Adaptive Backstepping Control of Nonlinear Uncertain Systems With Quantized States
This paper investigates the stabilization problem for uncertain nonlinear systems with quantized states. All states in the system are quantized by a static bounded quantizer, including uniform quantizer, hysteresis-uniform quantizer, and logarithmic-uniform quantizer as examples. An adaptive backste...
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| Published in | IEEE transactions on automatic control Vol. 64; no. 11; pp. 4756 - 4763 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.11.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-9286 1558-2523 |
| DOI | 10.1109/TAC.2019.2906931 |
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| Abstract | This paper investigates the stabilization problem for uncertain nonlinear systems with quantized states. All states in the system are quantized by a static bounded quantizer, including uniform quantizer, hysteresis-uniform quantizer, and logarithmic-uniform quantizer as examples. An adaptive backstepping-based control algorithm, which can handle discontinuity, resulted from the state quantization and a new approach to stability analysis are developed by constructing a new compensation scheme for the effects of the state quantization. Besides showing the global ultimate boundedness of the system, the stabilization error performance is also established and can be improved by appropriately adjusting design parameters. Simulation results illustrate the effectiveness of our proposed scheme. |
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| AbstractList | This paper investigates the stabilization problem for uncertain nonlinear systems with quantized states. All states in the system are quantized by a static bounded quantizer, including uniform quantizer, hysteresis-uniform quantizer, and logarithmic-uniform quantizer as examples. An adaptive backstepping-based control algorithm, which can handle discontinuity, resulted from the state quantization and a new approach to stability analysis are developed by constructing a new compensation scheme for the effects of the state quantization. Besides showing the global ultimate boundedness of the system, the stabilization error performance is also established and can be improved by appropriately adjusting design parameters. Simulation results illustrate the effectiveness of our proposed scheme. |
| Author | Wen, Changyun Wang, Wei Zhou, Jing Yang, Fan |
| Author_xml | – sequence: 1 givenname: Jing orcidid: 0000-0003-1676-5991 surname: Zhou fullname: Zhou, Jing email: jing.zhou@uia.no organization: Department of Engineering Sciences, University of Agder, Grimstad, Norway – sequence: 2 givenname: Changyun orcidid: 0000-0001-9530-360X surname: Wen fullname: Wen, Changyun email: ecywen@ntu.edu.sg organization: School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore – sequence: 3 givenname: Wei orcidid: 0000-0001-9596-2752 surname: Wang fullname: Wang, Wei email: w.wang@buaa.edu.cn organization: Beijing Advanced Innovation Center for Big Data and Brain Computing – sequence: 4 givenname: Fan orcidid: 0000-0002-9989-511X surname: Yang fullname: Yang, Fan email: yangf@hqu.edu.cn organization: College of Mechanical Engineering and Automation, Huaqiao University, Xiamen, China |
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| SubjectTerms | Adaptive algorithms Adaptive control Backstepping bounded quantizer Computer simulation Control algorithms Control theory Design parameters Hysteresis Measurement Nonlinear control Nonlinear systems Quantization (signal) Stability analysis state quantization Uncertain systems |
| Title | Adaptive Backstepping Control of Nonlinear Uncertain Systems With Quantized States |
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