis | en_US |
DC.publisher | National Central University | en_US |