摘要
研究一类含有非线性扰动的广义离散区间系统的鲁棒非脆弱H∞控制问题,所研究的非线性扰动满足Lipschitz条件.首先,利用Lyapunov函数理论,研究不确定非线性广义系统的鲁棒H∞控制问题;其次,以线性矩阵不等式(LMI)形式,给出了系统鲁棒非脆弱H∞控制器存在的充分条件,使得对于所有容许不确定性,闭环系统都允许且H∞性能指标满足给定上界.同时,给出状态反馈控制器的设计方法;最后,用数值例子表明了所提出方法的有效性.
The problem of robust and non-fragile H∞ control for a class of descriptor discrete interval systems with nonlinear disturbance was studied,where the nonlinear disturbance satisfies the Lipschitz condition.First of all,based on the theory of Lyapunov function,the robust H∞ control problem of the uncertain nonlinear descriptor system was described;Secondly,a sufficient condition for the existence of robust and non-fragile H∞ controller was given by linear matrix inequality approach,which guarantees that the resulting closedloop descriptor system is admissible and satisfies a prescribed H∞ normbounded constrain for all admissible uncertainties.Meanwhile,the design method of the state feedback controller was proposed.Finally,numerical simulation results indicated the effectiveness of the developed method.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2012年第3期305-309,共5页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(61074005)
