This paper presents a tracking control problem of flexible air-breathing hypersonic vehicle with input constraint and aerodynamic uncertainty. Without ignoring aero-propulsive and elevator-to-lift couplings, a control-oriented model including aerodynamic uncertainty is firstly established. Then a robust adaptive backstepping control scheme is designed, in which the control-oriented model does not need to be transformed into linear parameterization formulation. Upper bounds of the uncertain terms do not need to be known in advance, which are estimated online by designing robust adaptive laws. To further consider input constraint, a constrained robust adaptive backstepping controller is proposed to simultaneously handle input constraint and aerodynamic uncertainty. Finally, the compared simulation results show the effectiveness of the designed control strategy.
Groves KP, Serrani A, Yurkovich S, et al. Anti-windup control for an air-breathing hypersonic vehicle model. In: AIAA guidance, navigation, and control conference and exhibit, Keystone, Colorado, 21–24 August 2006, paper no. AIAA 2006-6557. Reston, VA: American Institute of Aeronautics and Astronautics.
2.
Levin JM, Ioannou P and Mirmirani M. Adaptive mode suppression scheme for an aeroelastic airbreathing hypersonic cruise vehicle. In: AIAA guidance, navigation, and control conference and exhibit, Honolulu, Hawaii, 18–21 August 2008, paper no. AIAA-2008-7464. Reston, VA: American Institute of Aeronautics and Astronautics.
3.
SigthorssonDOJankovskyPSerraniA. Robust linear output feedback control of an airbreathing hypersonic vehicle. J Guid Control Dyn2008; 31: 1052–1066.
4.
HughesHD. LPV H∞ control for the longitudinal dynamics of a flexible air-breathing hypersonic vehicle, Raleigh, NC: North Carolina State University, 2010.
5.
Bolender M and Doman D. A non-linear model for the longitudinal dynamics of a hypersonic air-breathing vehicle. In: AIAA guidance, navigation and control conference and exhibit, San Francisco, California, 15–18 August 2005, paper no. AIAA-2006-6557. Reston, VA: American Institute of Aeronautics and Astronautics.
6.
BolenderMDomanD. A nonlinear longitudinal dynamical model of an air-breathing hypersonic vehicle. J Spacecraft Rocket2007; 44: 374–387.
7.
Parker JT, Serrani A, Yurkovich S, et al. Approximate feedback linearization of an air-breathing hypersonic vehicle. In: AIAA guidance, navigation, and control conference and exhibit, Keystone, Colorado 21–24 August 2006, paper no. AIAA-2006-6556, pp.1–16. Reston, VA: American Institute of Aeronautics and Astronautics.
8.
Adami TM, Sabala R and Zhu JJ. Time-varying notch filters for control of flexible structures and vehicles. In: 22nd Digital avionics systems conference, Indianapolis, Indiana, 12–16 October 2003, 7.C.1–7.C.6, vol. 2, New York: IEEE.
9.
Adami T and Zhu JJ. Control of a flexible, hypersonic scramjet vehicle using a differential algebraic approach. In: AIAA guidance, navigation, and control conference and exhibit, Honolulu, Hawaii, 18–21 August 2008, paper no. AIAA-2008-7464. Reston, VA: American Institute of Aeronautics and Astronautics.
10.
Rehman O, Fidan B and Petersen IR. Uncertainty modeling and robust minimax LQR control of hypersonic flight vehicles. In: AIAA guidance, navigation, and control conference, Toronto, Ontario, Canada, 2–5 August 2010, paper no. AIAA 2010-8285. Reston, VA: American Institute of Aeronautics and Astronautics.
11.
HuXXWuLGHuCH. Adaptive sliding mode tracking control for a flexible air-breathing hypersonic vehicle. J Frank Inst2012; 349: 559–577.
12.
Lei Y, Cao CY, Cliff E, et al. Design of an L1 adaptive controller for air-breathing hypersonic vehicle model in the presence of unmodeled dynamics. In: AIAA guidance, navigation, and control conference and exhibit, Hilton Head, South Carolina, 20–23 August 2007, paper no. AIAA-2007-6527. Reston, VA: American Institute of Aeronautics and Astronautics.
13.
Kharisov E, Gregory IM, Cao CY, et al. L1 adaptive control for flexible space launch vehicle and proposed plan for flight validation. In: AIAA guidance, navigation, and control conference and exhibit, Honolulu, Hawaii, 18–21 August 2008, paper no. AIAA-2008-7128. Reston, VA: American Institute of Aeronautics and Astronautics.
14.
Lei Y, Cao CY, Cliff E, et al. L1 adaptive controller for air-breathing hypersonic vehicle with flexible body dynamics. In: American control conference, Virginia Tech, Blacksburg, Virginia, 10–12 June 2009. Dayton, Ohio: American Automatic Control Council.
15.
Fiorentini L, Serrani A, Bolende M, et al. Nonlinear robust/adaptive controller design for an airbreathing hypersonic vehicle model. In: AIAA guidance, navigation, and control conference and exhibit, Hilton Head, South Carolina, 20–23 August 2007, paper no. AIAA-2007-6329. Reston, VA: American Institute of Aeronautics and Astronautics.
16.
Fiorentini L, Serrani A, Bolender M, et al. Nonlinear control of a hypersonic vehicle with structural flexibility. In: 47th IEEE conference on decision and control, Cancun, Mexico, 9–11 December 2008, pp.578–583. New York: IEEE.
17.
FiorentiniLSerraniABolenderM. Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles. J Guid Control Dyn2009; 32: 401–415.
18.
SunHFYangZLZengJP. New tracking-control strategy for airbreathing hypersonic vehicles. J Guid Control Dyn2013; 36: 846–859.
19.
Perez-ArancibiaNOTsaoTCGibsonJS. Saturation induced instability and its avoidance in adaptive control of hard disk drives. IEEE Trans Control Syst Technol2010; 18: 368–382.
20.
CaoYYLinZL. Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation. IEEE Trans Fuzzy Syst2003; 11: 57–67.
21.
ChenMGeSSHowBVE. Robust adaptive position mooring control for marine vessels. IEEE Trans Control Syst Technol2013; 21: 395–409.
22.
ChenMGeSSHowBVE. Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Trans Neural Networks2010; 21: 796–812.
23.
Dai D, Hu T, Teel AR, et al. Output feedback synthesis for sampled-data system with input saturation. In: American control conference, 30 June–2 July 2010, vol. 3, pp.1797–1800. Dayton, Ohio: American Automatic Control Council.
24.
VolyanskyyKYHaddadWMBaileyJM. Neuroadpative output feedback control for nonlinear nonnegative dynamical systems with actuator amplitude and integral constraints. Int J Adapt Control Signal Process2011; 25: 483–501.
25.
ZhouJLiuZTSuHY. Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans Automatic Control2011; 56: 1672–1678.
26.
HuangJHWenCYWangW. Adaptive stabilization and tracking control of a nonholonomic mobile robot with input saturation and disturbance. Syst Control Lett2013; 62: 234–241.
27.
Serrani A, Zinnecker AM, Fiorentini L, et al. Integrated adaptive guidance and control of constrained nonlinear air-breathing hypersonic vehicle models. In: American control conference, Hyatt Regency, Riverfront, St. Louis, Missouri, 10–12 June 2009, pp.3172–3177. Dayton, Ohio: American Automatic Control Council.
28.
JonhsonECaliseA. Limited authority adaptive flight control for reusable launch vehicles. J Guid Control Dyn2003; 26: 906–913.
29.
Zinnecker A, Serrani A, Bolender MA, et al. Combined reference governor and anti-windup design for constrained hypersonic vehicles models. In: AIAA guidance, navigation, and control conference, Chicago, Illinois, 10–12 August 2009, paper no. AIAA-2009-6283. Reston, VA: American Institute of Aeronautics and Astronautics.
30.
Recasens JJ, Chu QP and Mulder JA. Robust MPC of a feedback linearized system for a lifting-body reentry vehicle. In: AIAA guidance, navigation and control conference and exhibit, San Francisco, California, 15–18 August 2005, paper no. AIAA-2005-6147. Reston, VA: American Institute of Aeronautics and Astronautics.
31.
Van SoestWRChuQPMulderJA. Combined feedback linearization and constrained model predictive control for entry flight. J Guid Control Dyn2006; 29: 427–434.
