Robust model predictive control for hypersonic vehicle with state‐dependent input constraints and parameter uncertainty

Abstract

In this article, a robust model predictive control strategy based on sum-of-squares (SOS-RMPC) is proposed for hypersonic vehicle with state-dependent input constraints and uncertain parameters. Based on feedback linearization model of hypersonic vehicle, the polytopic linear parameter varying error model with bounded disturbance is established for reference trajectory tracking. The real limits of the actual control inputs are transformed into the constraints of the virtual inputs equivalently with the state-dependent nonlinear functions. Further, the multivariate linear fitting is used to approximate the state-dependent input constraints into polynomials. A weighted composite virtual control is formulated as the combination of unconstrained control and auxiliary control. SOS technique is introduced to cast the polynomial constraints into the convex matrix SOS conditions via linear matrix inequality. The virtual control law can be obtained by solving a SOS-RMPC convex optimization with infinite horizon. The invariant set is designed for the undisturbed error states and the norm-bounding theory is applied to ensure that the predictive error states with disturbance can remain in the same invariant set. The real control law is obtained by inverse control. The simulation verifies the performance of the designed controller.

Robust approximate optimal control for air‐breathing hypersonic vehicle

“…Hypersonic flight has large flight envelope and strong penetration ability, which is intended to be a reliable and cost-effective technology for access to space. 1 However, the integrated airframe and advanced aerodynamic shape cause highly nonlinear characteristics and strong coupling between propulsive and aerodynamic forces. 2 Also, there exists various model uncertainties and external environmental disturbances resulting from wind effects and some unpredictable conditions.…”

Nonlinear Predictive Control with Sliding Mode for Hypersonic Vehicle

“…Many papers have been devoted to solving nonlinear control problems for hypersonic velocities, and many new controllers have been designed based on fault-tolerant control [5], robust control [6], adaptive control [7], predictive control [8], sliding mode control [9], and other control methods. The dynamic inverse controller is designed to actively compensate elastic disturbance and solve the system uncertainty problem [1,4].…”

“…The sliding mode controller based on power function is used to suppress its chattering effect, and the influence of disturbance on speed and height is suppressed through direct feedback [14]. [8,15] have studied predictive control. The predictive control method has low requirements, good dynamic control performance, and online rolling optimization calculation, which can better compensate the uncertainty caused by model mismatch, distortion, and disturbance.…”