臺灣博碩士論文加值系統

本論文之目的在於攔截變軌彈道飛彈，因此除了一般傳統飛彈飛行軌跡外，並建立彈道飛彈目標變軌之導引律，提出一估測器，使攔截器得以估測目標逃逸加速度，進而提出攔截器之終端導引律，使其包含目標之逃逸加速度，而達到攔截逃逸目標的性能。
在彈道目標方面，本研究先以曲線導引法建立彈道飛彈變軌後之軌跡，該法除了可依據彈道目標變軌之需求調整第一中間點與第二中間點之位置外，而該軌跡亦能同时滿足誤失距離和終端落角要求；在反彈道飛彈方面則是以擴增狀態觀測器為基礎，針對終端尋標器開啟後，根據所得到之資訊，如相對距離，視線角度及視線角變化率，於彈置計算機上以一個簡單、有效且快速之方法，估測目標之逃逸加速度，最後進行彈道飛彈攔截的導引律設計。

The objective of this research is to intercept tactical ballistic missiles with variable trajectories. We first construct a guidance law to generate variable trajectories for the tactical ballistic target. For the interceptor, an extended state observer (ESO) is designed for estimating the target evasive acceleration. Finally, a terminal guidance is proposed for the interceptor to against the evasive ballistic target by utilizing the target evasive information provided by the ESO.
For the ballistic target, the spline guidance is proposed to construct variable trajectories by setting two middle points. A variety of variable flight trajectories of the target maneuver is investigated and evaluated. As for the interceptor, the target trajectory estimation algorithm is developed based on a 2nd –order ESO using the information acquired from the seeker on the interceptor. Finally, the ESO is incorporated with the guidance law to fulfill the anti-evasive ballistic target’s guidance law design.

誌謝 i
摘要 ii
Abstract iii
Contents iv
List of Figures vi
List of Tables ix
Nomenclature x
Chapter 1 Introduction 1
1.1 TBM Target 1
1.2 Trajectory Estimation and Interception 1
Chapter 2 System Description 4
2.1 Definition of Coordinate System 4
2.1.1 Earth-Centered Earth-Fixed (ECEF) Coordinate System 4
2.1.2 World Geodetic System (WGS-84) 4
2.1.3 Transformation between ECEF and WGS-84 5
2.2 TBM Target Dynamics 6
Chapter 3 Generation of Variable Trajectory 8
3.1 Introduction 8
3.2 Spline Guidance Law 8
3.3 derivation of S-4 Guidance 9
Chapter 4 Estimation Using Extended State Observer 14
4.1 TBM Model in Reentry Phase 14
4.2 Derivation of the Equations of Motion 15
4.3 Derivation of ESO Equations 18
4.4 ESO with Fal filter 20
4.5 Estimation of evasive acceleration 22
Chapter 5 Interception Based on MPNG 25
5.1 Guidance Laws for Engagement 25
5.1.1 First –Stage Midcourse Guidance 25
5.1.2 Coast Stage 27
5.1.3 Second-Stage Midcourse Guidance 27
5.1.3 Terminal Guidance 28
Chapter 6 Simulation Results and Analysis 31
6.1 Results of TBM Target 31
6.1.1 Changing Destination after Varying Trajectory 31
6.1.2 Same Destination after Varying Trajectory 37
6.1.3 Circular Error Probability (CEP) 43
6.1.3 Effect of the Earth’s Rotation 46
6.2 Trajectory Estimation 47
6.2.1 Comparison of the estimation results with and without coupling terms 47
6.2.2 The effect of Fal filter and ESO parameters 51
6.2.3 A Complete simulation result based on parts 1 and 2 56
6.3 Interceptor 57
Chapter 7 Conclusion 66
Acknowledgment 67
Reference 68

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