基于α法的离散时间线性时不变系统状态超调优化

State Overshooting Optimizing for Discrete-Time Linear Time-Invariant Systems Based on the α Method

针对离散时间线性时不变系统的调节器设计问题,提出了一种基于α法的状态超调优化设计方法.对于任意给定的可控离散时间线性时不变系统和初态,当为常数时,分析了该方法的特性,给出了状态超调优化设计的过程.在此基础上,进一步提出了α为可变值的改进优化设计方法,并成功应用到了一类四阶系统.最后,仿真算例验证了所提出方法的正确性和有效性.

Aiming at the regulator design problem for discrete-time linear time-invariant(LTI)systems,a state overshooting optimizing based on the α method is proposed in this paper.For a controllable discrete-time LTI system and an initial state,when theαis a constant,the properties of this method are analyzed,and the process of state overshooting optimizing design is given.On this basis,an improved optimizing design that with a variable α is put forward,which is successfully applied to a class of fourth-order systems.At last,a simulative example is given to verify the correctness and effectiveness of the proposed method.