Title
Mapping filtered forwarding-based trajectory tracking control
Abstract
Forwading-based immersion and invariance approaches have been applied to control the high-order nonlinear systems, whereas it is an off-line algorithm and needs to directly compute analytic derivatives of the mappings. In our study, a new tracking control algorithm is developed by introducing a second-order filter at each step of the design. This recursive algorithm does not only overcome the problem of “explosion of complexity” to improve computational efficiency, but also suppresses the high-frequency noise arising from time derivatives of states and virtual controls. Unlike other existing control methodologies, it does not require the knowledge of a Lyapunov function in principle. The boundedness of all mappings and their analytic derivatives can be ultimately guaranteed by using the internal stability of filters. Also, this bottom-up algorithm is able to provide the modularized design of the controller, where real-time applications can be to some extent realized. In this work, a quadrotor helicopter is used to demonstrate the controller performances via various simulations.
Year
DOI
Venue
2015
10.1016/j.jfranklin.2015.10.004
Journal of the Franklin Institute
Field
DocType
Volume
Lyapunov function,Control algorithm,Mathematical optimization,Control theory,Recursion (computer science),Nonlinear system,Invariant (physics),Control theory,Mathematics,Trajectory
Journal
352
Issue
ISSN
Citations 
12
0016-0032
1
PageRank 
References 
Authors
0.36
23
3
Name
Order
Citations
PageRank
X. Zhang119043.25
Xianlin Huang27714.77
Hongqian Lu3177.21