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期刊论文

Robust H∞ controller design for time-varying uncertain linear systems with time-varfying state and control delays

苏宏业HONGYE SU† JIANGCHENG WANG† LI YU† and JIAN CHU†

International Journal of Systems Science. 1998, volume 29, number 8, pages 863-872,-0001,():

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摘要/描述

The robust H∞ control problem for time-varying uncertain linear systems with timevarying state and control delaysis considered. Based on the Riccati equationapproach, we design a robust H∞ linear time-invariant state feedback control law. Which stabilizes the system and resduces the effect of the disturbance input on the controlled output to a prescribed level for all admissible uncertainties. A sufficientcondition for the existenceofthe robust H∞ controller is derived and two synthesis methods are presented for a robust H∞ control law to uncertain time-delay systems. One is to concription for the sufficient condition and the cntrol law can be obtained by solving an algebraic Riccati equation (ARE). The other method is to transform the sufficient condition into a linear matriz inequality (LMI) problem and the control law can be obtained by solving the LMI. A numerical example is presented to illustrate the obtained results.

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