摘要
基于Backstepping反推式设计方法和Lyapunov-Krasovskii泛函,讨论了一类具有三角形结构的非线性时滞系统的鲁棒镇定问题。从系统的最低阶次开始设计,逐步构造Lyapunov-Krasovskii泛函,直到最后得到使得闭环系统渐近稳定的状态反馈控制律。在每一步设计过程中,引入虚拟控制输入与误差变量,重构Lyapunov-Krasovskii泛函简化了设计步骤,放宽假设条件,扩大系统控制律的适用范围。仿真实例表明了结论的有效性。
The problem of robust stabilization for a class of nonlinear time-delay systems with triangular structure is investigated. From the lowest order of the system, the Lyapunov-Krasovskii functionals are constructed step by step, and finally the state feedback control law is obtained, which makes the closed-loop system asymptotically stable. In each step of the design process, virtual control inputs and error variables are introduced, and the Lyapunov-Krasovskii functional is reconstructed, which simplifies the design steps, relaxes the assumptions, and expands the scope of the system control law. The simulation example proves the validity of the conclusion.
出处
《控制工程》
CSCD
北大核心
2017年第11期2332-2336,共5页
Control Engineering of China
基金
国家自然科学基金(61473321)
