On the Game Riccati Equations Arising in $H_\infty$ Control Problems
SIAM Journal on Control and Optimization
Linear robust control
Robust and optimal control
Numerically Reliable Computation of Optimal Performance in Singular $H_{\inf}$ Control
SIAM Journal on Control and Optimization
Structured Condition Numbers for Invariant Subspaces
SIAM Journal on Matrix Analysis and Applications
Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
SIAM Journal on Matrix Analysis and Applications
The Modified Optimal $\mathcal{H}_\infty$ Control Problem for Descriptor Systems
SIAM Journal on Control and Optimization
Robust formulas for optimal H∞ controllers
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
We present a new numerical method (based on the computation of deflating subspaces) for the @c-iteration in H"~ control in the extended matrix pencil formulation. We introduce a permuted graph representation of these subspaces, which avoids the known difficulties that arise when the iteration is based on the solution of algebraic Riccati equations but at the same time makes use of the special symmetry structures that are present in the problems. We use this representation to perform both the deflation of spurious ~ eigenvalues of the even pencils and the implementation of the inverse-free sign iteration. We show that the new method returns accurate results and is applicable in many situations where conventional methods fail.