This article studies the fixed-time robust control problem for the longitudinal dynamics of hypersonic vehicles in the presence of parametric uncertainties, external disturbances and input constraints. First, the dynamic model is transformed into two fourth-order integral chain subsystems by feedback linearization technology. Four novel fast integrating sliding surfaces are designed for each subsystem to guarantee the fixed time convergence of the errors and the derivatives. The double power reaching law is investigated to accelerate the convergence of sliding surfaces. Furthermore, the fixed-time disturbance observer technique is applied to estimate the lumped disturbance precisely. A novel fixed-time anti-saturation auxiliary system is designed to tackle the saturation caused by constraints of actuators. Then the semi-global uniform boundedness of the closed-loop system in a fixed time is proved by Lyapunov’s stability theory. Finally, comparison simulation experiments with the existing higher order sliding mode control method are carried out to verify the proposed method’s effectiveness and superiority.
SziroczakDSmithH. A review of design issues specific to hypersonic flight vehicles. Prog Aerosp Sci2016; 84: 1–28.
2.
LiSSunHSunC. Composite controller design for an airbreathing hypersonic vehicle. Proc IMechE, Part I: J Systems and Control Engineering2012; 226: 651–664.
3.
TangTQiRJiangB. Adaptive nonlinear generalized predictive control for hypersonic vehicle with unknown parameters and control constraints. Proc IMechE, Part G: J Aerosapce Engineering2019; 233: 510–532.
4.
WangFGuoYWangK, et al. Disturbance observer based robust backstepping control design of flexible air-breathing hypersonic vehicle. IET Cont Theor Appl2019; 13: 572–583.
5.
LiuXYuZWangS, et al. Backstepping attitude control for hypersonic gliding vehicle based on a robust dynamic inversion approach. Proc IMechE, Part I: J Systems and Control Engineering2014; 228: 543–552.
6.
YeLZongQCrassidisJL, et al. Output-redefinition-based dynamic inversion control for a nonminimum phase hypersonic vehicle. IEEE Trans Ind Electron2018; 65: 3447–3457.
7.
BuXHeGWangK. Tracking control of air-breathing hypersonic vehicles with non-affine dynamics via improved neural back-stepping design. ISA Trans2018; 75: 88–100.
8.
WuYMaFLiuX, et al. Super twisting disturbance observer-based fixed-time sliding mode backstepping control for air-breathing hypersonic vehicle. IEEE Access2020; 8: 17567–17583.
9.
YuMCaiYYuZ. Adaptive neural network disturbance observer based nonsingular fast terminal sliding mode control for a constrained flexible air-breathing hypersonic vehicle. Proc IMechE, Part G: J Aerosapce Engineering2019; 233: 2642–2662.
10.
MuCSunCXuW. Fast sliding mode control on air-breathing hypersonic vehicles with transient response analysis. Proc IMechE, Part I: J Systems and Control Engineering2016; 230: 23–34.
11.
SunJSongS. Tracking control of hypersonic vehicles with input saturation based on fast terminal sliding mode. Int J Aeronaut Space Sci2019; 20: 493–505.
12.
WangJZongQSuR, et al. Continuous high order sliding mode controller design for a flexible air-breathing hypersonic vehicle. ISA Trans2014; 53: 690–698.
13.
ChengZChenFNiuJ. Quasi-continuous high-order sliding mode control-based fault-tolerant control for hypersonic flight vehicle via neural network observer. Proc IMechE, Part G: J Aerosapce Engineering2019; 233: 1784–1800.
14.
ZhangYLiRXueT, et al. An analysis of the stability and chattering reduction of high-order sliding mode tracking control for a hypersonic vehicle. Inform Sci2016; 348: 25–48.
15.
YinXWangBLiuL, et al. Disturbance observer-based gain adaptation high-order sliding mode control of hypersonic vehicles. Aerosp Sci Technol2019; 89: 19–30.
16.
GuoCLiangXWangJ, et al. Mixed H2/H∞ decentralized fuzzy tracking control design for a flexible air-breathing hypersonic vehicle. Proc IMechE, Part I: J Systems and Control Engineering2015; 229: 388–405.
17.
