Title :
Sensitivity analysis of the feedback synthesis problem
Author :
Konstantinov, M.M. ; Petkov, P.H. ; Christov, N.D.
Author_Institution :
Univ. of Archit. & Civil Eng., Sofia, Bulgaria
fDate :
4/1/1997 12:00:00 AM
Abstract :
Sensitivity analysis of the feedback synthesis problem (FSP) for linear multivariable systems is presented. Both local linear and nonlocal nonlinear perturbation bounds are derived using the Schur form of the closed-loop state matrix. Condition numbers for the general FSP and the pole assignment problem in particular are given. Restrictions are imposed only on the degrees of the invariant polynomials of the closed-loop matrix but not on its spectrum
Keywords :
closed loop systems; control system synthesis; feedback; matrix algebra; multivariable control systems; pole assignment; sensitivity analysis; state-space methods; Schur form; closed-loop matrix; closed-loop state matrix; feedback synthesis problem; invariant polynomials; linear multivariable systems; local linear perturbation bounds; nonlocal nonlinear perturbation bounds; pole assignment problem; sensitivity analysis; Control system synthesis; Differential algebraic equations; Linear algebra; Linear systems; MIMO; Matrices; Output feedback; Polynomials; Sensitivity analysis; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
