Title :
Computation of all stabilizing PID gains for digital control systems
Author :
Xu, Hao ; Datta, Aniruddha ; Bhattacharyya, S.P.
Author_Institution :
Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
fDate :
4/1/2001 12:00:00 AM
Abstract :
This note determines the set of all proportional-integral-derivative (PID) gains that can stabilize a given discrete-time plant of arbitrary order. Utilizing earlier results obtained for the continuous-time case and the bilinear transformation, it is shown that a complete solution can be obtained using linear programming. Several numerical examples are presented to illustrate the procedure
Keywords :
digital control; discrete time systems; linear programming; stability; three-term control; LP; bilinear transformation; continuous-time plant; digital control systems; discrete-time plant; linear programming; stabilizing PID gains; Digital control; Dynamic programming; Linear programming; Pi control; Polynomials; Proportional control; Random variables; Stability analysis; Three-term control; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
