Abstract

This article provides a nonlinear controller for waveriders with input saturation to improve transient performances. First, the exact linearization is applied to change an affine nonlinear model to a linear time-invariant model for waveriders. Then, the linear and nonlinear feedback control law is applied for the obtained linearized model for waveriders, and system stability of the presented control law is proved accordingly. Furthermore, the system robustness and improving transient performances are discussed for waveriders. Finally, an example is given for a longitudinal model of the waverider, and the results demonstrate that the closed-loop systems can track the anticipated commands, while guaranteeing the expected integrated performances for waveriders.

Highlights

  • The control design in the nonlinear system for waveriders provides a very challenging work associated with the integrated performance, including input saturation, strong coupling, and considerable uncertainty.[1]

  • The nonlinear inversion is a useful tool in the flight control design depending on converting an affine nonlinear system into a linear time-invariant system for waveriders.[2]

  • A reference command tracking controller was proposed in the study of Gao and Wang[4] for an air-breathing waverider with parametric uncertainties, and the feedback linearization method based on the H-infinity method was used to address input constraints and to achieve desired tracking performance

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Summary

Introduction

The control design in the nonlinear system for waveriders provides a very challenging work associated with the integrated performance, including input saturation, strong coupling, and considerable uncertainty.[1]. A robust control problem was presented in the study of Chen et al.[5] for a control-oriented uncertainty model derived from the feedback linearization approach, and this designed controller was integrated with a high-order sliding mode observer to track the responses of the vehicle to a step change in velocity and altitude with partial state measurements. It is difficult for the nonlinear inversion-based flight control of waveriders to simultaneously guarantee strong robustness as well as satisfactory transient performance.

Modeling for waveriders
Nonlinear control for waveriders
We choose a Lyapunov function below
Performance analysis for adaptive inversion control
Illustrative example
Our control
Findings
Conclusion
Full Text
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