Abstract
In this paper, we consider the H∞ controller design problem for both continuous-time and discrete-time linear time-invariant (LTI) systems via low order dynamic output feedback controllers. The existence condition of desired H∞ controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix defining the controller and a Lya-punov matrix. To solve the BMI, we propose two sufficient conditions which result in linear matrix inequalities (LMIs), by using a block diagonal structure of an equivalent matrix of the Lyapunov matrix in the BMI.
| Original language | English |
|---|---|
| Title of host publication | European Control Conference, ECC 2003 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 3070-3075 |
| Number of pages | 6 |
| ISBN (Print) | 9783952417379 |
| Publication status | Published - 2003 Apr 13 |
| Externally published | Yes |
| Event | 2003 European Control Conference, ECC 2003 - Cambridge, United Kingdom Duration: 2003 Sept 1 → 2003 Sept 4 |
Other
| Other | 2003 European Control Conference, ECC 2003 |
|---|---|
| Country/Territory | United Kingdom |
| City | Cambridge |
| Period | 03/9/1 → 03/9/4 |
Keywords
- Bilinear matrix inequality (BMI)
- Dynamic output feedback
- Linear matrix inequality (LMI)
- Low order H controller
ASJC Scopus subject areas
- Control and Systems Engineering