Title :
Asymptotic regulation with H2 disturbance rejection
Author :
Sparks, Andrew G. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
The problem of optimal H2 rejection of stochastic disturbances while achieving asymptotic tracking of uncertain commands and asymptotic rejection of uncertain deterministic disturbances is considered. The internal model principle is used to ensure that the expected value of the tracking error approaches zero asymptotically. Necessary conditions are given to characterize controllers that minimize a performance measure consisting of an H2 disturbance rejection cost plus an upper bound on the integral square error cost for transient performance. The necessary conditions provide expressions for gradients of the cost with respect to each of the which can be utilized via numerical methods to determine optimal control gains
Keywords :
H∞ control; closed loop systems; robust control; tracking; transient response; H2 disturbance rejection; asymptotic regulation; asymptotic tracking; closed loop systems; integral square error cost; necessary conditions; optimal control gains; robust control; stochastic disturbances; tracking error; transient performance; uncertain commands; upper bound; Argon; Integral equations; Optimal control; Polynomials; Robust control; Robustness; Symmetric matrices; TV; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411713
