Abstract
This paper proposes a finite-time decoupling control strategy for aircraft with thrust vector at high angle of attack maneuver. Firstly, the nonlinear mathematical model of the aircraft is presented. Taking into account the insufficiency of the aerodynamic control surface, a thrust vector model with double nozzles is added. Subsequently, a three-channel decoupling control scheme based on finite-time extended state observer is employed to realize the high angle of attack maneuver. Strong coupling among different channels, aerodynamic uncertainties and other unmodeled dynamics are regarded as total disturbance and estimated by a finite-time extended state observer. Super-twisting (SWT) sliding mode control is utilized to obtain expected performance and finite-time stability. The daisy chain method is adopted to realize the control allocation. Finally, the numerical simulations are provided to demonstrate the effectiveness and robustness of the proposed methodology.
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Wu, D., Chen, M., Gong, H.: Robust control of post-stall pitching maneuver based on finite-time observers. ISA Trans. 70(4), 53–63 (2017)
Ozgur, A., Kemal, O.: High-alpha flight maneuverability enhancement of a twin engine fighter-bomber aircraft for air combat superiority using thrust-vectoring control, In: AIAA Guidance, Navigation, and Control Conference and Exhibit, pp. 1–26 (2006)
Ericsson, L.: Challenges in high-alpha vehicle dynamics. Prog. Aerosp. Sci. 31(4), 291–334 (1995)
Yang, J., Zhu, J.: A hybrid NDI control method for the high-alpha super-maneuver flight control. In: Proceedings of American Control Conference, pp. 6747–6753 (2016)
Choudhary, S.K.: Optimal feedback control of a twin rotor MIMO system. Int. J. Simul. Model. 37(1), 46–53 (2017)
Zhang, L., Wang, S., Karimi, H.R., Jasra, A.: Robust finite-time control of switched linear systems and application to a class of servomechanism systems. IEEE-ASME Trans. Mechatron. 20(5), 2476–2485 (2015)
Choudhary, S.K.: Optimal feedback control of twin rotor MIMO system with a prescribed degree of stability. Int. J. Intell. Unman. Syst. 20(5), 2476–2485 (2015)
Snell, S., Enns, D., Garrard, J.: Nonlinear inversion flight control for a supermaneuverable aircraft. J. Guid. Control Dyn. 15(4), 976–984 (1992)
Adams, R., Buffington, J., Banda, S.: Design of nonlinear control laws for high-angle-of-attack flight. J. Guid. Control Dyn. 17(4), 737–746 (1994)
Ronald, H., Cheng, P.: Design for robust aircraft flight control. J. Aircr. 17(1), 1–12 (2017)
Sharma, M.: Flight-path angle control via neuro-adaptive backstepping. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, pp. 1–8 (2002)
Sonneveldt, L., Chu, Q., Mulder, J.: Nonlinear flight control design using constrained adaptive backstepping. J. Guid. Control Dyn. 30(2), 322–336 (2007)
Farrell, J., Polycarpou, M., Sharma, M.: Adaptive backstepping with magnitude, rate, and bandwidth constraints: Aircraft longitude control. In: Proceedings of American Control Conference, pp. 3898–3904 (2003)
Han, J.: From PID to active disturbance rejection control. IEEE Trans. Ind. Electron. 56(3), 900–906 (2009)
Gao, Z.: On the centrality of disturbance rejection in automatic control. ISA Trans. 53, 850–857 (2014)
Luo, S., Sun, Q., Sun, M., Tan, P., Wu, W., Sun, H., Chen, Z.: On decoupling trajectory tracking control of unmanned powered parafoil using ADRC-based coupling analysis and dynamic feedforward compensation. Nonlinear Dyn. 92(4), 1619–1635 (2018)
Aboudonia, A., El-Badawy, A., Rashad, R.: Active anti-disturbance control of a quadrotor unmanned aerial vehicle using the command-filtering backstepping approach. Nonlinear Dyn. 90(1), 581–597 (2017)
Zhang, C., Yang, J., Li, S., Yang, N.: A generalized active disturbance rejection control method for nonlinear uncertain systems subject to additive disturbance. Nonlinear Dyn. 83(4), 2361–2372 (2016)
Yu, Y., Yuan, Y., Yang, H.: Nonlinear sampled-data ESO-based active disturbance rejection control for networked control systems with actuator saturation. Nonlinear Dyn. 95(2), 1415–1434 (2019)
Raj, K., Muthukumar, V., Singh, S.N., Lee, K.W.: Finite-time sliding mode and super-twisting control of fighter aircraft. Aerosp. Sci. Technol. 82(5), 487–498 (2018)
Utkin, V.I., Guldner, J., Shi, J.: Sliding Modes Control in Electromechanical Systems. Taylor and Francis, London (1999)
Emelyanov, S.V., Korovin, S.V., Levantovsky, L.V.: Higher order sliding modes incontrol system. Differ. Equ. 29(11), 1627–1647 (1993)
Defoort, M., Floquet, T., Kokosy, A.: A novel high order sliding mode control scheme. Syst. Control Lett. 58(2), 102–108 (2009)
Levant, A.: Sliding order and sliding accuracy in sliding mode control. Int. J. Control 58(6), 1247–1263 (1993)
Levant, A.: Principles of 2-sliding mode design. Automatica 43(4), 576–586 (2007)
Moreno, J.A., Osorio, M.: Strict Lyapunov functions for the super-twisting algorithm. IEEE Trans. Autom. Control 57(4), 1035–1040 (2012)
