不确定多采样率min-max鲁棒预测控制

Min-max Robust Predictive Control for Uncertainty Multi-rate System

研究了不确定输入多采样率控制系统的鲁棒预测控制问题,提出了基于Lyapunov函数的min-max鲁棒预测控制算法.该算法采用线性矩阵不等式(LMI)的方法,得出无穷时域性能指标的上界γ,并证明了所得的闭环系统是鲁棒稳定的.仿真结果验证了该算法的有效性.

The robust predictive control problem of uncertainty multi-rate control system is investigated.A min-max robust predictive control algorithm based on the Lyapunov function is presented.Linear matrix inequalities（LMI） is used in this algorithm to develop the upper bound γ of H∞ performance index,which converted the optimization problem to minimize this upper bound γ,and proved that the closed-loop system is robust stability.The simulation results verify the effectiveness of the algorithm.