臺灣博碩士論文加值系統

本篇論文是實現經由混合 H2/H∞最佳化設計分散數位可變結構控制。首先，是將輸出誤差和權重控制輸入H2標準極小化達成以最少能量消耗確保有限追蹤誤差。選擇合適權重函式能減少干擾對控制訊號的影響。然而，因為各軸動態互相影響、模組化的誤差及負載所造成的輸出干擾會降低系統性能或甚至使系統不穩定。在這種情況下，使輸出干擾和輸出誤差間權重敏感性函數H∞標準極小化降低輸出干擾的影響。並且，選擇適當權重可以非常有效抵抗特定的輸出干擾。不需要解戴分泰方程式，特別對低階系統有計算的優勢。最後加入切換模式控制提高系統性能，穩定性的分析是用李雅普諾夫穩定法則。最後用電腦模擬和自走車實驗評估方法的有效性。

In this thesis, a decentralized discrete variable structure control via mixed H2/H∞design was developed. In the beginning, the H2 norm of output error and weighted control input was minimized to obtain a control such that smaller energy consumption with bounded tracking error was assured. In addition, a suitable selection of this weighted function (connected with frequency) could reduce the effect of disturbance on the control input. However, an output disturbance caused by the interactions among subsystems, modeling error, and external load deteriorated system performance or even brought about instability. In this situation, the H∞ norm of weighted sensitivity between output disturbance and output error was minimized to attenuate the effect of output disturbance. Moreover, an appropriate selection of this weighted function (related with frequency) could reject the corresponding output disturbance. No solution of Diophantine equation was required; the computational advantage was especially dominated for low-order system. For further improving system performance, a switching control for every subsystem was also designed. The proposed control (mixed H2/H∞ DDVSC) is a three-step design method. The stability of the overall system was verified by Lyapunov stability criterion. The simulations and experiments of mobile robot were carried out to evaluate the usefulness of the proposed method.

CONTENT
ABSTRACT----------------------------------------------------------------------i
摘要-------------------------------------------------------------------------ii
ACKNOWLEDGMENT--------------------------------------------------------------iii
CONTENTS---------------------------------------------------------------------iv
LIST OF FIGURES AND TABLE-----------------------------------------------------v
Chapter 1 INTODUCTION---------------------------------------------------------1
Chapter 2 PROBLEM FORMULATION-------------------------------------------------3
Chapter 3 MIXED DESIGN FOR DECENTRALIZED DISCRETE VARIABLE STRUCTURE CONTROL-8
3.1 Minimization of ---------------------------------------------------------8
3.2 Minimization of --------------------------------------------------------10
3.3 Switching Control for Enhanced Robustness--------------------------------12
Chapter 4 SIMULATION AND DISCUSSION------------------------------------------16
Chapter 5 APPLICATION TO MOBILE ROBOT----------------------------------------20
5.1 Experimental Setup-------------------------------------------------------20
5.2 Response of CLMR without Load--------------------------------------------21
5.3 Trajectory Tracking of CLMR----------------------------------------------21
Chapter 6 CONCLUSIONS--------------------------------------------------------22
APPENDIXES------------------------------------------------------------------24 REFERENCES------------------------------------------------------------------26

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