Abstract | ||
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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 |
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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 Wu | 1 | 67 | 2.89 |
Shitong Wang | 2 | 1485 | 109.13 |
Mingyue Cui | 3 | 86 | 4.62 |