| Citation: | ZHAO Yao, LI Pu, LIU Juan, et al. Finite-time sliding mode control based 3D guidance law with impact angle constraints[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(2): 273-279. doi: 10.13700/j.bh.1001-5965.2017.0087(in Chinese)
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To deal with the guidance problem of missile for intercepting ground fixed targets, a three-dimensional finite-time sliding mode control based guidance law is proposed in this paper. It is proved by the Lyapunov theory that the guidance law can steer the missile to intercept target with the desired impact angles in both azimuth and elevation. The guidance law has four advantages. First, model decoupling or model linearization is not needed in this work; second, the impact angles in both longitudinal and horizontal can be controled; third, the guidance command can be analytically derived; fourth, the closed-loop system is insensitive to external disturbance as well as parameter uncertainty. The simulation results show that high terminal accuracy and good robustness can be achieved by the proposed guidance law.
| [1] |
KIM M, GRIDER K V.Terminal guidance for impact attitude angle constrained flight trajectories[J].IEEE Transactions on Aerospace and Electronic Systems, 1973, 9(6):852-859.
|
| [2] |
SIOURIS G M.Missile guidance and control systems[M].Berlin:Springer, 2003.
|
| [3] |
ZARCHAN P.Tactical and strategic missile guidance[M].4th ed.Reston:AIAA, 2002.
|
| [4] |
GHAW S N, GHOSE D.Pure proportional navigation against time-varying target maneuvers[J].IEEE Transactions on Aerospace and Electronic Systems, 1996, 32(3):1336-1346.
|
| [5] |
KIM B S, LEE J G, HAN H S.Biased PNG law for impact with angular constraint[J].IEEE Transactions on Aerospace and Electronic Systems, 1998, 34(1):277-288. doi: 10.1109/7.640285
|
| [6] |
JEONG S K, CHO S J, KIM E G. Angle constraint biased PNG[C]//Proceedings of 5th Asian Control Conference. Piscataway, NJ: IEEE Press, 2004: 1849-1854.
|
| [7] |
LU P, DOMAN D B, SCHIERMAN J D.Adaptive terminal guidance for hypervelocity impact in specified direction[J].Journal of Guidance, Control, and Dynamics, 2006, 29(2):269-278. doi: 10.2514/1.14367
|
| [8] |
RATNOO A, GHOSE D.Impact angle constrained interception of stationary targets[J].Journal of Guidance, Control, and Dynamics, 2008, 31(6):1816-1821.
|
| [9] |
RATNOO A, GHOSE D.Impact angle constrained guidance against nonstationary nonmaneuvering targets[J].Journal of Guidance, Control, and Dynamics, 2010, 33(1):269-275. doi: 10.2514/1.45026
|
| [10] |
ZHOU D, MU C D, XU W L.Adaptive sliding-mode guidance of a homing missile[J].Journal of Guidance, Control, and Dynamics, 1999, 22(4):589-594. doi: 10.2514/2.4421
|
| [11] |
SHIMA T.Intercept-angle guidance[J].Journal of Guidance, Control, and Dynamics, 2011, 34(2):484-492. doi: 10.2514/1.51026
|
| [12] |
TAUB I, SHIMA T.Intercept angle missile guidance under time varying acceleration bounds[J].Journal of Guidance, Control, and Dynamics, 2013, 36(3):686-699. doi: 10.2514/1.59139
|
| [13] |
HOU M Z, DUAN G R.Integrated guidance and control of homing missiles against ground fixed targets[J].Chinese Journal of Aeronautics, 2008, 21(2):162-168. doi: 10.1016/S1000-9361(08)60021-7
|
| [14] |
彭双春, 潘亮, 韩大鹏, 等.一种新型三维制导律设计的非线性方法[J].航空学报, 2010, 31(10):2018-2025.
PENG S C, PAN L, HAN D P, et al.A new 3D guidance law based on nonlinear method[J].Acta Aeronautica et Astronautica Sinca, 2010, 31(10):2018-2025(in Chinese).
|
| [15] |
佘文学, 周凤岐.三维非线性变结构寻的制导律[J].宇航学报, 2004, 25(6):681-685.
SHE W X, ZHOU F Q.High precision 3-D nonlinear variable structure guidance law for homing missile[J].Journal of Astronautics, 2004, 25(6):681-685(in Chinese).
|
| [16] |
OZA H B, PADHI R.Impact-angle-constrained suboptimal model predictive static programming guidance of air-to-ground missiles[J].Journal of Guidance, Control, and Dynamics, 2012, 35(1):153-164. doi: 10.2514/1.53647
|
| [17] |
RATNOO A, GHOSE D.State-dependent Riccati-equation-based guidance law for impact-angle-constrained trajectories[J].Journal of Guidance, Control, and Dynamics, 2009, 32(1):320-325. doi: 10.2514/1.37876
|
| [18] |
IMADO F, KURODA T, TAHK M J. A new missile guidance algorithm against a maneuvering target[C]//Proceedings of the AIAA Guidance, Navigation, and Control Conference. Reston: AIAA, 1998: 145-153.
|
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