极小极大加系统(F,G,H)的输出反馈镇定

Output-feedback stabilization for min-max-plus systems (F,G, H)

研究了一般化非自治非线性极小极大加系统的输出反馈镇定问题.首先,提出了闭环系统单极大射影系统表达式.其次,研究指出闭环单极大射影子系统存在严格的颜色匹配关系.接着,针对颜色匹配的复杂情况,提出新的着色图构造.以往对闭环单极大射影子系统中出现的新增圈研究,仅涉及含有一条反馈弧的圈,本文指出新增圈中可能包含由多条反馈弧构成的圈.最后,根据新着色图和新增圈特点得到了系统输出反馈镇定的一个充分条件.

The problem of output-feedback stabilization for a general nonlinear, non-autonomous min-max-plus system is studied; new results of nonlinear discrete event dynamic systems are described. First, the max-plus projection system representation for a closed-loop system with min-max-plus output feedback is proposed. Second, strict color-match requirements for the closed-loop max-plus projection system are pointed out. Then, based on the complexity of the color-match requirements, a new coloring graph structure is presented. Previous researches only considered new circuits relating to one feedback edge in the closed-loop max-plus projection system; whereas in this paper, it is pointed out that more feedback edges can be included in the new circuits. Finally, a sufficient condition for output feedback stabilization of min-max-plus system is derived according to the new coloring graph and new circuits characteristics.