Title :
Robust stability and performance analysis for linear dynamic systems
Author :
Bernstein, Dennis S. ; Haddad, Wassim M.
Author_Institution :
Harris Corp., Melbourne, FL, USA
fDate :
7/1/1989 12:00:00 AM
Abstract :
In a recent paper K. Zhou and P.P. Khargonekar (ibid., vol.AC-32, pp.621-623, 1987) obtained sufficient conditions for robust stability over specified sets of matrix perturbations. These results are here extended to include performance bounds. Performance is defined as the worst-case expected value of a quadratic functional involving the state variables when the system is subjected to white noise disturbances. The results are illustrated by considering the gain margin of both an LQG controller and a robustified design obtained by D.S. Bernstein and S.W. Greeley (1986) for J.C. Doyle´s examples
Keywords :
linear systems; optimal control; stability; LQG controller; dynamic systems; gain margin; linear systems; matrix perturbations; optimal control; performance analysis; performance bounds; quadratic functional; robust stability; sufficient conditions; white noise disturbances; worst-case expected value; Aerodynamics; Aerospace engineering; Control system synthesis; Degradation; Equations; Performance analysis; Robust control; Robust stability; Robustness; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
