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研究了一类不确定非线性时滞系统的鲁棒可靠H∞控制问题。通过Lyapunov泛函方法及LMI技术,首先针对无不确定性非线性时滞系统给出了使其保持全局指数稳定且具有给定扰动抑制水平的充分条件。通过简单运算,获得了存在参数扰动的不确定非线性系统的LMI条件。应用LMI最优化方式设计的鲁棒可靠H∞状态反馈控制。数值算例演示了结论的有效性。
The robust and reliable H∞ control problem for a class of uncertain nonlinear systems with time-delay is studied. By Lyapunov functional method and LMI technique, the sufficient conditions for keeping the global exponential stability and the given disturbance rejection level are given for the nondeterministic nonlinear time-delay systems. Through simple calculation, the LMI condition of the uncertain nonlinear system with parameter perturbation is obtained. Robust and Reliable H∞ State Feedback Control Based on LMI Optimization. The numerical example demonstrates the validity of the conclusion.