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期刊论文

A memoryless robust stabillizing ocntroller for a class of uncertain linear time-delay systems

苏宏业HONGYE SU† JIAN CHU† and JINGCHENG WANG†

International Journal of Systems Science, 1998, volume 29, number 22, pages 191-197,-0001,():

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摘要/描述

The memoryless robust stabilization problem is studied for a class of uncertain linear dynamic systems with time-delyays in both state and control. The uncertain time-delay systems under consideration are described by state idfferental equations with timevarying unknown-but-bounded unceratin parameters. A suffficient condition for the existence of a memoryless robust controller is derived and two methods are presented for synthesizing robust control laws for uncertain time-delaysystems. One isto transform the robust control problem into a standared H∞ control problem via the equivalent system transfor mation, and thecontrol law can be obtainedby solving an algebraic Riccati equation (ARE). The other method is to transform the sufficient condition into a linear matrix inequality (LMI) problem and the control law can be obtained by solving the LMI. Finally, a numerical example ispresented to show the feasibility of the obtained results.

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