Nagesh, I., Edwards, C.: A multivariable super-twisting sliding mode approach. Automatica 50(3), 984–988 (2014)
Defoort, M., Nollet, F., Floquet, T., et al.: A third-order sliding-mode controller for a stepper motor. IEEE Trans. Ind. Electron. 56(9), 3337–3346 (2009)
Mobayen, S., Tchier, F., Ragoub, L.: Design of an adaptive tracker for n-link rigid robotic manipulators based on super-twisting global nonlinear sliding mode control. Int. J. Syst. Sci. 48(9), 1990–2002 (2017)
Haghighi, D.A., Mobayen, S.: Design of an adaptive super-twisting decoupled terminal sliding mode control scheme for a class of fourth-order systems. ISA Trans. 75, 216–225 (2018)
Nasiri, M., Mobayen, S., Zhu, Q.M.: Super-twisting sliding mode control for gearless PMSG-based wind turbine. Complexity, Early Access 1–15 (2019). https://doi.org/10.1155/2019/6141607
Qin, Y., Rath, J., Hu, C., Sentouh, C., Wang, R.: Adaptive nonlinear active suspension control based on a robust road classifier with a modified super-twisting algorithm. Nonlinear Dyn. 97(4), 2425–2442 (2019)
Levant, A.: High-order sliding modes, differentiation and output-feedback control. Int. J. Control 76(9), 924–941 (2003)
Wang, X., Lin, H.: Design and frequency analysis of continuous finite-time-convergent differentiator. Aerosp. Sci. Technol. 18(1), 69–78 (2012)
Davila, J., Fridman, L., Levant, A.: Second-order sliding-mode observer for mechanical systems. IEEE Trans. Autom. Control 50(11), 1785–1789 (2005)
Lu, K., Xia, Y.: Finite-time attitude control for rigid spacecraft-based on adaptive super-twisting algorithm. IET Control Theory Appl. 8(15), 1465–1477 (2014)
Levant, A., Pridor, A., Gitizadeh, R., Yaesh, I., Benasher, J.: Aircraft pitch control via second-order sliding technique. J. Guid. Control Dyn. 23(4), 586–594 (2000)
Raj, K., Muthukumar, V., Singh, S.: Robust higher-order sliding mode control systems for roll-coupled maneuvers of aircraft using output feedback. In: Proceedings of 2018 Atmospheric Flight Mechanics Conference, pp. 1–22 (2018)
Zong, Q., Dong, Q., Wang, F., Tian, B.: Super twisting sliding mode control for a flexible air-breathing hypersonic vehicle based on disturbance observer. Sci. China Inf. Sci. 58(7), 1–15 (2015)
Jiang, T., Lin, D., Song, T.: Finite-time control for small-scale unmanned helicopter with disturbances. Nonlinear Dyn. 96(3), 1747–1763 (2019)
Stevens, B., Lewis, F.: Aircraft Control and Simulation. Wiley, Hoboken (2007)
Basin, M., Yu, P., Shtessel, Y.: Finite- and fixed-time differentiators utilising HOSM techniques. IET Control Theory Appl. 11(8), 1144–1152 (2016)
Bhat, S., Bernstein, D.: Finite-time stability of continuous autonomous systems. SIAM J. Control Optim. 38(3), 751–766 (2000)
Liu, J., Sun, M., Chen, Z., Sun, Q.: Practical coupling rejection control for Herbst maneuver with thrust vector. AIAA J. Aircr. 56(4), 1726–1734 (2019)
Mukherjee, K., Thomas, P., Manoranjan, S.: Automatic recovery of a combat aircraft from a completed cobra and Herbst maneuver: a sliding mode control based scheme. In: Proceedings of 2nd Indian Control Conference, pp. 259–266 (2016)
Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant Nos. 61973175, 61573197, 61973172 and the Key Technologies R&D Program of Tianjin Grant No. 19JCZDJC32800. The authors thank the editors and the anonymous reviewers for their helpful comments and suggestions that allowed us to improve the paper.
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Appendix: Nomenclature
Appendix: Nomenclature
Nomenclature | Interpretation |
---|---|
\(\alpha ,\beta \) | Angle of attack, sideslip angle |
V | Flight speed |
g | Gravitational acceleration |
\(\mu \) | Bank angle about the velocity vector |
\(\gamma \) | Flight path angle |
\(\chi \) | Velocity heading angle |
T | Total engine thrust |
\(\bar{q}\) | Dynamic pressure |
\(I_{xx},I_{yy},I_{zz}\) | Roll, pitch, yaw inertia moments |
p, q, r | Components of angular velocity |
\(x_E,y_E,z_E\) | Position coordinates |
\(C_{x\_\mathrm{tot}}\) | Aerodynamic force coefficient in x axis |
\(C_{y\_\mathrm{tot}}\) | Aerodynamic force coefficient in y axis |
\(C_{z\_\mathrm{tot}}\) | Aerodynamic force coefficient in z axis |
\(C_{l\_\mathrm{tot}}\) | Aerodynamic torque coefficient in x axis |
\(C_{m\_\mathrm{tot}}\) | Aerodynamic torque coefficient in y axis |
\(C_{n\_\mathrm{tot}}\) | Aerodynamic torque coefficient in z axis |
\(T_x,T_y,T_z\) | Thrust components in three axes |
l, m, n | Aerodynamic torque |
\(l_T,m_T,n_T\) | Thrust vector torque |
\(\delta _e,\delta _a,\delta _r\) | Aerodynamic surfaces deflection angles |
\(\delta _x,\delta _y,\delta _z\) | Thrust vector deflection angles |
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Liu, J., Sun, M., Chen, Z. et al. Super-twisting sliding mode control for aircraft at high angle of attack based on finite-time extended state observer. Nonlinear Dyn 99, 2785–2799 (2020). https://doi.org/10.1007/s11071-020-05481-1
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DOI: https://doi.org/10.1007/s11071-020-05481-1