具有输入非线性的离散时间系统预测控制的稳定性分析

摘要

For systems with input nonlinearities,a two-step control scheme is adopted.For linear part the control law with Riccati iteration matrices satisfying certain conditionS is used to get the Lyapunov function.The stability conditions are investigated,considering the reversion errors coming from solving nonlinear algebraic equation and desaturation computation,which give tuning guideliines for the real systems.Simulation studies validate the results of theoretical analysis.%对存在输入非线性的系统,采用两步法预测控制策略.对线性部分采用Riccati迭代矩阵满足一定条件的控制律以得到Lyapunov函数,进而研究了存在非线性反算误差(由非线性方程求解误差和解饱和算法形成)时两步法使系统保持稳定的条件,给出了实际系统参数调整的指导方法.通过仿真说明了理论分析结果的有效性.