Title :
Pole placement by performance criterion modification
Author :
Medanic, J. ; Tharp, H.S. ; Perkins, W.R.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
fDate :
5/1/1988 12:00:00 AM
Abstract :
A procedure is presented that modifies the state weighting matrix Q and introduces a degree of relative stability into the original performance criterion to shape the resulting optimal dynamics by positioning the closed-loop eigenvalues along the real axis of the optimal system in the linear-quadratic regulator problem. It is based on the results of the algebraic Riccati equation (ARE) which establish the invariance of certain eigenspaces of the associated Hamiltonian matrix with respect to certain perturbations of Q and the degree of relative stability
Keywords :
closed loop systems; eigenvalues and eigenfunctions; matrix algebra; optimal control; poles and zeros; stability; Hamiltonian matrix; algebraic Riccati equation; closed-loop eigenvalues; eigenspaces; invariance; linear-quadratic regulator; optimal control; performance criterion; perturbations; pole placement; stability; state weighting matrix; Eigenvalues and eigenfunctions; Guidelines; Matrix decomposition; Optimal control; Regulators; Riccati equations; Robust control; Stability criteria; State feedback; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