32.
Vaddi SS and Sengupta P. Controller design for hypersonic vehicles accommodating nonlinear state and control constraints. In: AIAA guidance, navigation and control conference, Chicago, Illinois, 10–12 August 2009, paper no. AIAA-2009-6286. Reston, VA: American Institute of Aeronautics and Astronautics.
33.
GaoY. Linear feedback guidance for low-thrust many-revolution earth-orbit. J Spacecraft Rocket2009; 46: 1320–1325.
34.
GaoGWangJZ. Reference command tracking control for an air-breathing hypersonic vehicle with parametric uncertainties. J Frank Inst2013; 350: 1155–1188.
35.
Liu YB, Xiao DB and Lu YP. Research on advanced fight control methods based on actuator constraints for elastic model of hypersonic vehicle. Proc IMechE, Part G: J Aerospace Engineering. Epub ahead of print 6 August 2013. DOI: 10.1177/0954410013498072.
36.
Zong Q, Wang F and Tian BL. Nonlinear adaptive filter backstepping flight control for reentry vehicle with input constraint and external disturbances. Proc IMechE, Part G: J Aerospace Engineering. Epub ahead of print 5 April 2013. DOI: 10.1177/0954410013482238.
37.
Waseem AB, Lin Y and Amezquita SK. Adaptive dynamic surface control of a hypersonic flight vehicle with magnitude, rate and bandwidth constraints. In: Preprints of the 18th IFAC World Congress Milano (Italy), 28 August–2 September 2011, Paris, FRA: International Federation of Automatic Control, pp.5341–5346.
38.
Waseem AB, Lin Y and Amezquita SK. Adaptive integral dynamic surface control of a hypersonic flight vehicle. Int J Syst SCI. Epub ahead of print 15 August 2013. DOI: 10.1080/00207721.2013.828798.
39.
XuBHuangXYWangDW. Dynamic surface control of constrained hypersonic flight models with parameter estimation and actuator compensation. Asian J Control2014; 16: 1–13.
40.
WaseemABLinYAmezquitaSK. Adaptive dynamic surface control of a hypersonic flight vehicle with improved tracking. Asian J Control2014; 16: 1–12.
41.
Fidan B, Mirmirani M and Ioannou P. Flight dynamics and control of airbreathing hypersonic vehicles: Review and new directions. In: AIAA international space planes and hypersonic systems and technologies, Norfolk, Virginia, 12–19 December 2003, paper no. AIAA-2003-7081. Reston, VA: American Institute of Aeronautics and Astronautics.
42.
Williams T, Bolender MA, Doman DB, et al. An aerothermal flexible mode analysis of a hypersonic vehicle. In: AIAA atmospheric flight mechanics conference and exhibit, Chicago, Illinois, 10–12 August 2009, paper no. AIAA-2009-6286. Reston, VA: American Institute of Aeronautics and Astronautics.
43.
Bolender MA. An overview on dynamics and controls modeling of hypersonic vehicles. In: American control conference, St. Louis, Missouri, 10–12 June 2009, pp.2507–2512. Dayton, Ohio: American Automatic Control Council.
44.
Sigthorsson DO and Serrani A. Development of linear parameter-varying models of hypersonic air-breathing vehicles. In: AIAA guidance, navigation, and control conference, Chicago, Illinois, 10–13 August 2009, paper no. AIAA 2009-6282. Reston, VA: American Institute of Aeronautics and Astronautics.
45.
ChenMGeSSRenBB. Adaptive tracking control of uncertain MIMO nonlinear systems with Input Constraints. Automatica2011; 47: 452–465.
46.
HuQL. Robust adaptive sliding mode attitude maneuvering and vibration damping of three-axis-stabilized flexible spacecraft with actuator saturation limits. Nonlinear Dyn2009; 55: 301–321.
47.
ZhuZXiaYQFuMY. Adaptive sliding mode control for attitude stabilization with actuator saturation. IEEE Trans Ind Electron2011; 58: 4898–4907.
48.
WheelerGSuCStepanenkoY. A sliding mode controller with improved adaptation laws for the upper bounds on the norm of uncertainties. Automatica1998; 34: 1657–1661.
