Robust stabilization of uncertain linear systems: quadraticstabilizability and H∞ control theory |
| |
Authors: | Khargonekar P.P. Petersen I.R. Zhou K. |
| |
Affiliation: | Center for Control Sci. & Dynamical Syst., Minnesota Univ., Minneapolis, MN; |
| |
Abstract: | The problem of robustly stabilizing a linear uncertain system is considered with emphasis on the interplay between the time-domain results on the quadratic stabilization of uncertain systems and the frequency-domain results on H∞ optimization. A complete solution to a certain quadratic stabilization problem in which uncertainty enters both the state and the input matrices of the system is given. Relations between these robust stabilization problems and H∞ control theory are explored. It is also shown that in a number of cases, if a robust stabilization problem can be solved via Lyapunov methods, then it can be also be solved via H ∞ control theory-based methods |
| |
Keywords: | |
|
|