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In this thesis, a new control design is proposed for
bilinear systems. The design is based on a modified quadratic
feedback control. The new design utilizes continuous control
signals to stabilize the bilinear system globally and
exponentially. This control method can be applied for open-loop
stable, neutrally stable, and unstable bilinear systems. Since
the controller has a simple closed form, no numerical method
is required in calculating the control law. The hardware
requirement for its implementation is relatively low. Furthermore,
the continuous and bounded control signal makes the proposed
control law more compatible with real-world actuators.
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