A parametrization of stabilizing feedbacks using dissipative Hamiltonian matrices enables SDP computation of minimal-norm static feedbacks for LTI systems, with extension to the SOF problem.
Optimal robustness of port-Hamiltonian systems
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We construct optimally robust port-Hamiltonian realizations of a given rational transfer function that represents a passive system. We show that the realization with a maximal passivity radius is a normalized port-Hamiltonian one. Its computation is linked to a particular solution of a linear matrix inequality that defines passivity of the transfer function, and we provide an algorithm to construct this optimal solution. We also consider the problem of finding the nearest passive system to a given non-passive one and provide a simple but suboptimal solution.
fields
math.OC 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Minimal-norm static feedbacks using dissipative Hamiltonian matrices
A parametrization of stabilizing feedbacks using dissipative Hamiltonian matrices enables SDP computation of minimal-norm static feedbacks for LTI systems, with extension to the SOF problem.