摘要
参数不确定和时滞广泛存在于各种实际的控制系统中,而且它们往往是导致系统不稳定或性能下降的原因。本文基于Lyapunov稳定性理论,通过构造简化的Lyapunov-Krasovskii泛函,同时应用线性矩阵不等式(LMI:linearmatrix inequality)方法,研究了参数不确定和单时变时滞系统的鲁棒稳定性问题,并导出了由LMI表示的该类系统的鲁棒稳定性判据,而且,通过这类简化的L-K泛函,在充分利用时滞信息的基础上减少了判据的保守性。最后借助含不确定性扰动的具有单时变时滞的单机-无穷大系统模型,分析了保持鲁棒稳定时系统可承受的最大时滞的界限,数值仿真验证了方法的有效性。
Uncertainties and time delays exist in practical control systems, which often lead to instability or performance degradation. In particular, with improved Lyapunov-Krasovskii functionals, together with linear matrix inequalities （LMI） approach, we study robust stability of time-varying delay systems with parametric uncertainties. In this paper we first re-visit some delay-dependent LMI stability criteria. Then the stability analysis process is made more concise by simplifying Lyapunov-Krasovskii functionals, which can be graded more easily, and thus results in stability conditions of less conservativeness. Finally, using the single-machine-infinite-bus system as application, we illustrate upper bounds of time delay in the system that are allowable for the system to be robustly stable. Numeric simulation verifies validity of the suggested methods.
出处
《电子设计工程》
2013年第10期106-109,共4页
Electronic Design Engineering
