This paper develops a new method for the synthesis of robust reduced-order dynamic output feedback controllers for linear time-invariant systems. H2 and H∞ performance criteria are considered. The method is applicable for both discrete-time and continuous-time systems. The proposed method is based on recently developed extended or dilated linear matrix inequalities (LMIs). A new structure of the slack matrix variables is introduced to obtain an LMI relaxation for the non-convex robust reduced-order controller design problem. The uncertain time-invariant parameters belong to a polytopic domain and affect all the system matrices. Numerical examples demonstrate the effectiveness of the proposed approach.
|Number of pages||21|
|Journal||IMA Journal of Mathematical Control and Information|
|Publication status||Published - Jun 2017|
- dilated linear matrix inequality
- H and H∞ control
- polytopic system
- reduced-order controller