线性系统一步法抗饱和设计

Anti-windup design for linear system with amplitude saturation

针对线性系统输入受限的问题,基于动态输出反馈控制架构,设计了一步抗饱和方法。首先,基于Lyapunov稳定性定理设计出使闭环系统稳定的双线性矩阵不等式准则;然后,对该准则进行矩阵合同变换,改写成线性矩阵不等式的形式,并依据线性不等式形式的稳定条件,直接一步设计出主控制器和抗饱和补偿器;最后,为获得更大的吸引域估计,对所提出的基于LMI的准则进行了优化,进行了抗饱和补偿器设计实例分析,并将结果与相关文献进行比较,验证了该方法的可行性和有效性。

A one-step anti-windup(AW)method was proposed for linear system subjected to input saturation.It was designed based on the structure of dynamic output feedback controller.Firstly,applying the Lyapunov stability theory,a bi-linear stabilization criterion is obtained.By matrix cong-ruent transformation,the bi-linear stability condition can be changed into LMI criterion.Then,the nominal controller and AW compensator can be directly designed based on the LMI criterion.To obtain a larger estimation of attraction,the proposed LMI-based criterion has been improved.The results of numerical examples which can be compared with other related papers prove the feasibility and effectiveness of this method.