不确定中立型时滞系统的鲁棒控制

针对含有非匹配条件的范数有界线性不确定中立型时滞系统,研究该类系统的鲁棒稳定和二次性能控制问题.基于Lyapunov泛函方法,导出该系统的稳定性和性能指标与时滞及其导数有关的充分条件,该条件等价于线性矩阵不等式(LMI)系统的可解性问题,进而用这组线性矩阵不等式系统的可行解,给出了使此类系统鲁棒渐近稳定且满足性能指标的状态反馈控制器设计方法.通过数值实例说明了控制器求解算法的有效性.

Robust control for linear neutral systems with uncertainties

The problem for the robust stability and quadratic performance control of linear neutral time-delay systems is studied with non-match norm-bounded uncertainties.Based on Lyapunov functional method,a sufficient criterion for stability and quadratic performance of the systems,which is dependent on the size of the time-delay and the size of its derivative,is derived and it is shown that this condition is equivalent to the solvability of a set certain linear matrix inequalities(LMIs).Furthermore,the design method of a set of desired state-feedback controller can be constructed in terms of the feasible solutions to the LMIs,which is feasible.Finally,the numerical examples illustrate the validity of the proposed method.