Title :
Stability theory for linear time-invariant plants with periodic digital controllers
Author :
Francis, Bruce A. ; Georgiou, Tryphon T.
Author_Institution :
Dept. of Electr. Eng., Toronto Univ., Ont., Canada
fDate :
9/1/1988 12:00:00 AM
Abstract :
The control of a linear time-invariant plant by a digital controller composed of a sampler, a periodic discrete-time component, and a zero-order hold is considered. The stability of such a configuration is analyzed. It is shown how closed-loop zeros can be placed using such a scheme. As a consequence, it is proved that the gain margin can be arbitrarily assigned by suitable choice of sampling time and digital controller. The design procedure is constructive, using state-space methods
Keywords :
control system synthesis; digital control; discrete time systems; linear systems; stability; state-space methods; time-varying systems; control system synthesis; discrete time systems; linear systems; periodic digital controllers; stability theory; time-invariant plants; type-varying systems; Circuits; Control systems; Difference equations; Digital control; Frequency domain analysis; Memory management; Robust control; Sampling methods; Stability analysis; State-space methods;
Journal_Title :
Automatic Control, IEEE Transactions on
