不确定离散时滞控制饱和系统L2增益分析设计

针对离散时间不确定含时滞和控制饱和系统的镇定和干扰抑制问题,提出了状态反馈和抗饱和动态输出反馈方法。该方法利用Lyapunov函数可获得时滞相关的线性矩阵不等式。线性矩阵不等式条件可保证不确定闭环系统的无干扰时鲁棒内稳定性和在某椭球内预先给定的有干扰时L2性能水平。通过把状态反馈增益视为一自由参数,利用所得到的优化问题给出了控制器设计的具体步骤,通过仿真算例证明该方法的有效性。

Stabilization and L2-gain analysis of uncertain discrete-time systems with state delay and actuator saturation

For uncertain time-delay discrete-time systems with actuator saturation,the paper deals with stabilization and disturbance rejection respectively in state-feedback and dynamic output-feedback cases.Delay-dependent linear matrix inequalities(LMIS) are derived,which ensure the robust inner stability and a prescribed L_2 performance level in an ellipsoid for the resulting closed-loop systems irrespective of the uncertainties.By viewing the state feedback gain as an additional free parameter,the corresponding optimization problems derived can easily be adapted for finding the state-feedback gain matrices(controller design).At last,the effectiveness of the method is illustrated with examples.