Abstract | ||
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This paper presents an adaptive gain algorithm for second-order sliding-mode control (2-SMC), specifically a super-twisting (STW)-like controller, with uniform finite/fixed convergence time, that is robust to perturbations with unknown bounds. It is shown that a second-order sliding mode is established as exact finite-time convergence to the origin if the adaptive gain does not have the ability to get reduced and converge to a small vicinity of the origin if the adaptation algorithm does not overestimate the control gain. The estimate of fixed convergence time of the studied adaptive STW-like controller is derived based on the Lyapunov analysis. The efficacy of the proposed adaptive algorithm is illustrated in a tutorial example, where the adaptive STW-like controller with uniform finite/fixed convergence time is compared to the adaptive STW controller with non-uniform finite convergence time. |
Year | DOI | Venue |
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2016 | 10.1080/00207179.2016.1184759 | INTERNATIONAL JOURNAL OF CONTROL |
Keywords | Field | DocType |
Adaptive control, sliding-mode control, fixed-time convergence | Convergence (routing),Fixed time,Lyapunov function,Control theory,Mathematical optimization,Control theory,Adaptive algorithm,Adaptive control,Mathematics,Perturbation (astronomy),Sliding mode control | Journal |
Volume | Issue | ISSN |
89 | 9 | 0020-7179 |
Citations | PageRank | References |
5 | 0.42 | 9 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Michael V. Basin | 1 | 761 | 57.75 |
Chandrasekhara B. Panathula | 2 | 21 | 2.93 |
Yuri B. Shtessel | 3 | 369 | 51.65 |