Numerical computation of the optimal H∞ norms for the state feedback and the output feedback control problems is considered. In 1989, Doyle et al. derived, for a given parameter r > 0, necessary and sufficient conditions under which an admissible output feedback controller exists, as well as conditions for the existence of a state feedback controller. We explore numerical methods to find the infimum of parameter r that satisfies those conditions.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics