短时延广义网络控制系统的指数保性能控制

Guaranteed cost control for exponential stability of singular networked control systems with short delay

本文基于标称点方法,在短时变时延条件下,研究了广义网络控制系统的指数稳定保性能控制问题.基于李雅普诺夫稳定性判据和线性矩阵不等式技术,给出了使得系统能够指数稳定且满足二次型性能指标的状态反馈控制器存在的条件和设计方法.通过采用标称点方法,有效地解决了现有方法没有考虑网络诱导时延与系统保守性的关系且适用范围有限的问题,并通过算例验证了有效性.由于建模过程中充分考虑了系统的保守性,相比之下获得了更好的二次型性能指标值.

In this paper,the exponential stable guaranteed cost control problem of singular networked control systems with short time-varying delay is studied based on the nominal point method.By using the Lyapunov stability criterion and the linear matrix inequality technique,the existence condition and the design method of a state feedback controller are given.The controller enables the system to be exponentially stable and satisfy the quadratic performance index.By using the nominal point method,the defects are solved effectively that the existing methods do not consider the relationship between the network-induced delay and the system conservativeness,and the scope of application is limited.The validity is verified by two examples.As the conservativeness of the system is fully considered in the modeling process,a better quadratic performance index value is obtained.