CAJ | 학술논문

：同步发电机励磁系统受到物理结构的限制，励磁电压的输出含有饱和环节，其具有非线性特征。基于域方法，提出饱和励磁控制器的设计思路。首先，利用扩张状态观测器，对模型内部不确定性和外部扰动进行动态补偿，实现非线性系统的反馈线性化；然后，引入饱和指示器，将含饱和环节的线性化模型转化为多面体模型，并将饱和系统的二次稳定性条件用不等式表示出来；引入初始状态域，将初始状态域含于椭球吸引域内的几何关系表示为不等式；最后，为使系统在给定初始状态域、吸引域和线性矩阵不等式区域内满足二次稳定条件，将控制器设计问题转化为双线性矩阵不等式的求解问题。算例研究表明：设计的控制器是有效的，具有优良的控制性能。
：동보발전궤려자계통수도물리결구적한제，려자전압적수출함유포화배절，기구유비선성특정。기우역방법，제출포화려자공제기적설계사로。수선，이용확장상태관측기，대모형내부불학정성화외부우동진행동태보상，실현비선성계통적반궤선성화；연후，인입포화지시기，장함포화배절적선성화모형전화위다면체모형，병장포화계통적이차은정성조건용불등식표시출래；인입초시상태역，장초시상태역함우타구흡인역내적궤하관계표시위불등식；최후，위사계통재급정초시상태역、흡인역화선성구진불등식구역내만족이차은정조건，장공제기설계문제전화위쌍선성구진불등식적구해문제。산례연구표명：설계적공제기시유효적，구유우량적공제성능。
Excitation system of synchronous generator contained saturation element for effect of practical actuator, which had characteristic of saturation nonlinearity. This paper presented a novel approach based on regional method to design saturation excitation controller with input saturation element in excitation system. Firstly, extended state observer （ESO） was used to cancel internal uncertainty and external disturbance, and feedback linearization model of nonlinear system was gained. Secondly, an indicator of the degree of saturation of the ith entry of the control vector was applied to transform the saturation system into the polytopic system, and the conditionsof the quadric stability of saturation system were expressed as matrix inequalities after dealing with the model of saturation system. Thirdly, the relation that the set of initial condition contained in the ellipsoidal region of attraction could be expressed as matrix inequalities in order to guarantee the local stability of saturation system. Thus, the problem of controller design considering of the set of initial conditions, region of attraction, and linear matrix inequalities （LMI） region, was transformed into solving the problem of bilinear matrix inequalities （BMI）. Finally, the validity of the proposed method and excellent control performance are illustrated in the case study.