啟發式演算法於結構主動控制LQR 權重最佳化之研究｜國立臺灣科技大學博碩士論文系統

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研究生：	張恩典 Bryan Jevon Sugiarto
論文名稱：	啟發式演算法於結構主動控制LQR 權重最佳化之研究 Metaheuristic Optimization of Weighting Matrices of LQR for Active Structural Control
指導教授：	陳沛清 Pei-Ching Chen
口試委員:	鍾立來 Lap-Loi Chung 鄭明淵 Min-Yuan Cheng 汪向榮 Shiang-Jung Wang
學位類別：	碩士 Master
系所名稱：	工程學院 - 營建工程系 Department of Civil and Construction Engineering
論文出版年：	2019
畢業學年度：	107
語文別：	英文
論文頁數：	148
中文關鍵詞：	Active mass damper 、Linear-quadratic regulator 、Metaheuristic optimization 、Particle swarm optimization 、Genetic algorithm 、Symbiotic organisms search
外文關鍵詞：	Active mass damper, Linear-quadratic regulator, Metaheuristic optimization, Particle swarm optimization, Genetic algorithm, Symbiotic organisms search
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Linear-quadratic regulator (LQR) has been applied to active structural control and
extensively investigated for the past decades. State feedback gains can be obtained by
minimizing a cost function that contains weighted states and control inputs; however, the
selection of weights mostly depends on trial and error with engineering experiences. In
this study, a metaheuristic optimization approach that aims at optimizing LQR weighting
matrices with respect to different objective functions is proposed. Three optimization
methods are applied including particle swarm optimization (PSO), genetic algorithm
(GA), and symbiotic organisms search (SOS). In addition, three objective functions are
proposed which contain the root-mean-square of modal acceleration, peak absolute modal
acceleration, and square root of sum of squares of modal acceleration. A 10-story shear
building with an active mass damper installed on the top floor is adopted to validate the
effectiveness of the proposed method. Numerical simulation results indicate that the PSO
and GA are inferior than the SOS in term of searching the optimized solution of the
objective function. The proposed method will be validated in the structural laboratory in
the future.

Abstract...............................................................i
Acknowledgement....................................................... iii
Contents.............................................................. v
List of Tables........................................................ vii
List of Figures....................................................... xi
List of Symbols .......................................................xvii
CHAPTER 1: INTRODUCTION .............................................. 1
1.1. Research background ............................................. 1
1.2. Scope and objective ............................................. 3
1.3. Outline of the thesis ..........................................  3
CHAPTER 2: LITERATURE STUDY .......................................... 5
2.1. LQR weighting matrices selection based on genetic algorithm (G... 5
2.2. LQR weighting matrices selection based on particle swarm optimization
(PSO) ................................................................ 6
2.3. LQR weighting matrices selection based on others optimization algorithm .. 7
2.4. LQR weighting matrices selection based on non-optimization algorithm ..... 8
CHAPTER 3: METHODOLOGY ............................................... 11
3.1. Analytical model of structure with active mass damper (AMD) ..... 11
3.2. Linear quadratic regulator (LQR) ................................ 13
3.3. Optimization algorithm .......................................... 14
3.3.1. Genetic algorithm (GA) ........................................ 15
3.3.2. Particle swarm optimization (PSO) ............................. 17
3.3.3. Symbiotic organisms search (SOS) .............................. 18
3.4. Objective function .............................................. 20
3.5. Performance Index ............................................... 21
vi
CHAPTER 4: NUMERICAL SIMULATION OF A TEN-STORY BUILDING............... 23
4.1. Structure properties ............................................ 23
4.1.1. Constructing the damping matrix ............................... 23
4.1.2. Effective modal mass of structure ............................. 24
4.2. Determining the best algorithm and best objective functions ..... 25
4.2.1. Best algorithm ................................................ 26
4.2.2. Best objective function ....................................... 27
4.3. Determining the best tuning excitation and controller ........... 28
4.4. Comparison of proposed method with another method ............... 33
4.5. Comparison of proposed method AMD with conventional tuned mass
damper (TMD) ......................................................... 34
4.6. 1% structure weight saturation to design the controller ......... 37
CHAPTER 5: NUMERICAL SIMULATION OF A HIGH-RISE BUILDING .............. 39
5.1. Structure properties ............................................ 39
5.2. The proposed method on 27-story structure ....................... 39
5.3. Comparison of the proposed method with another method in 27-story
structure ............................................................ 40
5.4. Comparison of the proposed method AMD with TMD .................. 41
5.5. 27-story structure under wind load excitation ................... 41
5.6. 1% structure weight saturation to design the controller ......... 42
CHAPTER 6: SUMMARY AND CONCLUSIONS ................................... 45
6.1. Summary ......................................................... 45
6.2. Conclusions ..................................................... 45
REFERENCES ........................................................... 47
                                

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