一类非线性不确定时滞系统时滞依赖鲁棒干扰抑制

Delay-dependent robust disturbance attenuation for a class of time-delay systems with nonlinear uncertainties

针对一类范数有界非线性不确定状态时滞系统,讨论其时滞依赖鲁棒干扰抑制问题.非线性不确定性无需满足任何匹配条件,采用将非线性不确定性转换为线性不确定性的方法来完成上述设计.基于LMI技术设计的时滞依赖无记忆状态反馈控制律,可保证闭环系统的鲁棒稳定性且能优化二次型干扰抑制水平.计算机仿真算例表明了该方法的有效性.

The problem of delay-dependent robust disturbance attenuation for a class of state-delayed systems with norm-bounded nonlinear uncertainties is discussed. No any matching condition is required for nonlinear uncertainty, and the design is implemented by converting the nonlinear uncertainty to an equivalent linear uncertain representation. The delay-dependent memoryless state-feedback control law derived in terms of linear matrix inequality guarantees the robust stability of closed-loop systems and optimizes the disturbance attenuation level. Simulation example shows the effectiveness of the approach.