Abstract
In this paper, an efficient primal-dual interior method for solving biaffine matrix inequality problems is proposed. Some extensions of Newton's method is also proposed for nonconvex optimization problems. The proposed methods can be applied to synthesizing robust controllers, static output feedback controllers, mixed H2/H∞ controllers, mixed H2/H∞ PID controllers, etc. which can be obtained by solving biaffine or linear matrix inequality problems. An explicit algorithm is also provided using the matrices in control problems.
| Original language | English |
|---|---|
| Pages (from-to) | 1009-1014 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 1 |
| State | Published - 1999 |
| Event | The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: 7 Dec 1999 → 10 Dec 1999 |