Modern control theory course is a compulsory course for automation majors.It is based on automatic control theory course and plays an important role in teaching process.In view of the problems in the teaching of moder...Modern control theory course is a compulsory course for automation majors.It is based on automatic control theory course and plays an important role in teaching process.In view of the problems in the teaching of modern control theory,such as abstract content and weak mathematical foundation,this paper puts forward some reform suggestions from the aspects of teaching method,mathematical foundation,and the difference and connection with the course of automatic control theory,in order to improve students’learning interest and teaching quality.Based on the analysis of the teaching status of automatic control theory in School of Electronic and Electrical Engineering of Zhengzhou University of Science and Technology,combined with the reform needs of ideological and political needs,teaching methods,assessment and evaluation,this paper puts forward a multi-dimensional curriculum reform with“moral education as the center”and“case type”+“online and offline hybrid”+“ideological and political”Thinking.Some results have been obtained through practice.展开更多
The robust stability test of time-delay systems with interval parameters can be concluded into the robust stability of the interval quasipolynomials. It has been revealed that the robust stability of the quasipolynomi...The robust stability test of time-delay systems with interval parameters can be concluded into the robust stability of the interval quasipolynomials. It has been revealed that the robust stability of the quasipolynomials depends on that of their edge polynomials. This paper transforms the interval quasipolynomials into two-dimensional （2-D） interval polynomials （2-D s-z hybrid polynomials）, proves that the robust stability of interval 2-D polynomials are sufficient for the stability of given quasipolynomials. Thus, the stability test of interval quasipolynomials can be completed in 2-D s-z domain instead of classical 1-D s domain. The 2-D s-z hybrid polynomials should have different forms under the time delay properties of given quasipolynomials. The stability test proposed by the paper constructs an edge test set from Kharitonov vertex polynomials to reduce the number of testing edge polynomials. The 2-D algebraic tests are provided for the stability test of vertex 2-D polynomials and edge 2-D polynomials family. To verify the results of the paper to be correct and valid, the simulations based on proposed results and comparison with other presented results are given.展开更多
文摘Modern control theory course is a compulsory course for automation majors.It is based on automatic control theory course and plays an important role in teaching process.In view of the problems in the teaching of modern control theory,such as abstract content and weak mathematical foundation,this paper puts forward some reform suggestions from the aspects of teaching method,mathematical foundation,and the difference and connection with the course of automatic control theory,in order to improve students’learning interest and teaching quality.Based on the analysis of the teaching status of automatic control theory in School of Electronic and Electrical Engineering of Zhengzhou University of Science and Technology,combined with the reform needs of ideological and political needs,teaching methods,assessment and evaluation,this paper puts forward a multi-dimensional curriculum reform with“moral education as the center”and“case type”+“online and offline hybrid”+“ideological and political”Thinking.Some results have been obtained through practice.
基金This project was supported by the National Science Foundation of China (60572093).
文摘The robust stability test of time-delay systems with interval parameters can be concluded into the robust stability of the interval quasipolynomials. It has been revealed that the robust stability of the quasipolynomials depends on that of their edge polynomials. This paper transforms the interval quasipolynomials into two-dimensional （2-D） interval polynomials （2-D s-z hybrid polynomials）, proves that the robust stability of interval 2-D polynomials are sufficient for the stability of given quasipolynomials. Thus, the stability test of interval quasipolynomials can be completed in 2-D s-z domain instead of classical 1-D s domain. The 2-D s-z hybrid polynomials should have different forms under the time delay properties of given quasipolynomials. The stability test proposed by the paper constructs an edge test set from Kharitonov vertex polynomials to reduce the number of testing edge polynomials. The 2-D algebraic tests are provided for the stability test of vertex 2-D polynomials and edge 2-D polynomials family. To verify the results of the paper to be correct and valid, the simulations based on proposed results and comparison with other presented results are given.
