时滞依赖不确定线性系统的鲁棒H_∞控制

针对一类不确定性不满足匹配条件的具有时滞依赖不确定线性系统,研究了鲁棒H∞控制器的设计问题.基于线性矩阵不等式方法,通过构造合适的Lyapunov函数,给出了鲁棒H∞状态反馈控制器存在的充分条件,并通过求解相应的线性矩阵不等式完成了控制器的设计.仿真结果表明,所设计的控制器对所有容许的不确定性不仅使闭环系统渐近稳定,又能保证闭环系统满足一定的H∞性能指标,具有较好的抑制扰动的效果.

Robust H∞ Control for Uncertain Linear Systems with Dependent Time-delay

For a class of dependent time-delay linear systems with uncertainties which do not meet the matching conditions,the robust H∞ controller design problem is considered.Based on linear matrix inequality approach,the sufficient condition of robust H∞ controller is put forward by constructing Lyapunov function,and the robust H∞ controllers can be obtained by solving the corresponding linear matrix inequities.Simulation results show that this approach is able to make the closed-loop systems asymptotically stable for all admissible uncertainties,as well as satisfying H∞ properties to achieve disturbance attenuation.