Title
Tracking controller design for random nonlinear benchmark system.
Abstract
This paper considers a benchmark system consisting of a rolling ball and a moving car in the oscillating surroundings. By using the Lagrange law, the dynamic model without disturbance is first constructed, then according to the relative motion principle, random oscillation of surroundings is transformed into the random noises in the constructed Lagrange equation. The special structure of the quasi-lower triangle of Lagrange equation motivates us to pay more attention to the vectorial backstepping technique. By selecting an appropriate Lyapunov-like function, a tracking controller with tunable parameters is designed such that all signals of the closed-loop system are bounded and track error can be made arbitrarily small.
Year
DOI
Venue
2017
10.1016/j.jfranklin.2016.10.015
Journal of the Franklin Institute
Field
DocType
Volume
Backstepping,Control theory,Mathematical optimization,Oscillation,Nonlinear system,Controller design,Control theory,Relative motion,Mathematics,Bounded function
Journal
354
Issue
ISSN
Citations 
1
0016-0032
0
PageRank 
References 
Authors
0.34
6
3
Name
Order
Citations
PageRank
Zhao Jing Wu1672.89
Shitong Wang21485109.13
Mingyue Cui3864.62