Abstract:This paper provides a solution for the trajectory tracking control of a hypersonic flight vehicle (HFV), which is encountered performance constraints, actuator faults, external disturbances, and system uncertainties. For the altitude and velocity control subsystems, the backstepping-based dynamic surface control (DSC) strategy is constructed to guarantee the predefined constraint of tracking errors. The introduction of first-order low-pass filters effectively remedies the problem of “complexity explosion” exis… Show more
“…When the control input exits saturation, δ ed ∈ ½ δ min , δ max , notice that lim ω δ ⟶∞ χ δ1 = δ ed , and δ e = H δ ðχ δ1 Þ, so in equation ( 67), there is ðδ e − δ ed Þ ∈ l ∞ . When the auxiliary variable satisfies jξ q j ≥ jðδ e − δ ed Þ/k qξ2 j, equation (67) can 8 International Journal of Aerospace Engineering be simplified to _ W ξ ≤ −k qξ1 ξ 2 q obviously. Therefore, ξ q is bounded and e q is bounded.…”
Section: Stability Analysismentioning
confidence: 99%
“…At present, the commonly used idea is to design controllers for the inputoutput subsystem based on output redefinition method [3,4]. An alternative method which is available for dealing with the controller design problem of such a strong nonlinear system as HFV is backstepping approach [5][6][7][8][9][10][11]. The backstepping method is applied firstly to the attitude control of HFV in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…The problem of "differential explosion" occurs easily in the design of the backstepping controller due to the high order of the altitude subsystem of HFV. To solve the problem, the command filter [6], dynamic surface control [8,9], tracking differentiator [10,11], and other technologies are widely used in the backstepping control method. To deal with uncertainties as well as external disturbance of HFV, disturbance observers [12,13] and intelligent approximations [14][15][16] are widely used in controller design.…”
An antisaturation backstepping control scheme based on constrained command filter for hypersonic flight vehicle (HFV) is proposed with the consideration of angle of attack (AOA) constraint and actuator constraints of amplitude and rate. Firstly, the HFV system model is divided into velocity subsystem and height subsystem. Secondly, to handle AOA constraint, a constrained command filter is constructed to limit the amplitude of the AOA command and retain its differentiability. And the constraint range is set in advance via a prescribed performance method to guarantee that the tracking error of the AOA meets the constraint conditions and transient and steady performance. Thirdly, the proposed constrained command filter is combined with the auxiliary system for actuator constraints, which ensures that the control input meets the limited requirements of amplitude and rate, and the system is stable. In addition, the tracking errors of the system are proved to be ultimately uniformly bounded based on the Lyapunov stability theory. Finally, the effectiveness of the proposed method is verified by simulation.
“…When the control input exits saturation, δ ed ∈ ½ δ min , δ max , notice that lim ω δ ⟶∞ χ δ1 = δ ed , and δ e = H δ ðχ δ1 Þ, so in equation ( 67), there is ðδ e − δ ed Þ ∈ l ∞ . When the auxiliary variable satisfies jξ q j ≥ jðδ e − δ ed Þ/k qξ2 j, equation (67) can 8 International Journal of Aerospace Engineering be simplified to _ W ξ ≤ −k qξ1 ξ 2 q obviously. Therefore, ξ q is bounded and e q is bounded.…”
Section: Stability Analysismentioning
confidence: 99%
“…At present, the commonly used idea is to design controllers for the inputoutput subsystem based on output redefinition method [3,4]. An alternative method which is available for dealing with the controller design problem of such a strong nonlinear system as HFV is backstepping approach [5][6][7][8][9][10][11]. The backstepping method is applied firstly to the attitude control of HFV in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…The problem of "differential explosion" occurs easily in the design of the backstepping controller due to the high order of the altitude subsystem of HFV. To solve the problem, the command filter [6], dynamic surface control [8,9], tracking differentiator [10,11], and other technologies are widely used in the backstepping control method. To deal with uncertainties as well as external disturbance of HFV, disturbance observers [12,13] and intelligent approximations [14][15][16] are widely used in controller design.…”
An antisaturation backstepping control scheme based on constrained command filter for hypersonic flight vehicle (HFV) is proposed with the consideration of angle of attack (AOA) constraint and actuator constraints of amplitude and rate. Firstly, the HFV system model is divided into velocity subsystem and height subsystem. Secondly, to handle AOA constraint, a constrained command filter is constructed to limit the amplitude of the AOA command and retain its differentiability. And the constraint range is set in advance via a prescribed performance method to guarantee that the tracking error of the AOA meets the constraint conditions and transient and steady performance. Thirdly, the proposed constrained command filter is combined with the auxiliary system for actuator constraints, which ensures that the control input meets the limited requirements of amplitude and rate, and the system is stable. In addition, the tracking errors of the system are proved to be ultimately uniformly bounded based on the Lyapunov stability theory. Finally, the effectiveness of the proposed method is verified by simulation.
“…Hypersonic vehicles (HSVs) attract worldwide attention caused by potential military and civil applications (Duan and Pei, 2012;Xu and Shi, 2015). As one of the core technologies of HSVs, flight control technology faces enormous challenges including the flexible effect (Chen et al, 2020;Sun et al, 2023;Xu et al, 2023), angle of attack constraint (Dong et al, 2023;Xu et al, 2023;Yang et al, 2021) and nonminimum phase (Xu et al, 2021). For airbreathing HSVs (e.g.…”
Purpose
This paper aims to propose and verify an improved cascade active disturbance rejection control (ADRC) scheme based on output redefinition for hypersonic vehicles (HSVs) with nonminimum phase characteristic and model uncertainties.
Design/methodology/approach
To handle the nonminimum phase characteristic, a tuning factor stabilizing internal dynamics is introduced to redefine the system output states; its effective range is determined by analyzing Byrnes–Isidori normalized form of the redefined system. The extended state observers (ESOs) are used to estimate the uncertainties, which include matched and mismatched items in the system. The controller compensates observations in real time and appends integral terms to improve robustness against the estimation errors of ESOs.
Findings
Theoretical and simulation results show that the stability of internal dynamics is guaranteed by the tuning factor and the tracking errors of external commands are globally asymptotically stable.
Practical implications
The control scheme in this paper is expected to generate a reliable way for dealing with nonminimum phase characteristic and model uncertainties of HSVs.
Originality/value
In the framework of ADRC, a concise form of redefined outputs is proposed, in which the tuning factor performs a decisive role in stabilizing the internal dynamics of HSVs. By introducing an integral term into the cascade ADRC scheme, the compensation accuracy of matched and mismatched disturbances is improved.
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