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While the fuel economy achieved by the sample controller is 41.44 mpg, the final fuel economy on the proposed method is almost 59.29 mpg, and the final SOC is 64.45%.

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For showing the validity of our proposed controller, fuel economies of the proposed controller and sample controller are compared by simulator for this benchmark.

The design approach of the desired sampled data controller is also presented.

By recurring to the Kronecker product operation, the sampled-data stabilization controller is designed such that the closed-loop system is stochastically stable in the presence of noisy sampling interval.

A Takagi Sugeno (T S) fuzzy model is adopted for the neural networks and the sampled-data fuzzy controller is designed for a T S fuzzy system.

At each sampling time the controller is optimized, using the future error of the closed loop, generated by a neural model of the process.

Based on the criterion, a design algorithm for the desired sampled-data cascade controller is formulated in terms of linear matrix inequalities.

Then, a sampled-data H∞ controller is designed to stabilize the T S fuzzy system to achieve the prescribed disturbance attenuation level, which is dependent on both the size of state delay and upper bound of allowable sampling period.

Then, a guaranteed cost sampled-data fuzzy controller is developed to stabilize exponentially the closed-loop slow fuzzy system while providing an upper bound for the quadratic cost function.

On the other hand, for acquiring atomic-scale images of highly uneven samples, a simple PI controller is designed to track the desired constant sample height.

The robust sampled-data state feedback controller is obtained in terms of the solvability of certain linear matrix inequalities (LMIs).

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