On the absolute stability of nonlinear control systems
Sufficient conditions for the absolute stability of a class of nonlinear sampled-data systems are derived using the techniques of system transformations due to Aizerman and Gantmacher. These criteria are based on different forms used to approximate the area under the nonlinear characteristic. It is...
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
University of British Columbia
2011
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/2429/34867 |
| id |
ndltd-UBC-oai-circle.library.ubc.ca-2429-34867 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-UBC-oai-circle.library.ubc.ca-2429-348672018-01-05T17:47:43Z On the absolute stability of nonlinear control systems Chen, Cheng-Fu Nonlinear mechanics Stability Control theory Sufficient conditions for the absolute stability of a class of nonlinear sampled-data systems are derived using the techniques of system transformations due to Aizerman and Gantmacher. These criteria are based on different forms used to approximate the area under the nonlinear characteristic. It is also shown that the stability criterion can be improved by relaxing a restriction on the slope of nonlinear element. In multiple nonlinearily continuous systems, by the application of numerical techniques, it was shown that some improvement over previous stability bounds can be made. Applied Science, Faculty of Electrical and Computer Engineering, Department of Graduate 2011-05-25T22:59:05Z 2011-05-25T22:59:05Z 1970 Text Thesis/Dissertation http://hdl.handle.net/2429/34867 eng For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. University of British Columbia |
| collection |
NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Nonlinear mechanics Stability Control theory |
| spellingShingle |
Nonlinear mechanics Stability Control theory Chen, Cheng-Fu On the absolute stability of nonlinear control systems |
| description |
Sufficient conditions for the absolute stability of a class of nonlinear sampled-data systems are derived using the techniques of system transformations due to Aizerman and Gantmacher. These criteria are based on different forms used to approximate the area under the nonlinear characteristic. It is also shown that the stability criterion can be improved by relaxing a restriction on the slope of nonlinear element.
In multiple nonlinearily continuous systems, by the application of numerical techniques, it was shown that some improvement over previous stability bounds can be made. === Applied Science, Faculty of === Electrical and Computer Engineering, Department of === Graduate |
| author |
Chen, Cheng-Fu |
| author_facet |
Chen, Cheng-Fu |
| author_sort |
Chen, Cheng-Fu |
| title |
On the absolute stability of nonlinear control systems |
| title_short |
On the absolute stability of nonlinear control systems |
| title_full |
On the absolute stability of nonlinear control systems |
| title_fullStr |
On the absolute stability of nonlinear control systems |
| title_full_unstemmed |
On the absolute stability of nonlinear control systems |
| title_sort |
on the absolute stability of nonlinear control systems |
| publisher |
University of British Columbia |
| publishDate |
2011 |
| url |
http://hdl.handle.net/2429/34867 |
| work_keys_str_mv |
AT chenchengfu ontheabsolutestabilityofnonlinearcontrolsystems |
| _version_ |
1718595321199591424 |