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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Chingyei Chung Shou-Yen Chao Lu, M.F. Lee, S.C. |
| Copyright Year | 2011 |
| Description | Author affiliation: Department of Electronic Engineering, Ming Hsin University of Science and Technology, Taiwan R.O.C. (Chingyei Chung; Shou-Yen Chao; Lu, M.F.; Lee, S.C.) |
| Abstract | This paper explores the robust limit cycle design for a nonlinear Lur'e problem. Considering the uncertainty for the plant transfer function, the period and amplitude of the limit cycle will change. By describing function method, the nonlinear system can be linearized. Then, the overall system can be treated as a linear system. With Barkhausen criterion, a Barkhausen characteristic polynomial is proposed in this paper. It can be found that for Barkhausen characteristic equation, as the closed-loop poles are clustered, the system is extremely sensitive to parameter's change. A formula for the design of a robust limit cycle is shown in this paper. Also, a formula to determine the limit cycle is locally stable and unstable is also presented. Simulation example will show above-mentioned results. |
| Starting Page | 541 |
| Ending Page | 546 |
| File Size | 1137683 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781612844879 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-05-15 |
| Publisher Place | Taiwan |
| Access Restriction | Subscribed |
| Rights Holder | Asian Control Association |
| Subject Keyword | Sensitivity Pole Placement Method Limit-cycles Transfer functions Barkhausen characteristic polynomial Describing Function Method Robustness Polynomials Nonlinear systems Lur'e Problem |
| Content Type | Text |
| Resource Type | Article |
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