Abstract
The command filter based robust nonlinear controller is designed for the longitudinal dynamics of a generic hypersonic aircraft in presence of parametric model uncertainty and magnitude constraints on the states and actuators. The functional subsystems are transformed into the linearly parameterized form and the controller is proposed based on dynamic inversion and adaptive gain. Since the dynamics are with cascade structure, the states are considered as virtual control and the signal is filtered to produce the limited command signal and its derivative. To eliminate the effect of the constraint, the auxiliary error compensation design is employed and the parameter projection estimation is proposed based on the compensated tracking error. The uniformly ultimately boundedness is guaranteed for the closed-loop control system. Simulation results show that the proposed approach achieves good tracking performance.
Similar content being viewed by others
References
Zhu, S., Wang, D.: Adversarial ground target tracking using uavs with input constraints. J. Intell. Robot. Syst. 65(1–4), 521–532 (2012)
Zhu, S., Wang, D., Low, C.: Cooperative control of multiple uavs for source seeking. J. Intell. Robot. Syst. 70(1–4), 293–301 (2013)
Zhu, S., Wang, D., Low, C.: Ground target tracking using uav with input constraints. J. Intell. Robot. Syst. 69(1–4), 417–429 (2013)
Schmidt, D.: Dynamics and Control of Hypersonic Aeropropulsive/Aeroelastic Vehicles. AIAA Paper 1992–4326 (1992)
Schmidt, D.: Optimum mission performance and multivariable flight guidance for airbreathing launch vehicles. J. Guid. Control. Dyn. 20(6), 1157–1164 (1997)
Xu, H., Mirmirani, M., Ioannou, P.: Adaptive sliding mode control design for a hypersonic flight vehicle. J. Guid. Control. Dyn. 27(5), 829–838 (2004)
Shaughnessy, J., Pinckney, S., McMinn, J., Cruz, C., Kelley, M.: Hypersonic Vehicle Simulation Model: Winged–Cone Configuration. NASA TM 102610 (1990)
Gao, D.X., Sun, Z.Q.: Fuzzy tracking control design for hypersonic vehicles via TS model. Sci. China Inf. Sci. 54(3), 521–528 (2011)
Kokotovic, P.: The joy of feedback: nonlinear and adaptive: 1991 Bode prize lecture. IEEE Control. Syst. Mag. 12, 7–17 (1991)
Gao, D., Sun, Z., Liu, J.: Dynamic inversion control for a class of pure-feedback systems. Asian J. Control 14(2), 605–611 (2012)
Xu, B., Sun, F., Yang, C., Gao, D., Ren, J.: Adaptive discrete-time controller design with neural network for hypersonic flight vehicle via back-stepping. Int. J. Control 84(9), 1543–1552 (2011)
Xu, B., Sun, F., Liu, H., Ren, J.: Adaptive Kriging controller design for hypersonic flight vehicle via back-stepping. IET Control Theory Appl. 6(4), 487–497 (2012)
Xu, B., Wang, D., Sun, F., Shi, Z.: Direct neural discrete control of hypersonic flight vehicle. Nonlinear Dyn. 70(1), 269–278 (2012)
Xu, B., Gao, D., Wang, S.: Adaptive neural control based on HGO for hypersonic flight vehicles. Sci. China Inf. Sci. 54(3), 511–520 (2011)
Fiorentini, L., Serrani, A., Bolender, M., Doman, D.: Robust nonlinear sequential loop closure control design for an air-breathing hypersonic vehicle model. In: American Control Conference, Seattle, USA, pp. 3458–3463 (2008)
Fiorentini, L., Serrani, A., Bolender, M., Doman, D.: Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles. J. Guid. Control. Dyn. 32(2), 401–416 (2009)
Wang, D., Huang, J.: Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans. Neural Netw. 16(1), 195–202 (2005)
Gao, D., Sun, Z., Du, T.: Dynamic surface control for hypersonic aircraft using fuzzy logic system. In: IEEE Int. Conf. on. Automation and Logistics, Jinan, China, pp. 2314–2319 (2007)
Butt, W., Yan, L., Kendrick, A.: Adaptive dynamic surface control of a hypersonic flight vehicle with improved tracking. Asian J. Control 15(2), 594–605 (2013)
Xu, B., Huang, X., Wang, D. , Sun, F.: Dynamic surface control of constrained hypersonic flight models with parameter estimation and actuator compensation. Asian J. Control. doi:10.1002/asjc.679/abstract
Parker, J., Serrani, A., Yurkovich, S., Bolender, M., Doman, D.: Contorl-oriented modeling of an air-breathing hypersonic vehicle. J. Guid. Control. Dyn. 30(3), 856–869 (2007)
Farrell, J., Polycarpou, M., Sharma, M.: On-line approximation based control of uncertain nonlinear systems with magnitude, rate and bandwidth constraints on the states and actuators. In: American Control Conference (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xu, B., Wang, S., Gao, D. et al. Command Filter Based Robust Nonlinear Control of Hypersonic Aircraft with Magnitude Constraints on States and Actuators. J Intell Robot Syst 73, 233–247 (2014). https://doi.org/10.1007/s10846-013-9941-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10846-013-9941-4