分段可压缩路径的切换优化算法

摘要

针对切换控制系统可渐近稳定的充分条件的难题,提出了一种分段可压缩路径的搜索算法.分析了压缩路径的切换控制规律,并对常规可压缩路径的切换控制进行了优化,提出了最短和加权平均可压缩优化路径算法及峰值控制优化算法.通过实例Matlab程序仿真寻找可压缩路径的优化参数,比对切换实验数据,演示不同优化算法下的切换率稳定和收敛状况.%For the puzzle of sufficiency conditions on asymptotical stability of the switched systems, a piecewise contractive path searching algorithm was given out. The paper analyzed the rules of switched control on the contractive path. The least length and weighted average contractive paths and peak value control algorithms were put forward by optimizing the general contractive path' s switched control. Some instances were simulated and optimized by Matlab procedures. The optimal parameters were found and the switched experiment data were analyzed and compared, which showed the stability and convergence under different optimal algorithms.