The nonlinear stability of general systems under single-loop proportional integral (PI) control is examined. The analysis focuses on the positive feedback region of the gain space, which is important, for instance, when the system is open-loop unstable. By analyzing the normal form equation about a critical gain setting, the nonlinear stability and dynamics are classified for such systems. Criteria for global stability and sensitivity of system stability to set-point change and/or error are derived on the basis of the derivatives of the nonlinear gain curve. Some of the results are demonstrated experimentally.
|Number of pages||7|
|Journal||Proceedings of the American Control Conference|
|Publication status||Published - 1987 Dec 1|
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering