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Robust stabilization of uncertain linear systems: quadratic stabilizability and H control theory

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3 Author(s)
Khargonekar, P.P. ; Center for Control Sci. & Dynamical Syst., Minnesota Univ., Minneapolis, MN, USA ; Petersen, I.R. ; Kemin Zhou

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

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Automatic Control, IEEE Transactions on  (Volume:35 ,  Issue: 3 )