ROBUST H-INFINITY CONTROL FOR LINEAR-SYSTEMS WITH NORM-BOUNDED TIME-VARYING UNCERTAINTY

This note focuses on the problem of robust H(infinity) control design for linear uncertain systems with time-varying norm-bounded uncertainty in both the state and input matrices. The note presents a state feedback control design which stabilizes the plant and guarantees an H(infinity)-norm bound constraint on disturbance attenuation for all admissible uncertainties. The robust H(infinity) control problem is solved via the notion of quadratic stabilization with an H(infintiy)-norm bound. Necessary and sufficient conditions for quadratic stabilization with an H(infintiy)-norm bound are derived. The results can be regarded as extensions of existing results on H(infinity) control and robust stabilization of uncertain linear systems.