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Decoupling Smith control for multivariable system with time-delays
多变量时滞过程解耦Smith控制

Keywords: MIMO system,time-delay,decoupling,Smith predictor,robust stability
多输入多输出过程
,时滞,解耦,Smith控制,鲁棒稳定性

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Abstract:

The decoupling Smith control method is presented for multi-input-multi-output system with time-delays which are often encountered in practical engineering. A new method for designing the decoupler based on the adjoint matrix of the multivariable system model with time-delays is proposed. By analyzing the amplitude-frequency and phasefrequency characteristics of the decoupled model, the decoupled model is reduced to a first-order model with time-delay. According to the closed-loop characteristic equation of Smith predictor structure, a PI controller is developed by using the principle of pole assignment for Butterworth filter. Sufficient and necessary conditions for robust stability are derived for adaptive and multiplicative uncertainties commonly occurred in practice. Simulation results show the superiority of the proposed method.

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