Abstract
This paper considers the problem of state feedback finite-time stabilization for a class of high-order nonlinear systems with an output constraint. By proposing a novel tan-type barrier Lyapunov function combined with manipulating sign functions, the technique of adding a power integrator is skillfully revamped to develop a systematic approach that guides us to construct a state feedback finite-time stabilizer for high-order nonlinear systems while preventing the violation of a prespecified output constraint during operation. The proposed approach is a unified tool in the sense that it can provide a finite-time stabilizer design even when the constraint is infinite, or equivalently, there is no need for a constraint. A simple example is presented to demonstrate the effectiveness of the proposed strategy.
| Original language | English |
|---|---|
| Pages (from-to) | 393-407 |
| Number of pages | 15 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 29 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2019 Jan 25 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Chemical Engineering(all)
- Biomedical Engineering
- Aerospace Engineering
- Mechanical Engineering
- Industrial and Manufacturing Engineering
- Electrical and Electronic Engineering
Cite this
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A unified approach to finite-time stabilization of high-order nonlinear systems with and without an output constraint. / Chen, Chih-Chiang.
In: International Journal of Robust and Nonlinear Control, Vol. 29, No. 2, 25.01.2019, p. 393-407.Research output: Contribution to journal › Article
TY - JOUR
T1 - A unified approach to finite-time stabilization of high-order nonlinear systems with and without an output constraint
AU - Chen, Chih-Chiang
PY - 2019/1/25
Y1 - 2019/1/25
N2 - This paper considers the problem of state feedback finite-time stabilization for a class of high-order nonlinear systems with an output constraint. By proposing a novel tan-type barrier Lyapunov function combined with manipulating sign functions, the technique of adding a power integrator is skillfully revamped to develop a systematic approach that guides us to construct a state feedback finite-time stabilizer for high-order nonlinear systems while preventing the violation of a prespecified output constraint during operation. The proposed approach is a unified tool in the sense that it can provide a finite-time stabilizer design even when the constraint is infinite, or equivalently, there is no need for a constraint. A simple example is presented to demonstrate the effectiveness of the proposed strategy.
AB - This paper considers the problem of state feedback finite-time stabilization for a class of high-order nonlinear systems with an output constraint. By proposing a novel tan-type barrier Lyapunov function combined with manipulating sign functions, the technique of adding a power integrator is skillfully revamped to develop a systematic approach that guides us to construct a state feedback finite-time stabilizer for high-order nonlinear systems while preventing the violation of a prespecified output constraint during operation. The proposed approach is a unified tool in the sense that it can provide a finite-time stabilizer design even when the constraint is infinite, or equivalently, there is no need for a constraint. A simple example is presented to demonstrate the effectiveness of the proposed strategy.
UR - http://www.scopus.com/inward/record.url?scp=85055590163&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85055590163&partnerID=8YFLogxK
U2 - 10.1002/rnc.4393
DO - 10.1002/rnc.4393
M3 - Article
AN - SCOPUS:85055590163
VL - 29
SP - 393
EP - 407
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
SN - 1049-8923
IS - 2
ER -