Title :
Controller parametrization for time-varying multirate plants
Author :
Ravi, R. ; Khargonekar, P.P. ; Minto, K.D. ; Nett, C.N.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
fDate :
11/1/1990 12:00:00 AM
Abstract :
The authors obtain a parametrization of all stabilizing controllers for a given discrete-time time-varying linear finite-dimensional multirate system. The parametrization is a natural extension of the Youla parametrization of all stabilizing controllers to the setting of multirate systems. The set of all stabilizing controllers is shown to be the set of all closed-loop systems obtained by terminating a fixed two-port multirate system in a stable multirate system. State-space formulas for the parametrization are also given
Keywords :
closed loop systems; discrete time systems; linear systems; multivariable systems; state-space methods; time-varying systems; Youla parametrization; closed-loop systems; discrete time systems; linear finite-dimensional multirate system; stabilizing controllers; state space; time varying systems; two port systems; Control systems; Lyapunov method; Robust stability; Robustness; Sampling methods; Stability criteria; State feedback; State-space methods; Sufficient conditions; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
