CAJ | 학술논문

利用非线性系统的微分几何理论,在Boost变换器仿射非线性模型基础上,推导出对应的非线性坐标变换矩阵和状态反馈表达式,得到Boost变换器状态反馈精确线性化模型。在此线性化模型基础上,选取线性切换函数和指数趋近律,设计滑模变结构控制器。研究对比表明,所提出的精确反馈线性化滑模变结构控制策略具有良好的动态响应调节和稳态误差调节特性,同时克服了现有精确反馈线性化控制策略固有的对精确数学模型依赖性的缺点,表现出更强的鲁棒性,从而具有一般性理论和实际意义。
이용비선성계통적미분궤하이론,재Boost변환기방사비선성모형기출상,추도출대응적비선성좌표변환구진화상태반궤표체식,득도Boost변환기상태반궤정학선성화모형。재차선성화모형기출상,선취선성절환함수화지수추근률,설계활모변결구공제기。연구대비표명,소제출적정학반궤선성화활모변결구공제책략구유량호적동태향응조절화은태오차조절특성,동시극복료현유정학반궤선성화공제책략고유적대정학수학모형의뢰성적결점,표현출경강적로봉성,종이구유일반성이론화실제의의。
Used the differential geometry theory,the nonlinear coordinate change matrix and the nonlinear state variable feedback equations were proposed based on the affine nonlinear model of boost converters.Then the exact feedback linearization model was obtained.On this basis,a sliding mode controller was designed by selecting linear sliding surface and exponent reaching law.The research result shows that the control method for the exact feedback linearization sliding mode is superior to the current control method in terms of dynamic response performance and steady-stage error regulating characteristics.At the same time,the method overcomes the inherent disadvantage,which is the dependence on the model accuracy of the existing feedback linearization control method,and demonstrates a stronger robustness.So it is a theory with generality and practical significance.