Abstract
This paper investigates a global sampled-data output feedback stabilization problem for a class of switched stochastic nonlinear systems whose output and system mode are available only at the sampling instants. An observer is designed to estimate the unmeasurable state and thus a sampled-data controller is constructed with the sampled estimated state. As a distinctive feature, a merging virtual switching signal is introduced to describe the asynchronous switching generated by detecting the system mode via a sampler. By choosing an appropriate piecewise Lyapunov function, it is proved that the proposed sampled-data controller with allowable sampling period can stabilize the considered switched stochastic nonlinear systems under an average dwell-time condition. Finally, two simulation results are presented to illustrate the effectiveness of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 2844-2861 |
| Number of pages | 18 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 29 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2019 Jul 10 |
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Keywords
- average dwell-time method
- nonlinear systems
- sampled-data control
- stochastic systems
- switched systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Chemical Engineering(all)
- Biomedical Engineering
- Aerospace Engineering
- Mechanical Engineering
- Industrial and Manufacturing Engineering
- Electrical and Electronic Engineering
Cite this
Sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems. / Mao, Jun; Xiang, Zhengrong; Zhai, Guisheng.
In: International Journal of Robust and Nonlinear Control, Vol. 29, No. 10, 10.07.2019, p. 2844-2861.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems
AU - Mao, Jun
AU - Xiang, Zhengrong
AU - Zhai, Guisheng
PY - 2019/7/10
Y1 - 2019/7/10
N2 - This paper investigates a global sampled-data output feedback stabilization problem for a class of switched stochastic nonlinear systems whose output and system mode are available only at the sampling instants. An observer is designed to estimate the unmeasurable state and thus a sampled-data controller is constructed with the sampled estimated state. As a distinctive feature, a merging virtual switching signal is introduced to describe the asynchronous switching generated by detecting the system mode via a sampler. By choosing an appropriate piecewise Lyapunov function, it is proved that the proposed sampled-data controller with allowable sampling period can stabilize the considered switched stochastic nonlinear systems under an average dwell-time condition. Finally, two simulation results are presented to illustrate the effectiveness of the proposed method.
AB - This paper investigates a global sampled-data output feedback stabilization problem for a class of switched stochastic nonlinear systems whose output and system mode are available only at the sampling instants. An observer is designed to estimate the unmeasurable state and thus a sampled-data controller is constructed with the sampled estimated state. As a distinctive feature, a merging virtual switching signal is introduced to describe the asynchronous switching generated by detecting the system mode via a sampler. By choosing an appropriate piecewise Lyapunov function, it is proved that the proposed sampled-data controller with allowable sampling period can stabilize the considered switched stochastic nonlinear systems under an average dwell-time condition. Finally, two simulation results are presented to illustrate the effectiveness of the proposed method.
KW - average dwell-time method
KW - nonlinear systems
KW - sampled-data control
KW - stochastic systems
KW - switched systems
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U2 - 10.1002/rnc.4519
DO - 10.1002/rnc.4519
M3 - Article
VL - 29
SP - 2844
EP - 2861
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
SN - 1049-8923
IS - 10
ER -