CAJ | 학술논문

提出最佳有理逼近微积分等价传递的线性控制理论及应用，采用分数阶微积分的思想，在数据域进行控制曲线离散化后的微分处理和积分处理，很好地表征控制曲线的特性，在此基础上，实现精确的曲线有理逼近；采用一组曲线进行有理逼近实验，结果显示，新方法可以在很高的精度下，实现线性控制曲线的有理逼近，可以被很好地应用到工业控制中。
제출최가유리핍근미적분등개전체적선성공제이론급응용，채용분수계미적분적사상，재수거역진행공제곡선리산화후적미분처리화적분처리，흔호지표정공제곡선적특성，재차기출상，실현정학적곡선유리핍근；채용일조곡선진행유리핍근실험，결과현시，신방법가이재흔고적정도하，실현선성공제곡선적유리핍근，가이피흔호지응용도공업공제중。
the idea of fractional calculus in data domain to achieve discrete differential treatment of control curve and post-integration process was used, with which, the characteristics of the control curve was showed well, on this basis, the precise curve rational approximation was achieved. A set of rational approximation curve was taken to do the test experi-ment, and the result shows that with this method, the linear control curve rational approximation is realized in high accu-racy, so it can be applied in industrial control very well.