Robust controller design for compound control missile with fixed bounded convergence time

doi:10.21629/JSEE.2018.01.12

Abstract

Abstract:

A robust controller for bank to turn (BTT) missiles with aerodynamic fins and reaction jet control system (RCS) is developed based on nonlinear control dynamic models comprising couplings and aerodynamic uncertainties. The fixed time convergence theory is incorporated with the sliding mode control technique to ensure that the system tracks the desired command within uniform bounded time under different initial conditions. Unlike previous terminal sliding mode approaches, the bound of settling time is independent of the initial state, which means performance metrics like convergence rate can be predicted beforehand. To reduce the burden of control design in terms of robustness, extended state observer (ESO) is introduced for uncertainty estimation with the output substituted into the controller as feedforward compensation. Cascade control structure is employed with the proposed control law and therein the compound control signal is obtained. Afterwards, control inputs for two kinds of actuators are allocated on the basis of their inherent characteristics. Finally, a number of simulations are carried out and demonstrate the effectiveness of the designed controller.

Key words: reaction jet control, compound control, fixed bounded convergence time, sliding mode control, extended state observer (ESO)

Yuhang YUN, Shengjing TANG, Jie GUO, Wei SHANG. Robust controller design for compound control missile with fixed bounded convergence time[J]. Journal of Systems Engineering and Electronics, 2018, 29(1): 116-133.

