학술논문

Receding Horizon Extended Linear Quadratic Regulator for RFS-Based Swarms With Target Planning and Automatic Cost Function Scaling
Document Type
Periodical
Source
IEEE Transactions on Control of Network Systems IEEE Trans. Control Netw. Syst. Control of Network Systems, IEEE Transactions on. 8(2):566-575 Jun, 2021
Subject
Communication, Networking and Broadcast Technologies
Robotics and Control Systems
Signal Processing and Analysis
Components, Circuits, Devices and Systems
Computing and Processing
Cost function
Radio frequency
Convergence
Regulators
Observers
Trajectory
Planning
Extended linear-quadratic regulator (ELQR)
Gaussian mixture-probability hypothesis density (GM-PHD)
random finite set (RFS)
swarms
target planning
Language
ISSN
2325-5870
2372-2533
Abstract
A cost function is constructed for the random finite-set-based swarm guidance problem mechanized by Gaussian mixtures. This cost function uses an automated problem-dependent scaling and introduces an activator function for quadratic convergence of far off Gaussians. The cost function also depends on a target planner to transform user-defined waypoints into “way-areas” by calculating a covariance matrix. These covariances are based upon the given distribution of the target/reference geometry. Then an extended linear-quadratic regulator (LQR) is defined for the swarm problem as an improvement to the iterative LQR (ILQR). The algorithm is tested in a software simulation, and it is found to have easier tuning than ILQR and generates smooth trajectories toward the targets.