Title :
A homotopy algorithm for full-order LQG controller synthesis with an H/sup /spl infin// performance bound
Author :
Ge, Yuzhen ; Watson, Layne T. ; Collins, Emmanuel G., Jr. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Comput. Sci., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
Abstract :
A globally convergent homotopy algorithm for a full-order LQG controller design problem with an H/sup /spl infin// constraint on disturbance attenuation is developed. The H/sup /spl infin// constraint is enforced by replacing the covariance Lyapunov equation by a Riccati equation whose solution gives an upper bound on H/sup 2/ performance. The numerical algorithm, based on homotopy theory, solves the necessary conditions for a minimum of the upper bound on H/sup 2/ performance.
Keywords :
H/sup /spl infin// control; Riccati equations; asymptotic stability; closed loop systems; control system synthesis; linear quadratic control; H/sup /spl infin// constraint; H/sup /spl infin// performance bound; H/sup 2/ performance; Riccati equation; asymptotic stability; disturbance attenuation; full-order LQG controller; homotopy algorithm; necessary conditions; upper bound; Aerospace engineering; Centralized control; Computer science; Control system synthesis; Cost function; Entropy; Government; Hydrogen; Riccati equations; Upper bound;
Conference_Titel :
Southcon/94. Conference Record
Conference_Location :
Orlando, FL, USA
Print_ISBN :
0-7803-9988-9
DOI :
10.1109/SOUTHC.1994.498096
