摘要
结合分数阶微积分算子的叠加原理,提出了变阶次状态空间建模方法.将分数阶系统推广到状态空间领域,实现了最小阶状态空间转换,并可根据实际需要通过增加状态变量来提取某一阶次的输出信号.对于各阶次均小于1的变阶次状态空间实现的分数阶系统,提出了变阶次分数阶系统的稳定性判定定理.最后通过实例仿真验证了所提出方法的有效性.
A variable order of state space modeling method is proposed by combining the principle of superposition of fractional calculus operator.And the fractional order system is extended to the state space area and the minimum-order state-space conversion is achieved.An order of the output signal is extracted through increasing state variables based on actual needs.For the variable order of state space realization of fractional order systems where each order is less than 1,the stability theorem is given for the variable fractional order system.Finally,simulation results show the effectiveness of the method.
出处
《控制与决策》
EI
CSCD
北大核心
2011年第11期1757-1760,共4页
Control and Decision
关键词
分数阶系统
变阶次
状态空间建模
稳定理论
fractional order system
variable order
state space modeling
the stability theorem
