Abstract
A state feedback controller design method is proposed for linear discrete-time systems driven by actuators with certain types of nonlinearities. Bounded additive noises are assumed to exist when the state variables are measured for feedback. The controller is required to bring and confine all state trajectories to an ultimate boundedness region. The trade-off between getting a small ultimate boundedness region and tolerating large noises is formulated as an optimization problem under the framework of the linear matrix inequality approach.
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