Abstract
This article investigates a tube model predictive control scheme ensuring robustness and constraints fulfillment for hypersonic vehicles with bounded external disturbances. The polytopic linear parameter varying model is established using tensor-product modeling method, and tube-model predictive control controller is designed to satisfy all vertices of the polytopic linear parameter varying model. Firstly, the nominal model predictive control law is constructed for the nominal system without disturbances. Secondly, tube invariant set strategy is introduced for the unknown bounded disturbances, and the local robust feedback control law is presented to restrain disturbances. The proposed tube-model predictive control method not only steers the nominal state to track a reference trajectory but also keeps the real states within a tube centered with the nominal trajectory. Simulation results show the effectiveness of the proposed method for the hypersonic vehicle with bounded disturbances.
Highlights
Hypersonic vehicles have attracted more and more interests due to special application value in both military and civilian areas, such as horizontal landing space vehicle, hypersonic missile, hypersonic aircraft, and trans-aerosphere vehicle.1 Since hypersonic vehicles use scramjet,2 they have high speed and can carry more payload than other ordinary flight vehicles
Thereby in this article, the tube-model predictive control (MPC) strategy32,33 is introduced, and the controller based on polytopic linear parameter varying (LPV) model is designed for hypersonic vehicles with bounded external disturbances
A tube-MPC control approach is presented for polytopic LPV model (4) of the hypersonic vehicle
Summary
Hypersonic vehicles have attracted more and more interests due to special application value in both military and civilian areas, such as horizontal landing space vehicle, hypersonic missile, hypersonic aircraft, and trans-aerosphere vehicle. Since hypersonic vehicles use scramjet, they have high speed and can carry more payload than other ordinary flight vehicles. Thereby in this article, the tube-MPC strategy is introduced, and the controller based on polytopic LPV model is designed for hypersonic vehicles with bounded external disturbances. Given a feasible initial state x0ðkÞ, if there exist a symmetric positive matrix Q0 2 R7Â7, a matrix Y 0 2 R2Â7, and a scalar g > 0 suitable for all vertices of the nominal polytopic LPV model (6) and satisfy the following LMIs, the feedback control law u0 1⁄4 Fx0 could guarantee the stability of the nominal system. When external disturbance is large, this robust MPC method is very difficult to guarantee the predicted states enter into the invariant ellipsoid In this case, the reference value of altitude h is chosen as 85650 ft and switches to 85000 ft at 100 s. 8400 8300 8200 8100 8000 7900 7800 7700 7600 7500 7400 reference nominal Tube-MPC robust MPC[43]
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