Abstract
In this note, sufficient LMI conditions for the H∞ output feedback control design of linear discrete-time systems are proposed. In order to reduce conservatism existing in earlier sufficient LMI methods, auxiliary slack variables with structure are employed. It is shown that the slack variables employed in this note provide additional flexibility in solving the H∞ output feedback control problem. Consequently, the proposed method can yield a less conservative result than that of earlier LMI methods. In particular, typical output feedback control problems, such as decentralized H∞ output feedback control and simultaneous H∞ output feedback control, can be more efficiently solved. Numerical examples are included to illustrate the advantages of the proposed LMI method.
| Original language | English |
|---|---|
| Article number | WeA10.6 |
| Pages (from-to) | 1742-1747 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 2 |
| State | Published - 2004 |
| Event | 2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: 14 Dec 2004 → 17 Dec 2004 |