Feedback Controller Norm Optimization for Linear Time Invariant Descriptor Systems With Pole Region Constraint
- Subashish Datta
- IEEE Trans. Automat. Contr.
The problem of robust D admissibility analysis and admissibilization is studied for uncertain descriptor linear systems. Two classes of uncertainties are considered in this paper, i.e., the norm bounded uncertainty and the polytopic uncertainty. With the introduction of some free matrices, a new necessary and sufficient condition for the considered descriptor linear system to be D admissible is presented, based on which, sufficient conditions for uncertain descriptor linear systems to be robustly D admissible are proposed. The state feedback control problems are also addressed and explicit expressions of the desired state feedback controller are given in terms of strict linear matrix inequalities (LMIs), which are easily checked. Numerical examples illustrate the efficiency of the obtained approach.