研究了一类具有时变时滞和参数不确定性的中立型系统的鲁棒H∞控制问题,其中参数不确定性满足范数有界的条件.应用Lyapunov稳定性理论,得到了时滞相关的判据以保证闭环系统的鲁棒镇定性.此判据以线性矩阵不等式(LMI)的形式给出,并且可以通过Matlab的LMI控制工具箱方便求解.最后,给出一个数值例子验证了该方法的有效性.
Robust H∞ control problem is studied for neutral systems with time-varying delays and parameter uncertainties. The uncertainties under consideration are norm bounded. Based on the Lyapunov stability theory, a delay-dependent criterion is proposed to guarantee stabilization of the closed-loop system. The criterion obtained can be easily solved through the Matlab's LMI Control Toolbox. In the end, a numerical example is given to show the effectiveness of the result.