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The farm lobby is intransigent that ethanol usage be maintained at its presently prescribed level of production.
Design objective requires the worst-case energy gain from disturbance to estimation error to be less than a prescribed level.
The design renders the augmented system asymptotically stable and guarantees the H∞ attenuation level less than a prescribed level.
A critical issue for central banks in modern economies is the inflation stabilization about a prescribed level.
The resulting design guarantees the augmented system asymptotically stable and the H∞ attenuation level less than a prescribed level.
Based on this model, the control design yields robust sheet feedback controllers and a closed-loop system capable of rejecting disturbances up to a prescribed level.
Then, H∞ filter is designed such that the filtering error system is exponentially stable in the mean square, and the L2-induced gain from the noise signal to the estimation error is guaranteed to be less than a prescribed level.
The proposed robust H∞ static output feedback controller guarantees the H2 gain of the mapping from the exogenous disturbances to the regulated output to be less than or equal to a prescribed level.
The method is formulated as an iterative optimization problem where the maximum passband1 magnitude response error is minimized and the microphone positions are optimized while ensuring that the minimum stopband attenuation is above a prescribed level.
The purpose of robust H∞ control problem, in addition to robust stochastical stability requirement, is to reduce the effect of the disturbance input on the controlled output to a prescribed level.
Lyapunov analysis is employed to show that the closed-loop system is asymptotically stable and the effect of the external disturbances/parametric error on the tracking error can be attenuated to any prescribed level.
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