摘要
本文对于具有滞后型执行机构的不确定性Lurie控制系统,构造了一个关于Lyapunov泛函中自由参数的LMI,通过这个LMI的解来构造Lyapunov泛函保证系统的鲁棒绝对稳定性。在此基础上,获得了保证系统绝对稳定的鲁棒扰动界的LMI,并给出了利用迭代法获得鲁棒扰动界的方法。最后给出一个实例说明本文方法的有效性。
In this paper, a LMI is given for free parameters of Lyapunov functional of Lurie control systems with lime - delay stationary components. The Lyapunov functional constructed by the solution of the LMI is adopted to guarantee the robust stability of the systems. Based on this, a LMI for the robust perturbation bound is obtained, and the iteration method is used to calculate the bound. Finally, an example is provided to demonstrate the effectiveness of proposed method.
出处
《计算技术与自动化》
2002年第2期1-6,31,共7页
Computing Technology and Automation
基金
博士点基金资助顶目(20053303)