Title :
Necessary and sufficient conditions for existence of decoupling controllers
Author_Institution :
Dept. of Control Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan
fDate :
8/1/1997 12:00:00 AM
Abstract :
It is well known that if a linear time-invariant plant is free from coincidences of poles and zeros in the right half-plane, then it can be decoupled with internal stability under unity-feedback configuration. We consider plants for which such coincidences do occur and give necessary and sufficient conditions under which stabilizing decoupling controllers exist. The conditions derived, based on transfer matrices and residues, are simple and straightforward
Keywords :
feedback; linear systems; multivariable systems; poles and zeros; stability; transfer function matrices; decoupling controllers; internal stability; linear time-invariant systems; multivariable systems; necessary condition; poles; sufficient condition; transfer matrix; unity-feedback; zeros; Automatic control; Control system synthesis; Control systems; Frequency domain analysis; Linear matrix inequalities; MIMO; Poles and zeros; Stability; Sufficient conditions; Sun;
Journal_Title :
Automatic Control, IEEE Transactions on
