Abstract
In this paper, a new nonlinear programming approach is suggested to solve biaffine matrix inequality (BMI) problems in multiobjective and structured controls. It is shown that these BMI problems are reduced to nonlinear minimization problems. An algorithm that is easily implemented with existing convex optimization codes is presented for the nonlinear minimization problem. The efficiency of the proposed algorithm is illustrated by numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 271-281 |
| Number of pages | 11 |
| Journal | International Journal of Control, Automation and Systems |
| Volume | 1 |
| Issue number | 3 |
| State | Published - Sep 2003 |
Keywords
- Biaffine matrix inequality
- Multiobjective control
- Nonlinear programming
- Structured control