ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Generalized Weighted Optimal Guidance Laws with Impact Angle Constraints
Received date: 2013-06-24
Revised date: 2013-08-15
Online published: 2013-08-22
Supported by
National Natural Science Foundation of China (61273058)
The impact angle frame is defined which axis is in the direction of the desired impact angle, and the engagement kinematics is established in the impact angle frame. Generalized weighted optimal guidance laws with impact angle constraints are studied for first-order lag control systems and lag-free control systems respectively using Schwarz's inequality approach. For lag-free control systems and first-order lag control systems with elementary function weighting, the analytical forms of weighted optimal guidance laws can be obtained if the integrations of the inverse of the weighting functions up to triple can be analytically given. The results can be applied to guidance law designs for accomplishing different guidance objectives. For some specific weighted functions, the proposed guidance law has extended the results in references. Simulation results are given for the exponential weighting optimal guidance law with impact angle constraints.
ZHANG Youan , HUANG Jie , SUN Yangping . Generalized Weighted Optimal Guidance Laws with Impact Angle Constraints[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(3) : 848 -856 . DOI: 10.7527/S1000-6893.2013.0364
[1] Ratnoo A, Ghose D. Impact angle constrained interception of stationary targets[J]. Journal of Guidance, Control, and Dynamics, 2008, 31(6): 1816-1821.
[2] Ratnoo A, Ghose, D. Impact angle constrained guidance against nonstationary nonmaneuvering targets[J]. Journal of Guidance, Control, and Dynamics, 2010, 33(1): 269-275.
[3] Hu X, Huang X M. Three-dimensional circular guidance law with impact angle constraints [J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(3): 508-519. (in Chinese) 胡锡精, 黄雪梅. 具有碰撞角约束的三维圆轨迹制导律[J]. 航空学报, 2012, 33(3): 508-519.
[4] Lee C H, Kim T H, Tahk M J, et al. Polynomial guidance laws considering terminal impact angle/acceleration constraints[J]. IEEE Transactions on Aerospace and Electronic Systems, 2013, 49(1): 74-92.
[5] Sun S, Zhang H M, Zhou D. Sliding mode guidance law with autopilot lag for terminal angle constrained trajectories[J]. Journal of Astronautics, 2013, 34(1): 69-78. (in Chinese) 孙胜, 张华明, 周荻. 考虑自动驾驶仪动态特性的终端角度约束滑模导引律[J].宇航学报, 2013, 34(1): 69-78.
[6] Zhang Y A, Ma P B. Three-dimensional guidance laws with impact angle and impact time constraints[J]. Acta Aeronautica et Astronautica Sinica, 2008, 29(4): 1020-1026. (in Chinese) 张友安, 马培蓓. 带有攻击角度和攻击时间控制的三维制导[J]. 航空学报, 2008, 29(4): 1020-1026.
[7] Lee J I, Jeon I S, Tahk M J. Guidance law to control impact time and angle[J]. IEEE Transactions on Aerospace and Electronic Systems, 2007, 43(1): 301-310.
[8] Cho H, Ryoo C K, Tahk M J. Implementation of optimal guidance laws using predicted velocity profiles[J]. Journal of Guidance, Control, and Dynamics, 1999, 22(4): 579-588.
[9] Bryson A E, Jr, Ho Y C. Applied optimal control: optimization, estimation and control[M]. Revised ed. New York: Taylor & Francis, 1975: 1-41.
[10] Ryoo C K, Cho H, Tahk M J. Optimal guidance laws with terminal impact angle constraint[J]. Journal of Guidance, Control, and Dynamics, 2005, 28(4): 724-732.
[11] Ryoo C K, Cho H, Tahk M J. Time-to-go weighted optimal guidance with impact angle constraints[J]. IEEE Transactions on Control Systems Technology, 2006, 14(3): 483-492.
[12] Ohlmeyer E J, Philips C A. Generalized vector explicit guidance[J]. Journal of Guidance, Control, and Dynamics, 2006, 29(2): 261-268.
[13] Jeon I S, Lee J I. Optimality of proportional navigation based on nonlinear formulation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2010, 46(4): 2051-2055.
[14] Rusnal I. Exponential criterion-based guidance law for acceleration constrained missile and maneuvering target[J]. Journal of Guidance, Control, and Dynamics, 1996, 19(3): 718-721.
[15] Ben-Asher J Z, Farber N, Levinson S. New proportional navigation law for ground-to-air system[J]. Journal of Guidance, Control, and Dynamics, 2003, 26(5): 822-825.
[16] Zarchan P. Tactical and strategic missile guidance [M]. 5th ed. Reston: AIAA, 2007: 541-547.
/
| 〈 |
|
〉 |
CJA