中文摘要：

针对控制信号不等间隔采样的非一致采样系统，提出了一种基于状态观测器的状态反馈预测控制算法．通过提升控制信号，设计了输入、输出同周期的非一致采样系统的状态观测器，并且给出了提升控制信号前后观测器系数矩阵的关系．运用线性矩阵不等式方法，解决了无穷时域二次型性能指标下的优化问题，给出了状态反馈预测控制器存在的充分条件．仿真结果证明了控制算法的有效性．

英文摘要：

A state-feedback predictive control algorithm based on state-estimator for the non-uniformly sampled system, in which the control signals are updated in different instants, is proposed. Input control signals and output signals can have same period by lifting control signals, and then a computationally effective non-uniformly sampled system estimated states scheme is presented. The sufficient conditions on the existence of the state feedback control are given and expressed as a set of linear matrix inequalities,and optimization problems under quadratic performance index are solved here. Simulation results show the effectiveness of the control algorithms.