Abstract
The combined sensitivity and gain margin problem for single-input, single-output linear systems is formulated and solved using a complex function interpolation technique. It is proved that this problem always has a real rational solution provided it is solvable in the complex irrational sense. The sensitivity minimization problem subject to a gain margin constraint and its dual problem are also considered. In addition, the range of the gain margin constraint subject to which the optimal constrained sensitivity is identical to the optimal unconstrained sensitivity is given. It is shown that gain margin maximization conflicts with sensitivity minimization for a non-minimum-phase plant.
| Original language | English |
|---|---|
| Pages (from-to) | 1697-1702 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 2 |
| Publication status | Published - 1989 |
| Event | Proceedings of the 28th IEEE Conference on Decision and Control. Part 2 (of 3) - Tampa, FL, USA Duration: 13 Dec 1989 → 15 Dec 1989 |