Abstract
This paper focuses on the problem of finite-time stabilization for a class of high-order nonlinear systems with output constraint and zero dynamics. The systems under investigation possess two remarkable features: the output is restricted in a pre-specified region arising from the demand of practical operation, and inherent nonlinearities include nonlinear growth rate of high-order and low-order together with unmeasurable dynamic uncertainties. This paper proposes a continuous controller by means of a new tangent function and a serial of nonnegative integral functions with sign functions, and the controller ensures the adjustability of convergent speed of system state, which is faster than the counterpart of traditional finite-time stabilizers. The novelty is attributed to a perspective to applying the fast finite-time stability in partial state feedback control design in the case when the output is restricted. Finally, a numerical example is presented to demonstrate the effectiveness of the theoretical result.
| Original language | English |
|---|---|
| Journal | Journal of the Franklin Institute |
| DOIs | |
| Publication status | Published - 2019 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Signal Processing
- Computer Networks and Communications
- Applied Mathematics
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Fast finite-time partial state feedback stabilization of high-order nonlinear systems with output constraint and dynamic uncertainties. / Sun, Zong Yao; Zhou, Cheng Qian; Chen, Chih Chiang; Meng, Qinghua.
In: Journal of the Franklin Institute, 01.01.2019.Research output: Contribution to journal › Article
TY - JOUR
T1 - Fast finite-time partial state feedback stabilization of high-order nonlinear systems with output constraint and dynamic uncertainties
AU - Sun, Zong Yao
AU - Zhou, Cheng Qian
AU - Chen, Chih Chiang
AU - Meng, Qinghua
PY - 2019/1/1
Y1 - 2019/1/1
N2 - This paper focuses on the problem of finite-time stabilization for a class of high-order nonlinear systems with output constraint and zero dynamics. The systems under investigation possess two remarkable features: the output is restricted in a pre-specified region arising from the demand of practical operation, and inherent nonlinearities include nonlinear growth rate of high-order and low-order together with unmeasurable dynamic uncertainties. This paper proposes a continuous controller by means of a new tangent function and a serial of nonnegative integral functions with sign functions, and the controller ensures the adjustability of convergent speed of system state, which is faster than the counterpart of traditional finite-time stabilizers. The novelty is attributed to a perspective to applying the fast finite-time stability in partial state feedback control design in the case when the output is restricted. Finally, a numerical example is presented to demonstrate the effectiveness of the theoretical result.
AB - This paper focuses on the problem of finite-time stabilization for a class of high-order nonlinear systems with output constraint and zero dynamics. The systems under investigation possess two remarkable features: the output is restricted in a pre-specified region arising from the demand of practical operation, and inherent nonlinearities include nonlinear growth rate of high-order and low-order together with unmeasurable dynamic uncertainties. This paper proposes a continuous controller by means of a new tangent function and a serial of nonnegative integral functions with sign functions, and the controller ensures the adjustability of convergent speed of system state, which is faster than the counterpart of traditional finite-time stabilizers. The novelty is attributed to a perspective to applying the fast finite-time stability in partial state feedback control design in the case when the output is restricted. Finally, a numerical example is presented to demonstrate the effectiveness of the theoretical result.
UR - http://www.scopus.com/inward/record.url?scp=85068141574&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85068141574&partnerID=8YFLogxK
U2 - 10.1016/j.jfranklin.2019.05.029
DO - 10.1016/j.jfranklin.2019.05.029
M3 - Article
AN - SCOPUS:85068141574
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
SN - 0016-0032
ER -