一类不确定广义系统的非脆弱H_∞控制

Non-fragile H_∞ Control for an Uncertain Descriptor System

研究一类时变时滞不确定广义系统的非脆弱H∞控制问题。在系统矩阵、滞后状态矩阵、输入矩阵和滞后输入矩阵都具有不确定性时,带有反馈增益扰动的控制器能够保证闭环系统是正则、无脉冲、稳定的且满足性能条件。控制器的增益可通过求解一系列严格线性矩阵不等式得到。最后,数值例子说明了所给方法的有效性。

The problem of non-fragile H∞ controller for uncertain descriptor systems with time-varying delays is studyed. The controller is designed when parameter uncertainties exist in system matrix, delayed system state matrix, control input matrix, delayed control input matrix, and inaccuracies exist in control gain, so as to guarantee that the closed-loop system is regular, impulse-free,a-stable, also satisfies a prescribed H∞ performance condition. The controller gain is obtained via solving a set of strict linear matrix inequalities. Finally, a numerical example is provided to demonstrate the application of the proposed method.