CAJ | 학술논문

为提高Buck变换器的控制性能，从变换器的数学模型出发，分析了分数阶PIλDμ控制器中比例参数kp和积分参数ki的可设计范围，并提出一种Buck变换器的自适应分数阶PIλDμ控制器设计方法。该方法在整数阶PID控制器基础上，按照控制性能目标函数最小准则对分数阶次参数λ和μ进行优化搜索，同时kp和ki参数按自适应律调整变化。仿真结果表明：相比传统的整数阶PID控制和分数阶PIλDμ控制，该自适应分数阶PIλDμ控制方法能使Buck变换器具有更优的电压输出性能和鲁棒性。
위제고Buck변환기적공제성능，종변환기적수학모형출발，분석료분수계PIλDμ공제기중비례삼수kp화적분삼수ki적가설계범위，병제출일충Buck변환기적자괄응분수계PIλDμ공제기설계방법。해방법재정수계PID공제기기출상，안조공제성능목표함수최소준칙대분수계차삼수λ화μ진행우화수색，동시kp화ki삼수안자괄응률조정변화。방진결과표명：상비전통적정수계PID공제화분수계PIλDμ공제，해자괄응분수계PIλDμ공제방법능사Buck변환기구유경우적전압수출성능화로봉성。
From the mathematic model of Buck converter, the design range of control parameters kp and ki in the PIλDμcontroller are analyzed, and an adaptive PIλDμ control method for controlling Buck converter is presented. In our scheme,based on the designed PID controller, the fractional ordersλandμare obtained by optimization search, meanwhile, kp and ki are adjusted according to the adaptive laws. Simulation results demonstrate that comparing with the traditional PID control and PIλDμ control, the presented adaptive fractional-order PIλDμ control method not only has better voltage output performances, but also can further improve the robustness.