Based on a graphical stability criterion in parameter space, the range of proportional-gain is given. For both stable and unstable open-loop plants, the stabilizing region in integral derivative space is plotted and determined directly, not to be calculated mathematically.

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By the method, the phase shift of signal was realized with programma. Together with variable gain larger and ilter processing, it made a positive feedback loop to compensate the variation energy loss of micro cantilever.

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All other devices in between simply repeat data being sent between the two controlling devices.Once the initial device relinquishes control of the loop, other devices can gain access.

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To gain larger RA, the developed method estimated RA of the cases using the volume of n full-dimensional ellipsoids as the criteria for stability of the closed-loop systems with different control laws.

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In addition, the gain of the charge pump (114) is adjusted based on the division ratio of the N divider (111) such that the frequency synthesizer has loop characteristics of constant and stable oscillation.

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