Abstract
In this paper, some nonlinear minimization problems are proposed for obtaining a solution of the biaffine matrix inequality (BMI) problem. An algorithm is also proposed for solving the nonlinear minimization problems. The algorithm can be easily implemented with the existing convex optimization codes. This nonlinear programming approach can be applied to all multi-objective and structured control problems such as the simultaneous stabilization by static or dynamic output feedback, the mixed H2/H∞ control, and the decentralized control which can be reduced to BMI problems. The effectiveness is illustrated by numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 1817-1821 |
| Number of pages | 5 |
| Journal | Proceedings of the American Control Conference |
| Volume | 3 |
| State | Published - 1999 |
| Event | Proceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA Duration: 2 Jun 1999 → 4 Jun 1999 |