Uncertain constrained discrete-time linear system is addressed using linear matrix inequality based optimization techniques. The\r\nconstraints on the inputs and states are specified as quadratic constraints but are formulated to capture hyperplane constraints as\r\nwell. The control action is of state feedback and satisfies the constraints. Uncertainty in the system is represented by unknown\r\nbounded disturbances and system perturbations in a linear fractional transform (LFT) representation. Mixed H2/H8 method is\r\napplied in a model predictive control strategy. The control law takes account of disturbances and uncertainty naturally. The validity\r\nof this approach is illustrated with two examples.
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