摘要
研究了分数阶控制器的模拟和数字实现方法,其中数字实现是重点。数字实现是通过构造一个新的IIR型数字滤波器来对函数的分数阶微积分计算进行近似求解,然后对该滤波器进行连分式展开来完成的。以PID控制为例进行的数值仿真结果表明,用此方法设计的离散分数阶PID控制器比传统离散整数阶PID控制器具有更优的控制性能,同时也验证了该数字实现方法的正确性与可行性。
The realization of fractional-order controller including analogy and digital methods is researched. Regarding the digital realization which is the main part in this paper, a new IIR type digital filter is established and then the filter is expanded by taking advantage of continuous fractional expansion to compute the fractional-order calculus. According to the simulation results of fractional-order PID control, the discrete fractional-order PID controller designed by the digital realization method has better performance compared with the classical integer-order PID controller, and the correctness and the effectiveness of the method proposed are verified.
出处
《航天控制》
CSCD
北大核心
2012年第4期3-6,17,共5页
Aerospace Control
关键词
分数阶微积分
分数阶控制器
模拟实现
数字实现
Fractional-order calculus
Fractional-order controller
Analog realization
Digital realization
