基于敏感传递函数的分数阶PIλ控制器的参数整定

摘要

This paper discusses the parameter tuning method of fractional-order PIλ controllers based on sensitivity trans-fer function constraint.According to the definition of sensitivity transfer function,in the plane of proportional-integral gains of PIλ controller,for fixed integral-order,the parameters of the controller are tuned by plotting the sensitivity bound ob-tained via an algebraic derivation. The bound of sensitivity transfer function is directly related to the gain-margin and the phase-margin of the system,which gives the information on the relative stability of the system. Simulation examples prove that the designed PIλ controller can achieve better dynamic performances and robustness.%讨论一种基于敏感传递函数的分数阶PIλ控制器的参数整定方法。根据敏感传递函数的定义，采用代数方法，对固定的PIλ控制器的积分阶次，在比例增益和积分增益参数平面上，按敏感传递函数的界进行PIλ控制器的参数整定。该敏感传递函数的界与系统的幅值裕度和相角裕度直接相关，给出了系统相对稳定性的信息。仿真实例表明，利用该方法设计的PIλ控制器具有良好的动态性能和鲁棒性。