Abstract

Abstract In this paper, a nonlinear H∞ state feedback control is designed for both orientation and altitude of a flying robot system in the presence of external disturbance. An analytical solution is proposed for Hamilton-Jacobi-Isaac (HJI) equation. According to the quadrotor's orientation and altitude, a suitable storage function is considered and the appropriate robust control law is derived. The controller coefficients are tuned from Hamilton-Isaac-Jacobi inequality. The closed-loop nonlinear system with the proposed controller has L2-gain less than or equal to γ, and guarantee its asymptotic stability closed-loop nonlinear system with external disturbance. Simulations are provided with the model uncertainties and external disturbance to verify the robustness of the proposed controller. Simulation results confirm the effectiveness of the desired robust controller.

Highlights

  • Flying robots have been become more and more important in the last few years

  • Nonlinear H∞ scheme provides a method for driving robust controllers for nonlinear dynamics with external disturbances and parametric uncertainties

  • 3.2 Controller design The nonlinear H∞ control tries to keep both orientation and altitude of the quadrotor aligned with the reference frame involving external disturbance and parametric uncertainty

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Summary

INTRODUCTION

Flying robots have been become more and more important in the last few years. These kinds of robots are used in a variety of scopes, namely, film making, rescue mission, and crop spraying. Quadrotors have the ability of vertical landing and take-off and they are capable of hovering in the fixed location, which make them more efficient and safer to the fixed –wing aircrafts in usages (Min et al, 2009) These kinds of flying robots are underactuated nonlinear systems and they are affected by external disturbances and parametric uncertainties. A composite nonlinear robust controller scheme, variable structure control and backstepping approach has been developed for the position and yaw angle of a quadrotor (Chen et al, 2016). A nonlinear H∞ control scheme has been developed in the sense of L2 – gain for both orientation and altitude stabilizing of a flying robot.

MATHEMATICAL MODELING
THE PROPOSED CONTROL STRUCTURE FOR THE FLYING ROBOT
SIMULATION RESULTS
CONCLUSIONS
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