| DC 欄位 |
值 |
語言 |
| DC.contributor | 機械工程學系 | zh_TW |
| DC.creator | 蔡錦福 | zh_TW |
| DC.creator | Chin-fu Tsai | en_US |
| dc.date.accessioned | 2010-6-21T07:39:07Z | |
| dc.date.available | 2010-6-21T07:39:07Z | |
| dc.date.issued | 2010 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=973203089 | |
| 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 | 本篇論文主要研究連續時間強健(Robust)控制系統及離散時間Takagi-Sugeno(T-S)模糊控制系統的非二次(non-quadratic)穩定寬鬆條件;我們利用波雅定理(P´olya Theorem)的代數性質加上寬鬆矩陣變數(slack matrix variables)來建立一組寬鬆的線性矩陣不等式(LMI),因為非二次(non-quadratic)穩定的分析加上寬鬆矩陣變數(slack matrix variables)的使用,使得此組線性矩陣不等式(LMI) 的求解保守性更進一步的降低,亦即當使用波雅定理
(P´olya Theorem)時,齊次多項式的階數不用太高,就可以找到解,這是本論文最大的優點;最後會提出幾個例子來證明我們理論的優越性。
| zh_TW |
| dc.description.abstract | In this thesis,we investigate non-quadratic ralaxation for continuous time robust control systems and discreate time fuzzy control systems,which are characterized by parameter-dependent LMIs (PD-LMIs),exploiting the algebraic property of P´olya Theorem to construct a family of finite dimensional LMI relaxations with righ-hand-side slack matrices that release conservatism.Certificates of convergence is proved.Lastly,numerical experiments to illustrate the advantage of relaxations,being less conservative and effective, are provided.
| en_US |
| DC.subject | 線性矩陣不等式 | zh_TW |
| DC.subject | 非二次穩定 | zh_TW |
| DC.subject | 寬鬆矩陣變數 | zh_TW |
| DC.subject | 波雅定理 | zh_TW |
| DC.subject | 模糊控制系統 | zh_TW |
| DC.subject | 強健控制系統 | zh_TW |
| DC.subject | Slack matrices | en_US |
| DC.subject | Linear matrix inequality | en_US |
| DC.subject | Takagi-Sugeno fuzzy control systems | en_US |
| DC.subject | Robust control systems | en_US |
| DC.subject | P´olya Theorem | en_US |
| DC.subject | Parameter-dependent LMIs | en_US |
| DC.subject | Non-quadratic relaxations | en_US |
| DC.title | 強健控制系統之寬鬆穩定條件 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | Relaxation Study Assuring Non-quadratic Robust Stability | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |