摘要
针对符号函数及其派生函数在工科教研中的作用进行研究.首先,通过符号函数的定义及其性质引出其派生函数,进一步给出了派生函数的性质.其次,从提高系统的收敛速度和抗干扰性能的角度说明符号函数及其派生函数在设计系统控制器中的作用.此外,数值仿真说明了根据符号函数及其派生函数所设计的控制器的有效性.
The role of signum function and its derivative functions in teaching and research for engineering majors are studied. First, the derivative function of signum function is introduced by the definition arid properties of signum function, and the properties of the derivative function are given further. Second, from perspective of improving systems convergence rate and disturbance rejection abilities, the role of signum function and its derivative function in designing controllers for systems are illustrated. In addition, the effectiveness of the controllers designed according to the symbolic function and its derivative function are shown by simulation examples.
出处
《河南教育学院学报（自然科学版）》
2015年第1期56-59,共4页
Journal of Henan Institute of Education(Natural Science Edition)
基金
河南省科技厅科技攻关项目(112300410191)
关键词
符号函数
非线性函数
有限时间控制
抗干扰
signum function
nonlinear function
finite-time control
disturbance rejection