Figures/Tables 15

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References 35

1	DUAN C Y, ZHANG Y X, DONG C Y, et al. Adaptive sliding mode control for bank-to-turn missiles. Proc. of the International Conference on Electronic Measurement & Instruments, 2009(3): 512-517.
2	LIN C F, YUEH W R. Coordinated bank-to-turn autopilot design. Proc. of the American Control Conference, 1985: 922-926.
3	KOVACH M J, STEVENS T R, ARROW A A. A bank-to-turn autopilot design for an advanced air-to-air interceptor. Proc. of the AIAA Guidance, Navigation and Control Conference, 1987: 1346-1353.
4	TAN F, DUAN G R. Global stabilizing controller design for linear time-varying systems and its application on BTT missiles. Journal of Systems Engineering and Electronics, 2008, 19 (6): 117- 1184.
5	SAUSSIÉ D, SAYDY L, AKHRIF O. Gain scheduling control design for a pitch-axis missile autopilot. Proc. of the AIAA Guidance, Navigation and Control Conference and Exhibit, 2008: 7000.
6	YIN Y X. Research on guidance & control method of interceptor missile with aerodynamics and lateral thrust blended. Harbin, China: Harbin Institute of Technology, 2008.
7	WANG P, CHEN W C, YIN X L. Large angle attitude reaction jet control for an air-to-air missile. Acta Aeronautica et Astronautica Sinica, 2005, 26 (3): 263- 267.
8	ZHOU D, SHAO C. Dynamics and autopilot design for endoatmospheric interceptors with dual control systems. Aerospace Science & Technology, 2009, 13 (6): 29- 300.
9	LEE C H, LEE Y W, JUN B E, et al. Design of missile autopilot using PI and approximate feedback linearization control with time-delay adaptation scheme. Proc. of the IEEE Control Conference, 2014: 2762-2767.
10	WISE K A. A trade study on missile autopilot design using optimal control theory. Proc. of the AIAA Guidance, Navigation and Control Conference and Exhibit, 2007: 6673.
11	YANG P F, FANG Y W, CHAI D, et al. Fuzzy control strategy for hypersonic missile autopilot with blended aero-fin and lateral thrust. Proc. of the Institution of Mechanical Engineers Part I Journal of Systems & Control Engineering, 2015, 128(21): 415-427.
12	CHAI D, FANG Y W, WU Y L, et al. Aerodynamic force and lateral thrust blended control for hypersonic missile using fuzzy control algorithm. Proc. of the Control Conference, 2015: 3567-3572.
13	DURHAM W C. Constrained control allocation -threemoment problem. Journal of Guidance Control & Dynamics, 1994, 17 (2): 330- 336.
14	KISHORE W C A, SEN S, RAY G, et al. Dynamic control allocation for tracking time-varying control demand. Journal of Guidance Control & Dynamics, 2015, 31 (4): 1150- 1157.
15	HUANG H. Control allocation of reaction control jets: quantization and stability. Journal of Guidance Control & Dynamics, 2015, 38 (1): 115- 119.
16	ZHOU R, WANG J. Adaptive control allocation between aerodynamic fin and side thruster and controller design using multi-objective optimization. Acta Aeronautica et Astronautica Sinica, 2007, 28 (1): 187- 190.
17	GAO F, TANG S J, SHI J, et al. Compound control allocation strategy of dual aero/jet vane control missile. Transaction of Beijing Institute of Technology, 2012, 21 (4): 434- 441.
18	XU B, ZHOU D. Backstepping and control allocation for dual aero/propulsive missile control. Systems Engineering & Electronics, 2014, 36 (3): 527- 531.
19	SHTESSEL Y B, SHKOLNIKOV I A, LEVANT A. Guidance and control of missile interceptor using second-order sliding modes. IEEE Trans. on Aerospace & Electronic Systems, 2009, 45 (1): 110- 124.
20	LIU L, ZHU J, TANG G, et al. Diving guidance via feedback linearization and sliding mode control. Aerospace Science & Technology, 2015, 41, 16- 23.
21	ZHOU D, SUN S, TEO K L, et al. Guidance laws with finite time convergence. Journal of Guidance Control & Dynamics, 2009, 32 (6): 1838.
22	YU X H, MAN Z H. Fast terminal sliding-mode control design for nonlinear dynamical systems. IEEE Trans. on Circuits & Systems I Fundamental Theory & Applications, 2002, 49 (2): 261- 264.
23	WANG Z, LI S H, FEI S M. Finite-time tracking control of bank-to-turn missiles using terminal sliding mode. Icic Express Letters, 2009, 3 (4): 1373- 1380.
24	HUI L, LI J. Terminal sliding mode control for spacecraft formation flying. IEEE Trans. on Aerospace & Electronic Systems, 2009, 45 (3): 835- 846.
25	KUMAR S R, RAO S, GHOSE D. Nonsingular terminal sliding mode guidance and control with terminal angle constraints for non-maneuvering targets. Proc. of the 12th IEEE International Workshop on Variable Structure Systems, 2012: 291-296.
26	WANG X, WANG J. Partial integrated missile guidance and control with finite time convergence. Journal of Guidance Control & Dynamics, 2013, 36 (5): 1399- 1409.
27	POLYAKOV A. Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans. on Automatic Control, 2012, 57 (8): 2106- 2110. doi: 10.1109/TAC.2011.2179869
28	ZUO Z Y, LIN T. Distributed robust finite-time nonlinear consensus protocols for multi-agent systems. International Journal of Systems Science, 2016, 47 (6): 1366- 1375. doi: 10.1080/00207721.2014.925608
29	ZUO Z Y. Non-singular fixed-time terminal sliding mode control of non-linear systems. IET Control Theory & Applications, 2014, 9 (4): 545- 552.
30	JIANG B, HU Q, FRISWELL M I. Fixed-time attitude control for rigid spacecraft with actuator saturation and faults. IEEE Trans. on Control Systems Technology, 2016, 24 (5): 1892- 1898. doi: 10.1109/TCST.2016.2519838
31	LI S, YANG J, CHEN W H, et al. Generalized extended state observer based control for systems with mismatched uncertainties. IEEE Trans. on Industrial Electronics, 2012, 59 (12): 4792- 4802. doi: 10.1109/TIE.2011.2182011
32	GUO B Z, ZHAO Z L. On the convergence of an extended state observer for nonlinear systems with uncertainty. Systems & Control Letters, 2011, 60 (6): 420- 430.
33	MA Y Y, TANG S J, GUO J. High angle of attack command generation technique and tracking control for agile missiles. Aerospace Science & Technology, 2015, 45, 324- 334.
34	YANG J, CHEN W H, LI S. Autopilot design of bank-to-turn missiles using state-space disturbance observers. Proc. of the Ukacc International Conference on Control, 2012, 226(1): 1-6.
35	WANG F, ZONG Q, DONG Q, et al. Disturbance observerbased sliding mode backstepping control for a re-entry vehicle with input constraint and external disturbance. Transactions of the Institute of Measurement & Control, 2016, 38 (2): 165- 181.

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