切换拟对称组合系统的降阶方法及稳定性分析

Approach of reducing-order and the analysis of stability for switched para-symmetry composite systems

切换拟对称组合大系统其结构上的特殊性,为这种切换系统的简化降阶提供了有效方法.从简化后的切换系统入手,可方便地研究原系统的稳定性问题:a)在任意切换律下,切换拟对称组合系统二次稳定;b)构造切换律,使切换拟对称组合系统二次稳定.最后,通过仿真验证文中结论的正确性.这对于某些实际问题,如大型电力供应系统、军事系统中的舰队护航、多直升机吊物系统及大范围动物种群生态系统等有着重要的理论与应用价值.

Using the structural features of the switched para-symmetry composite systems, an approach of order reduction for this switched system is given in this paper. From the reduced system, it is very convenient to study the stability of original switched system, including： a） the switched system is quadratically stable under arbitrary switching laws, b） the switched system is quadratically stable under the designed switching law. Finally, results in this paper are validated by simulation. These results are of the significance in both theory and practice to some pragmatic problems such as the large-scale power system, the armada convoy system, the lift system by helicopters and the large-scale animal system.