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Robust Stabilization of Discrete-Time Multi-Model Systems Using Piecewise Affine State-Feedback
| Content Provider | Semantic Scholar |
|---|---|
| Author | Slupphaug, Olav Foss, Bjarne A. |
| Copyright Year | 1998 |
| Abstract | Abstract In this paper we develop a BMI based method for nonlinear robust stabilization. Robustness against model uncertainty is handled. The development is based on an uncertain multi-model representation of the plant, and an associated piecewise affine state-feedback structure. Assuming a quadratic Liapunov function, a BMI condition for robust (quadratic) stabilization is found. Control constraints are formulated as BMIs or LMIs. A branch-and-bound algorithm is used for solving the BMI problem, that is, finding the unknown quadratic Liapunov function and the piecewise affine state-feedback. Finally, an example is given. |
| Starting Page | 47 |
| Ending Page | 52 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/S1474-6670(17)44905-6 |
| Alternate Webpage(s) | http://www.itk.ntnu.no/ansatte/Foss_Bjarne/pubs/conference/conf-47.pdf |
| Alternate Webpage(s) | http://www.itk.ntnu.no/ansatte/Foss_Bjarne/pubs/journals/journal-22.pdf |
| Alternate Webpage(s) | http://www.itk.ntnu.no/ansatte/Slupphaug_Olav/papers/paperDYCOPS-V.ps |
| Alternate Webpage(s) | https://doi.org/10.1016/S1474-6670%2817%2944905-6 |
| Volume Number | 31 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |