Learning‐based collision avoidance and robust H∞ optimal formation control for uncertain quadrotor UAV systems

• Published in: International journal of robust and nonlinear control Vol. 34; no. 4; pp. 2365 - 2383
• Main Authors: Li, Ning, Wang, Hongbin, Luo, Qianda, Zheng, Wei
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.03.2024
• Subjects: approximate dynamic programming; Closed loops; Collision avoidance; collision avoidance control; Control systems design; Controllers; Differential games; Dynamic programming; Feedback control; Game theory; H-infinity control; Learning; Neural networks; quadrotor UAVs; Robust control; robust H∞$$ {H}_{\infty } $$ control; Subsystems; Unmanned aerial vehicles; Unmanned helicopters; zero‐sum differential game
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.7086

This paper investigates the robust H∞$$ {H}_{\infty } $$ optimal formation control for the position subsystem of quadrotor unmanned aerial vehicles (UAVs) subject to external disturbances and collision constraints. To prevent collision with both members of the formation and external obstacles, a collision avoidance potential function is constructed using relative position and velocity information. The basic bounded control input can ensure the stable flight and collision avoidance of a quadrotor UAV system. Based on the approximate dynamic programming (ADP) framework and two‐player zero‐sum differential game theory, the H∞$$ {H}_{\infty } $$ optimal controller is designed to further enhance the control performance of the system. The optimal value function is approximated by a single layer neural network, which avoids solving complex nonlinear Hamilton‐JacobiIsaac (HJI) equation. The stability of the closed loop system is proved. The effectiveness of the robust H∞$$ {H}_{\infty } $$ optimal formation controller based on learning is validated through MATLAB simulation in two distinct scenarios.