一类不确定非线性时滞系统的鲁棒控制

Robust Control for a Class of Uncertain Nonlinear Systems with Time-delay

研究了一类带有不确定非线性时滞系统的鲁棒渐近稳定问题.利用李亚普诺夫稳定性定理和线性矩阵不等式工具,得到了此类系统鲁棒渐近稳定的充分条件,并给出相应的鲁棒状态反馈控制器设计.最后仿真示例表明了该方法的有效性.

The problem of robust asymptotic stability for a class of uncertain nonlinear systems with time-delay is researched.By means of Lyapunov function and linear matrix inequalities(LMIs) technique,a sufficient condition for robust asymptotic stability of the systems is obtained and robust state feedback control design is given.An illustrative example demonstrates the effectiveness of the proposed method.