动态时滞系统的基于观测器的H_∞非脆弱控制

H_∞ Non-fragile Observer-based Control of Dynamical System with Time Delay

讨论了一类时滞系统的基于观测器的H∞非脆弱控制问题。基于Lyapunov稳定性理论,通过选择适当的Lyapunov泛函,并用线性矩阵不等式(LMI)最优化途径解决了这类H∞非脆弱控制问题,给出了系统能稳和H∞非脆弱控制的时滞依赖条件,最后用数值例子验证了结论的有效性。

This paper is concerned with the H∞ non - fragile observer - based control problem for a dynamic system with time delay. Based on Lyapunov stability theory, delay - dependent stabilization criterions and H∞ non - fragile control are proposed for such a system by choosing an appropriate Lyapunov functional and using Linear matrix inequality （LMI）. Finally, a numerical example is given to illustrate the feasibility of the results.