Title :
Relaxing the detectability condition for the algebraic Riccati equation
Author :
Tan, F. ; Vogt, W.G. ; Mickle, M.H.
Author_Institution :
University of Pittsburgh, Department of Electrical Engineering, Pittsburgh, USA
Abstract :
For a linear system, the detectability condition can be weakened to the Hamiltonian matrix composed of (A, B, Q, R) having eigenvalues with nonzero real parts, for the existence of the unique positive semidefinite stabilising solution of the algebraic Riccati equation. This condition yields the optimal feedback gain and can always be easily obtained by a given iterative technique.
Keywords :
eigenvalues and eigenfunctions; feedback; iterative methods; matrix algebra; Hamiltonian matrix; algebraic Riccati equation; detectability condition; eigenvalues; iterative technique; linear system; nonzero real parts; optimal feedback gain;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19870794
