非线性关联不确定变时滞系统的鲁棒绝对稳定控制

Robust Absolute Stabilization for Uncertain Nonlinear Interconnection Systems with Time-varying Delays

采用积分不等式,研究了一类具有状态和输入变时滞的非线性关联不确定系统的鲁棒综合问题.基于线性矩阵不等式(LMI)分别导出了具有扇形角约束和范数有界约束的两类非线性关联不确定系统的线性无记忆状态反馈控制律设计方法,该方法不要求系统的两输入项对系统完全可控.数值实例说明了本文方法的有效性.

The problem of robustly and absolutely stable control for uncertain nonlinear interconnection systems with state and input-time-varying delay is studied in terms of integral inequality. Linear memoryless state-feedback control law is derived for two classes of uncertain nonlinear interconnection systems with sector restriction or normbounded restriction based on Linear Matrix Inequality （LMI）. This method doesn＇t require that two input terms are absolutely controllable for nonlinear delay systems. Numerical examples are used to demonstrate the validity of the proposed method.