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研究生:黃正民
研究生(外文):Cheng-Ming Huang
論文名稱:時延資料採樣系統其脈幅調變和脈寬調變控制器之最佳化數位重新設計
論文名稱(外文):Optimal Digital Redesigns of PAM and PWMControllers for Sampled-Data Time-Delay System
指導教授:蔡聖鴻
指導教授(外文):Jason Sheng Hong Tsai
學位類別:碩士
校院名稱:國立成功大學
系所名稱:電機工程學系碩博士班
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:英文
論文頁數:73
中文關鍵詞:數位重新設計奇異系統脈寬調變觀察器輸入時延脈幅調變最佳控制狀態時延時間延遲資料採樣系統
外文關鍵詞:singular systemobserverPWMPAMstate delayinput delaytime delaysampled-data systemoptimal controldigital redesign
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本論文主要是對於含有狀態時間延遲和輸入時間延遲的資料採樣系統,提出兩種數位重新設計之控制器。一種為以脈幅調變和脈寬調變法則設計之最佳化追蹤器,另一種為以觀察器為基礎之次最佳化追蹤器。我們將先直接對連續系統的最佳控制性能指標做離散化。同時建構一個新的擴增狀態向量,其包含原本系統狀態時延和輸入時延變數,去得到一個不含狀態時延和輸入時延的新擴增系統。然後藉由求解離散化後的二次式最佳控制性能指標,使得數位控制的閉迴路系統其輸出可以密切地吻合參考輸入。在完成上述設計之後,我們再將這個新的數位重新設計之脈幅調變控制器轉換成等效的脈寬調變控制器。第二種方法是當假若系統狀態是無法量得時,我們將利用新建構的擴增系統(其系統矩陣為奇異矩陣),設計一個以觀察器為基礎之次最佳化追蹤器。
The thesis explores two important subjects in control system. One is optimal digital redesigns of PAM and PWM controllers for sampled-data system with state and input delays, the other is a new observer-based suboptimal tracker for the sampled-data time-delay system. We directly convert the continuous-time optimal tracking formulation into the discretized form. And an extended state vector involving all state and input time-delay variables of the original system is constructed to obtain an extended new system without state and input delays. Then, by solving the discretized quadratic optimal tracking formulation makes the output of the digitally controlled closed-loop system to closely match the reference signal. After completing the design, we translate the newly developed digital-redesign pulse-amplitude modulated (PAM) controller into the equivalent pulse-width modulated (PWM) controller. On the other hand, if the states are unmeasured, we utilize the extended system, in which the system matrix is singular, to design an observer-based suboptimal tracker. We also employ applications of the matrix
sign function and model conversion method to solve the difficulty of the observer design.
Abstract..........i
List of figures..........v
Chapter
1. Introduction..........1
2. Optimal Digital Redesigns of PAM and PWM
Controllers forSampled-Data System with State
and Input Delays..........4
2.1 The discretized cost function..........5
2.2 The digitally redesigned optimal tracker
for the time-delay system..........17
2.3 Design of PWM controller for the time-
delay system using digitally redesigned
PAM controller..........21
2.4 An illustrative example..........23
3. Observer-Based Suboptimal Tracker for the
Sampled-Data Time-Delay System..........35
3.1 Observer-based tracker for the continuous-
time/sampled-data systems..........36
3.1.1 Analog linear quadratic tracker and
observer design..........36
3.1.2 Derivation of the new observer-based
tracker for the sampled-data
system..........39
3.2 A new observer-based suboptimal tracker
for the sampled-data time-delay
system..........42
3.3 An illustrative example..........47
4. Conclusions..........54
References..........55
Appendix A..........59
Appendix B..........63
Acknowledgments..........64
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