ShaoXWangH. Active disturbance rejection based trajectory linearization control for hypersonic reentry vehicle with bounded uncertainties. ISA Trans2015; 54: 27–38.
18.
HanGZhouJGuoJ, et al. A longitudinal trajectory tracking method with L1 adaptive control for hypersonic reentry vehicles. Trans Inst Meas Control2020; 42: 386–403.
19.
BuXWuXZhuF, et al. Novel prescribed performance neural control of a flexible air-breathing hypersonic vehicle with unknown initial errors. ISA Trans2015; 59: 149–159.
20.
BuXWuXHuangJ, et al. Robust estimation-free prescribed performance back-stepping control of air-breathing hypersonic vehicles without affine models. Int J Control2016; 89: 2185–2200.
21.
PolyakovA. Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Autom Control2012; 57: 2106–2110.
22.
GuoJYangSGuoZ. Robust tracking for hypersonic vehicles subjected to mismatched uncertainties via fixed-time sliding mode control. Proc IMechE, Part G: J Aerosapce Engineering2021; 235: 2145–2153.
23.
DingYWangXBaiY, et al. Robust fixed-time sliding mode controller for flexible air-breathing hypersonic vehicle. ISA Trans2019; 90: 1–18.
24.
YuCJiangJWangS, et al. Fixed-time adaptive general type-2 fuzzy logic control for air-breathing hypersonic vehicle. Trans Inst Meas Control2021; 43: 2143–2158.
25.
LiPMaJZhengZ. Disturbance-observer-based fixed-time second-order sliding mode control of an air-breathing hypersonic vehicle with actuator faults. Proc IMechE, Part G: J Aerosapce Engineering2017; 232: 344–361.
26.
WangXGuoJTangS, et al. Fixed-time disturbance observer based fixed-time back-stepping control for an air-breathing hypersonic vehicle. ISA Trans2019; 88: 233–245.
27.
ChenCLiLPengH, et al. A new fixed-time stability theorem and its application to the fixed-time synchronization of neural networks. Neur Netw2020; 123: 412–419.
28.
XuBHuangXWangD, et al. Dynamic surface control of constrained hypersonic flight models with parameter estimation and actuator compensation. Asian J Control2014; 16: 162–174.
29.
BuXWuXTianM, et al. High-order tracking differentiator based adaptive neural control of a flexible air-breathing hypersonic vehicle subject to actuators constraints. ISA Trans2015; 58: 237–247.
30.
BuXWuXMaZ, et al. Novel auxiliary error compensation design for the adaptive neural control of a constrained flexible air-breathing hypersonic vehicle. Neurocomputing2016; 171: 313–324.
31.
BuXWuXHeG, et al. Novel adaptive neural control design for a constrained flexible air-breathing hypersonic vehicle based on actuator compensation. Act Astronaut2016; 120: 75–86.
32.
ChenMGeSSRenB. Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica2011; 47: 452–465.
33.
WangFZouQHuangC, et al. Disturbance observer–based dynamic surface control design for a hypersonic vehicle with input constraints and uncertainty. Proc IMechE, Part I: J Systems and Control Engineering2016; 230: 522–536.
34.
ZongQWangFTianB, et al. Robust adaptive approximate backstepping control of a flexible air-breathing hypersonic vehicle with input constraint and uncertainty. Proc IMechE, Part I: J Systems and Control Engineering2014; 228: 521–539.
35.
DingYWangXBaiY, et al. Novel anti-saturation robust controller for flexible air-breathing hypersonic vehicle with actuator constraints. ISA Trans2020; 99: 95–109.
36.
BuXWeiDHeG. A robust constrained control approach for flexible air-breathing hypersonic vehicles. Int J Robust Nonlin Control2020; 30: 2752–2776.
37.
BolenderMDomanD. Nonlinear longitudinal dynamical model of an airbreathing hypersonic vehicle. J Spacecr Rocket2007; 44: 374–387.
38.
XuHMirmiraniMDIoannouPA. Adaptive sliding mode control design for a hypersonic flight vehicle. J Guid Control Dyn2004; 27: 829–838.
39.
WangQStengelRF. Robust nonlinear control of a hypersonic aircraft. J Guid Control Dyn2000; 23: 577–585.
