关键词: 切换控制, 可压缩路径, 切换李雅普诺夫函数, 路径优化, 峰值优化

Abstract: 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.

Key words: switched control, contractive path, switched Lyapunov function, optimal path, optimal peak value