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This paper compares two techniques that are commonly used to prevent the pole-zero cancellation phenomenon inherent to the Riccati-based Hinfin mixed sensitivity approach. The first technique uses a strategy based on the reformulation of the mixed-sensitivity design problem, where the closed loop transfer function from the plant input to the plant output is penalized. The second technique combines the Hinfin optimal control with the bilinear transformation. The effectiveness of the techniques is illustrated by designing power system stabilizers for a simple power system. Computer simulations show that these techniques are effective in improving the damping of the system.