| DC 欄位 |
值 |
語言 |
| DC.contributor | 機械工程學系 | zh_TW |
| DC.creator | 梁恩晟 | zh_TW |
| DC.creator | En-Chen Liang | en_US |
| dc.date.accessioned | 2019-7-24T07:39:07Z | |
| dc.date.available | 2019-7-24T07:39:07Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=106323062 | |
| 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 | 本論文探討多項式模糊系統之切換式靜態輸出回授控制器設計，包含了連續時間系統及離散時間系統。藉由最小型片段式李亞普諾夫函數作穩定性分析，其型式為V(x)=min_{1leq l leq N}ig{V_l(x)ig}，
片段式李亞普諾夫函數亦為控制器切換的依據。在連續時間系統中，為了解決非凸項$dot P(x)$的問題，使用尤拉齊次多項式定理來建立片段函數
V_l(x)=x^TP_l(x)x=frac{1}{g(g-1)}x^T
abla_{xx}V_l(x)x
在離散系統中，為了避免未知數的影響，以利電腦模擬順利進行，本論文將片段函數定義為V_l(x)=x^TP_l^{-1}( ilde x)x，
其中$ ilde x$是不受控制力直接影響的狀態集合，在文中有詳細說明。
在電腦模擬中，使用了平方和方法檢測穩定性條件，並設計出切換式靜態輸出回授控制器。 | zh_TW |
| dc.description.abstract | In this paper, we study switching static output feedback control problem for both continuous- and discrete-time polynomial fuzzy systems.
The stabilization of the systems is proved with minimum-type piecewise Lyapunov functions, which have the form V(x)=min_{1leq l leq N}ig{V_l(x)ig}.
Switching mechanism of the controllers is also based on piecewise Lyapunov functions. In continuous-time systems, in order to remove non-convex term dot P(x), via Euler′s theorem for homogeneous functions we establish piecewise functions as follows.
V_l(x)=x^TP_l(x)x=frac{1}{g(g-1)}x^T
abla_{xx}V_l(x)x
In discrete-time systems, the piecewise functions are defined as V_l(x)=x^TP_l^{-1}( ilde x)x$ to prevent problems where ilde x is the set of states whose corresponding row in B_i(x) are empty. Further details are described in the text.
In numerical examples, stability conditions and controller synthesis are tested and solved via sum-of-squares approach. | en_US |
| DC.subject | 平方和(sum of squares) | zh_TW |
| DC.subject | 多項式模糊系統(polynomial fuzzy systems) | zh_TW |
| DC.subject | 尤拉齊次多項式定理(Euler′s Theorem for Homogeneous Functions) | zh_TW |
| DC.subject | 切換式靜態輸出回授控制(switching static output feedback control) | zh_TW |
| DC.subject | 最小型片段式李亞普諾夫函數(minimum-type piecewise Lyapunov functions) | zh_TW |
| DC.subject | Sum of squares | en_US |
| DC.subject | Polynomial fuzzy systems | en_US |
| DC.subject | Euler′s Theorem for Homogeneous Functions | en_US |
| DC.subject | Switching static output feedback control | en_US |
| DC.subject | Minimum-type piecewise Lyapunov functions | en_US |
| DC.title | 切換式靜態輸出回授控制—齊次李亞普諾夫法 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | Switching Static Output Feedback Controller for Polynomial Fuzzy Systems via Homogeneous Lyapunov Functions | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |