非线性不确定系统的鲁棒耗散性研究

Robust Dissipation of Nonlinear Uncertain Time-delay System

从能量耗散的角度,利用一种全新的供给率,基于耗散性理论,在L-K能量函数形式给定的情况下,研究了一类具有状态非线性不确定线性时滞系统的鲁棒耗散性问题。在非线性不确定性满足增益有界条件下,给出了该类时滞系统以线性矩阵不等式(LMI)形式表示的满足系统耗散性的充分条件。

In view of energy dissipation,a novel supply rate is utilized in this paper. The problem of dissipation for linear time-delay systems is considered with a class of nonlinear uncertainty based on dissipation theory,with its special cases as H_∞ control rate and passive control supply rate. On condition that the nonlinear uncertain functions are gain bounded, a sufficient condition for dissipation in the form of linear matrix inequation is derived.